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Applications of quantum inspired computational intelligence: a survey

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Abstract

This paper makes an exhaustive survey of various applications of Quantum inspired computational intelligence (QCI) techniques proposed till date. Definition, categorization and motivation for QCI techniques are stated clearly. Major Drawbacks and challenges are discussed. The significance of this work is that it presents an overview on applications of QCI in solving various problems in engineering, which will be very much useful for researchers on Quantum computing in exploring this upcoming and young discipline.

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Abbreviations

ANFIS:

Adaptive neuron-fuzzy inference system

AQM:

Adaptive quantum mutation

ASVR:

Adaptive support vector regression

ACO:

Ant colony optimization

AF:

Artificial fish

AFSA:

Artificial fish swarm algorithm

AI:

Artificial intelligence

BP:

Back propagation

BPNN:

Back-propagation NN

BWGC:

BPNN-weighted grey-C3LSP

CS:

Clonal selection

CGPQGA:

Coarse-grained parallel QGA

CI:

Computational intelligence

CET:

Contemporary evolution target

DE:

Differential evolution

DPSO:

Discrete binary version of PSO

EDAs:

Estimation of distribution algorithms

EA:

Evolutionary algorithms

EC:

Evolutionary computation

FQN:

Feedback QN

FCM:

Fuzzy C-means

FS:

Fuzzy system

GA:

Genetic algorithm

GD:

Gradient descent

HNN:

Hamiltonian NN

Hop.NN:

Hopfield NN

ICA:

Immune clonal algorithm

IS:

Immune systems

IMSCQGA:

Improved mutative scale chaos QGA

iPNN:

Integrative probabilistic evolving spiking NNs

IS:

Intelligent systems

K-SOFM:

Kohonen’s self-organizing feature map

LSQET:

Logarithmic search with quantum existence testing

MP:

Matching pursuit

ME:

Multi-granularity evolution

MLP:

Multilayer perceptron

NN:

Neural network

NQASVR:

Neuromorphic quantum-based adaptive support vector regression

NGARCH:

Nonlinear generalized autoregressive conditional heteroscedasticity

NQGA:

Novel QGA

PSO:

Particle swarm optimization

pSNM:

Probabilistic spiking neuron model

QoS:

Quality of service

QAM:

Quantum associative memory

Q bit:

Quantum bit

QBP:

Quantum BP

QCEA:

Quantum clone EA

Qu.Cl:

Quantum clustering

QCBPN:

Quantum complex-valued BP neuron

Qcomputer:

Quantum computer

QC:

Quantum computing

QEP:

Quantum evolutionary programming

QFSM:

Quantum finite state machines

Qgate:

Quantum gate

QACO:

Quantum inspired ACO

QAFSA:

Quantum Inspired artificial fish swarm algorithm

QCI:

Quantum inspired computational intelligence

QEA:

Quantum inspired EA

QGA:

Quantum inspired genetic algorithm

QNN:

Quantum inspired neural network

QPSO:

Quantum inspired PSO

QM:

Quantum mechanics

QMin.:

Quantum minimization

QN:

Quantum neuron

QDE:

Quantum-inspired DE

QEAs:

Quantum-inspired evolutionary algorithms

QISOM:

Quantum-inspired self-organizing map

QiSNN:

Quantum-inspired spiking NN

QT-BPNN:

Quantum-tuned BPNN

RBFNN:

Radial basis function NN

RQGA:

Real-coded QGA

RNN:

Recurrent NN

SOM:

Self-organizing map

SVMs:

Support vector machines

SA:

Swarm algorithm

vQEA:

Versatile QEA

References

  • Aarabi A, Grebe R, Wallois F (2007) A multistage knowledge-based system for EEG seizure detection in newborn infants. Clin Neurophysiol 118: 2781–2797

    Google Scholar 

  • Akbarzadeh M, Khorsand A (2005) Evolutionary quantum algorithms for structural design. In: IEEE International conference on systems, man and cybernetics, pp 3077–3082

  • Akbarzadeh M, Tayarani M (2009) Cellular probabilistic evolutionary algorithms for real-coded function optimization. In: Sarbazi-Azad H, Parhami B, Miremadi S-G, Hessabi S (eds) Advances in computer science and engineering, vol 6. Springer, Berlin, pp 741–744

    Google Scholar 

  • Alfares F, Esat II (2003) Quantum algorithms; How useful for engineering problems. In: Proceedings of 7th world conference on integrated design & process technology, pp 669–673

  • Alfares FS, Esat II (2006) Real-coded quantum inspired evolution algorithm applied to engineering optimization problems. In: 2nd international symposium on leveraging applications of formal methods, verification and validation, pp 169–176

  • Alfares F, Alfares MS, Esat II (2004) Quantum-inspired evolution algorithm: experimental analysis. In: Proceedings of 6th international conference on adaptive computing in design and manufacture, pp 377–389

  • Allauddin R, Boehmer S, Behrman E, Gaddam K, Steck J (2008) Quantum simulataneous recurrent networks for content addressable memory. In: Nedjah N, Coelho L, Mourelle L (eds) Quantum inspired intelligent systems, SCI. Springer, Berlin, pp 57–76

    Google Scholar 

  • Al-Othman AK, Al-Fares FS, El-Nagger KM (2007) Power system security constrained economic dispatch using real coded quantum inspired evolution algorithm. Int J Electr Comput Syst Eng 1: 4–10

    Google Scholar 

  • Altaisky MV (2001) Quatum neural network. http://xxx.lanl.gov/quant-ph/0107012

  • Altman C, Zapatrin RNR (2010) Back propagation training in adaptive quantum networks. Int J Theor Phys 49: 2991–2997

    MATH  MathSciNet  Google Scholar 

  • Altman C, Pykacz J, Zapatrin RNR (2004) Superpositional quantum network topologies. Int J Theor Phys 43: 2435–2445

    MATH  MathSciNet  Google Scholar 

  • Amjady N, Nasiri-Rad H (2010) Solution of nonconvex and nonsmooth economic dispatch by a new adaptive real coded genetic algorithm. Expert Syst Appl 37: 5239–5245

    Google Scholar 

  • Andrecut M, Ali MK (2002) A quantum neural network model. Int J Mod Phys 13: 75–88

    MATH  MathSciNet  Google Scholar 

  • Araujo R (2010) A quantum-inspired evolutionary hybrid intelligent approach for stock market prediction. Int J Intell Comput Cybernet 3: 24–54

    MATH  MathSciNet  Google Scholar 

  • Araujo R, Aranildo RL, Ferreira T (2008) A quantum-inspired intelligent hybrid method for stock market forecasting. In: IEEE congress on evolutionary computation, pp 1348–1355

  • Araujo R, Oliveira A, Soares S (2010) A quantum-inspired hybrid methodology for financial time series prediction. In: The 2010 international joint conference on neural networks, pp 1–8

  • Aziz M, Shamsuddin S (2010) Quantum particle swarm optimization for elman recurrent network. In: 4th Asia international conference on mathematical/analytical modelling and computer simulation, pp 133–137

  • Babaei E, Hosseinnezhad V (2010) A QPSO based parameters tuning of the conventional power system stabilizer. In: The 9th international power and energy conference, pp 467–471

  • Babu GSS, Das DB, Patvardhan C (2008) Real-parameter quantum evolutionary algorithm for economic load dispatch. Gener Transm Distrib IET 2: 22–31

    Google Scholar 

  • Baida Q, Zhuqing J, Baoguo X (2008) Research on quantum-behaved particle swarms cooperative optimization. Comput Eng Appl 44: 72–74

    Google Scholar 

  • Barkan U, Horn D (2006) Spatiotemporal clustering of synchronized bursting events in neuronal networks. Neurocomputing 69: 1108–1111

    Google Scholar 

  • Behera L (2004) Parametric optimization of a fuzzy logic controller for nonlinear dynamical systems using evolutionary computation. In: Onwubolu GC, Babu BV (eds) New optimization techniques in engineering. Springer, Berlin, pp 479–501

    Google Scholar 

  • Behera L, Kar I (2005) Quantum stochastic filtering. In: International conference on systems, man and cybernetics, vol 3, pp 2161–2167

  • Behera L, Sundaram B (2004) Stochastic filtering and speech enhancement using a recurrent quantum neural network. In: Proceedings of international conference on intelligent sensing and information processing, pp 165–170

  • Behera L, Gopal M, Chaudhury S (1996) On adaptive control of a robot manipulator using inversion of its neural emulator. IEEE Trans Neural Netw 7: 1401–1414

    Google Scholar 

  • Behera L, Chaudhury S, Gopal M (1998) Applications of self-organizing neural networks in robot tracking control. In: IEEE proceedings control theory and applications, vol 145, pp 135–140

  • Behera L, Kar I, Elitzur AC (2005) A recurrent quantum neural network model to describe eye tracking of moving target. Found Phys Lett 18: 357–370

    MATH  Google Scholar 

  • Behera L, Kar I, Elitzur AC (2006) Recurrent quantum neural network and its applications. In: Tuszynski JA (ed) The emerging physics of consciousness. Springer, Berlin, pp 327–350

    Google Scholar 

  • Benatchba K, Koudil M, Boukir Y, Benkhelat N (2006) Image segmentation using quantum genetic algorithms. In: Proceedings of 32nd annual conference on IEEE industrial electronics, pp 3556–3563

  • Bi X, Jin G (2007) Image segmentation algorithm based on quantum immune programming. In: IEEE international conference on integration technology, pp 403–407

  • Blackwell T, Branke J (2001) Multi-swarms, exclusion and anti-convergence in dynamic environments. IEEE Trans Evolut Comput 10: 459–472

    Google Scholar 

  • Cai Y, Sun J, Wang J, Ding Y, Tian N, Liao X, Xu W (2008) Optimizing the codon usage of synthetic gene with QPSO algorithm. J Theor Biol 254: 123–127

    MathSciNet  Google Scholar 

  • Cao M, Shang F (2009) Training of process neural networks based on improved quantum genetic algorithm. In: WRI world congress on software engineering, vol 2, pp 160–165

  • Cao M, Shang F (2010) Double chains quantum genetic algorithm with application in training of process neural networks. In: 2nd international workshop on education technology and computer science, vol 1, pp 19–22

  • Caprihan R, Slomp J, Gursaran AK (2009) A quantum particle swarm optimization approach for the design of virtual manufacturing cells. In: IEEE international conference on industrial engineering and engineering management, pp 125–129

  • Chai Z, Sun J, Cai R, Xu W (2009) Implementing quantum-behaved particle swarm optimization algorithm in FPGA for embedded real-time applications. In: 4th international conference on computer sciences and convergence information technology, pp 886–890

  • Chang BR (2005) Compensation and regularization for improving the forecasting accuracy by adaptive support vector regression. Int J Fuzzy Syst 7: 110–119

    MathSciNet  Google Scholar 

  • Chang BR (2006) Applying nonlinear generalized autoregressive conditional heteroscedasticity to compensate ANFIS outputs tuned by adaptive support vector regression. Fuzzy Sets Syst 157: 1832–1850

    MATH  Google Scholar 

  • Chang BR (2008) Resolving the forecasting problems of overshoot and volatility clustering using ANFIS coupling nonlinear heteroscedasticity with quantum tuning. Fuzzy Sets Syst 159: 3183–3200

    MATH  Google Scholar 

  • Chang BR, Tsai HF (2007) Neuromorphic quantum-based adaptive support vector regression for tuning BWGC/NGARCH forecast model. In: Liu D, Fei S, Hou Z, Zhang H, Sun C (eds) Advances in neural networks, LNCS, vol 4493. Springer, Berlin, pp 357–367

    Google Scholar 

  • Chang BR, Tsai HF (2009a) Novel hybrid approach to data-packet-flow prediction for improving network traffic analysis. Appl Soft Comput 9: 1177–1183

    Google Scholar 

  • Chang BR, Tsai HF (2009b) Nested local adiabatic evolution for quantum-neuron-based adaptive support vector regression and its forecasting applications. Expert Syst Appl 36: 3388–3400

    Google Scholar 

  • Chang BR, Tsai HF, Young C-P (2007) New forecasting scheme using quantum minimization to regularize a composite of prediction and its nonlinear heteroscedasticity. Int J Innov Comput Inf Control 3: 1251–1262

    Google Scholar 

  • Chang BR, Young C-P, Tsai HF, Lin J-J (2008a) Applying embedded quantum-intelligence-based ANFIS prediction to collision warning system for motor vehicle safety. In: Proceedings of IEEE 8th international conference on intelligent systems design and applications, vol 1, pp 3–6

  • Chang BR, Tsai HF, Young C-P (2008b) Diversity of quantum optimizations for training adaptive support vector regression and its prediction applications. Expert Syst Appl 34: 2612–2621

    Google Scholar 

  • Chang BR, Tsai HF, Young C-P (2010a) Intelligent data fusion system for predicting vehicle collision warning using vision/GPS sensing. Expert Syst Appl 37: 2439–2450

    Google Scholar 

  • Chang J, An F, Su P (2010b) A quantum-PSO algorithm for no-wait flow shop scheduling problem. In: Chinese control and decision conference, pp 179–184

  • Chang C, Chen C, Fan C, Chao H, Chou Y (2010c) Quantum-inspired electromagnetism-like mechanism for solving 0/1 knapsack problem. In: 2nd international conference on information technology convergence and services, pp 1–6

  • Changsheng G, Liang Z (2009) A new quantum clonal algorithm. In: Proceedings of 5th WSEAS international conference on mathematical biology and ecology, pp 93–97

  • Changsheng G, Juan H, Liang Z (2009) A new hybrid quantum evolutionary algorithm and its application. In: Proceedings of the 5th WSEAS international conference on mathematical biology and ecology, pp 98–102

  • Changqing G, Xiaoxia B, Xiaoyan W (2007) Improving congestion control algorithm in distributed space flight TT&C networks. In: IEEE international symposium on microwave, antenna, propagation, and EMC technologies for wireless communications. pp 1134–1137

  • Chen Q (2010) Flow shop scheduling problem using hybrid quantum particle swarm optimization algorithm (HQPSO). In: 2nd international conference on computational intelligence and natural computing, pp 252–255

  • Chen L, Li F (2010) A real-coded chaotic immune quantum genetic algorithm. In: International conference on future information technology and management engineering, vol 3, pp 419–422

  • Chen L, Pan F (2009) Parameters selection and application of support vector machines based on quantum delta particle swarm optimization algorithm. Autom Instrum 1: 5–8

    Google Scholar 

  • Chen M, Quan H (2007) Quantum-inspired evolutionary algorithm based on estimation of distribution. In: 2nd international conference on bio-inspired computing: theories and applications, pp 17–19

  • Chen J, Yang D (2010) Constrained handling in multi-objective optimization based on quantum-behaved particle swarm optimization. In: 6th international conference on natural computation, vol 8, pp 3887–3891

  • Chen C, Lin C, Lin C (2002) An efficient quantum neuro-fuzzy classifier based on fuzzy entropy and compensatory operation, soft computing—a fusion of foundations. Methodol Appl 12: 567–583

    Google Scholar 

  • Chen H, Zhang J, Zhang C (2004) Chaos updating rotated gates quantum-inspired genetic algorithm. In: Proceedings of international conference on communications, circuits and systems, vol 2, pp 1108–1112

  • Chen H, Zhang J, Zhang C (2005a) Real-coded chaotic quantum inspired genetic algorithm. Control Decis 20: 1300–1303

    MATH  Google Scholar 

  • Chen X, Tang Z, Li S (2005b) A modified error function for the complex-value back propagation neural networks. Neural Inf Process Lett Rev 9: 1–7

    Google Scholar 

  • Chen P, Xie ZJ, Ouyang Q (2007a) Application of quantum neural network based on multilevel transfer functions in fault diagnosis of steam turbine sets. J Power Eng 27: 569–572

    Google Scholar 

  • Chen CY, Chen CJ, Hunag HC, Chen YJ, Hwang RC (2007b) Automatic white balancing by using NN module. In: 2nd international conference on innovative computing, information and control, p 269

  • Chen C, Yang P, Zhou X, Dong D (2008a) A quantum-inspired Q-learning algorithm for indoor robot navigation. In: International conference on network sensing and control, pp 1599–1603

  • Chen W, Sun J, Ding Y, Fang W, Xu W (2008b) Clustering of gene expression data with quantum-behaved particle swarm optimization. In: Nguyen N, Borzemski L, Grzech A, Ali M (eds) New frontiers in applied artificial intelligence, LNCS, vol 5027. Springer, Berlin, pp 388–396

  • Chen R, Huang Y, Lin M (2010) Solving unbounded knapsack problem based on quantum genetic algorithms. In: Nguyen N, Le M, Swiatek J (eds) Intelligent information and database systems, LNCS, vol 5990. Springer, Berlin, pp 339–349

    Google Scholar 

  • Cheng Z, Xijun Z, Hong X (2010) Quantum genetic algorithm based clustering approach. In: 29th Chinese control conference, pp 5134–5137

  • Chi Y, Dong Y, Xia K, Shi J (2008) Continuous attribute discretization based on quantum PSO algorithm. In: 7th world congress on intelligent control and automation, pp 6187–6191

  • Chi Y, Zhao D, Xia K, Wu R (2009) Channel assignment based on QPSO algorithm. Commun Technol 42: 204–206

    Google Scholar 

  • Chiang C (2008) A symbolic controller based intelligent control system with quantum particle swarm optimization based hybrid genetic algorithm. In: IEEE congress on evolutionary computation, pp 1356–1363

  • Chiara ML Dalla, Giuntini R, Leporini R (2007) Compositional and holistic quantum computational semantics. Nat Comput 6: 113–132

    MATH  MathSciNet  Google Scholar 

  • Chou Y, Chang C, Chiu C, Lin F, Yang Y, Peng Z (2010) Classical and quantum-inspired electromagnetism-like mechanism for solving 0/1 knapsack problems. In: IEEE international conference on systems man and cybernetics, pp 3211–3218

  • Chung C, Yu H, Wong K (2011) An advanced quantum-inspired evolutionary algorithm for unit commitment. IEEE Trans Pow Syst 26: 847–854

    Google Scholar 

  • Cleaver R, Venayagamoorthy G (2009) Learning functions generated by randomly initialized MLPs and SRNs. In: IEEE symposium on computational intelligence in control and automation, pp 62–69

  • Clerc M, Kennedy J (2002) The particle swarm-explosion, stability, and convergence in a multidimensional complex space. IEEE Trans Evolut Comput 6: 58–73

    Google Scholar 

  • Coelho L (2007) Novel Gaussian quantum-behaved particle swarm optimiser applied to electromagnetic design. IET Sci Meas Technol 1: 290–294

    MathSciNet  Google Scholar 

  • Coelho L (2008) A quantum particle swarm optimizer with chaotic mutation operator. Chaos Solitons Fractals 37: 1409–1418

    Google Scholar 

  • Coelho L (2010) Gaussian quantum-behaved particle swarm optimization approaches for constrained engineering design problems. Expert Syst Appl 37: 1676–1683

    MathSciNet  Google Scholar 

  • Coelho LS, Alotto P (2008) Global optimization of electromagnetic devices using an exponential quantum-behaved particle swarm optimizer. IEEE Trans Magn 44: 1074–1077

    Google Scholar 

  • Coelho L, Herrera B (2008) Quantum Gaussian particle swarm optimization approach for PID controller design in AVR system. In: IEEE international conference on systems, man and cybernetics, pp 3708–3713

  • Coelho LS, Mariani VC (2008) Particle swarm approach based on quantum mechanics and harmonic oscillator potential well for economic load dispatch with valve-point effects. Energy Convers Manag 49: 3080–3085

    Google Scholar 

  • Coelho L, Nedjah N, Mourelle L (2008) Gaussian quantum-behaved particle swarm optimization applied to fuzzy PID controller design. In: Nedjah N, Coelho L, Mourelle L (eds) Quantum inspired intelligent systems, vol 121, SCI. Springer, Berlin, pp 1–15

    Google Scholar 

  • da Cruz A, Barbosa C, Pacheco M, Vellasco M (2004) Quantum-inspired evolutionary algorithms and its application to numerical optimization problems. In: Pal N, Kasabov N, Mudi R, Pal S, Parui S (eds) Neural information processing, LNCS, vol 3316. Springer, Berlin, pp 212–217

    Google Scholar 

  • da Cruz A, Pacheco M, Vellasco M, Barbosa C (2005) Cultural operators for a quantum-inspired evolutionary algorithm applied to numerical optimization problems. In: Mira J, Ãlvarez J (eds) Artificial intelligence and knowledge engineering applications: a bioinspired approach, LNCS, vol 3562. Springer, Berlin, pp 181–192

    Google Scholar 

  • da Cruz A, Vellasco M, Pacheco M (2006) Quantum-inspired evolutionary algorithm for numerical optimization. In: Proceedings of 2006 IEEE congress on evolutionary computation, pp 2630–2637

  • da Cruz A, Vellasco M, Pacheco M (2007) Quantum-inspired evolutionary algorithm for numerical optimization. In: Abraham A, Grosan C, Ishibuchi H (eds) Hybrid evolutionary algorithms, vol 75. Springer, Berlin, pp 19–37

    Google Scholar 

  • da Cruz A, Vellasco M, Pacheco M (2008) Quantum-inspired evolutionary algorithm for numerical optimization. In: Nedjah N, Coelho L, Mourelle L (eds) Quantum inspired intelligent systems, vol 121. Springer, Berlin, pp 115–132

    Google Scholar 

  • Dai H, Li C (2008) Improved quantum interference crossover-based genetic algorithm and its application. In: Proceedings of 1st international conference on intelligent networks and intelligent systems, pp 35–38

  • Dai J, Zhang H (2009) A novel quantum genetic algorithm for area optimization of FPRM circuits. In: 3rd international symposium on intelligent information technology application, vol 3, pp 408–411

  • Dawes RL (1992) Quantum neurodynamics: neural stochastic filtering with the Schroedinger equation. In: International joint conference on neural networks, vol 1, pp 133–140

  • Dawes RL (1993) Advances in the theory of quantum neurodynamics. In: Pribram KH (ed) Rethinking neural networks: quantum fields and biological data. Erlbaum Hillsdale, Hillsdale, NJ

    Google Scholar 

  • de Oliveira LD, Ciriaco F, Abrao T, Jeszensky P (2006) Particle swarm and quantum particle swarm optimization applied to DS/CDMA multiuser detection in flat rayleigh channels. In: IEEE 9th International symposium on spread spectrum techniques and applications, pp 133–137

  • del Amo IG, Pelta D, González J (2010) Using heuristic rules to enhance a multiswarm PSO for dynamic environments. In: IEEE congress on evolutionary computation, pp 1–8

  • Di Caro GA (2004) Ant colony optimization and its application to adaptive routing in telecommunication networks. PhD thesis in Applied Sciences, Polytechnic School, Université Libre de Bruxelles, Brussels, Belgium

  • Ding L, Chen L (2008) Research on quantum neural networks and its convergence property. In: Proceedings of 4th international conference on natural computation, vol 3. pp 296–300

  • Dirac PAM (1958) The principles of quantum mechanics. Claredon Press, Oxford

    MATH  Google Scholar 

  • Dong J, Wu R (2009) Diversity guided immune clonal quantum-behaved particle swarm optimization algorithm and the wavelet in the forecasting of foundation settlement. In: 9th international conference on electronic measurement & instruments, pp 3-573–3-577

  • Draa A, Batouche M, Talbi H (2004) A quantum-inspired differential evolution algorithm for rigid image registration. In: International conference on computational intelligence, pp 408–411

  • Draa A, Meshoul S, Talbi H, Batouche M (2010) A quantum-inspired differential evolution algorithm for solving the N-queens problem. Int Arab J Inf Technol 7: 21–27

    Google Scholar 

  • Duan Q, Wu R, Dong J (2010) Multiple swarms immune clonal quantum-behaved particle swarm optimization algorithm and the wavelet in the application of forecasting foundation settlement. In: 2nd international Asia conference on informatics in control, automation and robotics, pp 109–112

  • Du Z, Wang X (2010) A novel identification method based on QDPSO for Hammerstein error-output system. In: Chinese control and decision conference, pp 3335–3339

  • Du J, Wei L (2009) Quantum behaved particle swarm optimization for origin—destination matrix prediction. In: 2nd International conference on power electronics and intelligent transportation system, vol 1, pp 133–136

  • Du G, Liu L, Li J, Fang J, Chen J (2009a) Process modeling and optimization for enhanced hemicellulase production by Aspergrillus niger using artificial neural network coupling quantum-behaved particle swarm optimization algorithm. J Biosci Bioeng 108: S127

    Google Scholar 

  • Duan H, Xing Z, Xu C (2009b) An improved quantum evolutionary algorithm based on artificial bee colony optimization. In: Yu W, Sanchez E, (eds) Advances in computational intelligence, vol 116. Springer, Berlin, pp 269–278

  • Durr C, Hoyer P (2005) A quantum algorithm for finding the minimum. http://arxiv.org/abs/quant-ph/9607014

  • Everett H (1957) “Relative state” formulation of quantum mechanics. Rev Mod Phys 29: 454–462

    MathSciNet  Google Scholar 

  • Ezhov A, Ventura D (2000) Quantum neural networks. In: Kasabov N (ed) Future directions for intelligent systems and information sciences. pp. 213–234

  • Ezhov AA, Nifanova AV, Ventura D (2000) Distributed queries for quantum associative memory. Inf Sci 128: 271–293

    MATH  MathSciNet  Google Scholar 

  • Fan K, Brabazon A, O’Sullivan C, O’Neill M (2007a) Quantum-inspired evolutionary algorithms for calibration of the VG option pricing model. In: Giacobini M (ed) Applications of evolutionary computing, LNCS, vol 4448. Springer, Berlin, pp 189–198

    Google Scholar 

  • Fan K, Brabazon A, O’Sullivan C, O’Neill M (2007b) Option pricing model calibration using a real-valued quantum-inspired evolutionary algorithm. In: Proceedings of 9th annual conference on genetic and evolutionary computation, pp 1983–1990

  • Fan K, O’Sullivan C, Brabazon A, O’Neill M (2008a) Non-linear principal component analysis of the implied volatility smile using a quantum-inspired evolutionary algorithm. In: Brabazon A, O’Neill M (eds) Natural computing in computational finance, vol 100. Springer, Berlin, pp 89–107

    Google Scholar 

  • Fan K, Brabazon A, O’Sullivan C, O’Neill M (2008b) Quantum-inspired evolutionary algorithms for financial data analysis. In: Giacobini M, Brabazon A, Cagnoni S, Di Caro G, Drechsler R, Ekurt A, Esparcia-Alcuzar A, Farooq M, Fink A, McCormack J, O’Neill M, Romero J, Rothlauf F, Squillero G, Uyar A, Yang S (eds) Applications of evolutionary computing, LNCS, vol 4974. Springer, Berlin, pp 133–143

    Google Scholar 

  • Fang W, Sun J, Xu W, Liu J (2006a) FIR digital filters design based on quantum-behaved particle swarm optimization. In: 1st international conference on innovative computing, information and control, pp 615–619

  • Fang W, Sun J, Xu W (2006b) Design IIR digital filters using quantum-behaved particle swarm optimization. In: Jiao L, Wang L, Gao X, Liu J, Wu F (eds) Advances in natural computation, LNCS, vol 4222. Springer, Berlin, pp 637–640

    Google Scholar 

  • Fang W, Sun J, Xu W (2006c) Analysis of adaptive IIR filter design based on quantum-behaved particle swarm optimization. In: 6th world congress on intelligent control and automation, pp 3396–3400

  • Fang W, Sun J, Xu W (2006d) Design of two-dimensional recursive filters by using quantum-behaved particle swarm optimization. In: International conference on intelligent information hiding and multimedia signal processing, pp 240–243

  • Fang W, Sun J, Xu W (2008) FIR filter design based on adaptive quantum-behaved particle swarm optimization algorithm. Syst Eng Electron 30: 1378–1381

    Google Scholar 

  • Fang W, Sun J, Xu W (2009) Analysis of mutation operators on quantum-behaved particle swarm optimization algorithm. New Math Nat Comput 5: 487–496

    MATH  Google Scholar 

  • Fang W, Sun J, Xu W (2010) Convergence analysis of quantum-behaved particle swarm optimization algorithm and study on its control parameter. Acta Physica Sinica 59: 3686–3694

    MATH  Google Scholar 

  • Feng B, Xu W (2004a) Quantum oscillator model of particle swarm system. In: 8th control, automation, robotics and vision conference, vol 2, pp 1454–1459

  • Feng B, Xu W (2004b) Adaptive particle swarm optimization based on quantum oscillator model. In: IEEE conference on cybernetics and intelligent systems, vol 1, pp 291–294

  • Feng X, Wang Y, Ge H, Zhou C, Liang Y (2006) Quantum-inspired evolutionary algorithm for travelling salesman problem. In: Liu GR, Tan VBC, Han X (eds) Computational methods. Springer, Netherlands, pp 1363–1367

    Google Scholar 

  • Feng X, Blanzieri E, Liang Y (2008a) Improved quantum-inspired evolutionary algorithm and its application to 3-SAT problems. In: International conference on computer science and software engineering, vol 1, pp 333–336

  • Feng B, Wang Z, Sun J (2008b) Image threshold segmentation with Ostu based on quantum-behaved particle swarm algorithm. Comput Eng Des 29: 3429–3431

    Google Scholar 

  • Feng X, Blanzieri E, Liang Y (2008c) Improved quantum-inspired evolutionary algorithm and its application to 3-SAT problems. In: International conference on computer science and software engineering, vol 1, pp 333–336

  • Feng B, Wang Z, Sun J (2009) Niche chaotic mutation quantum-behaved partical swarm optimization. Comput Appl Softw 26: 50–52 (in Chinese)

    Google Scholar 

  • Feynman RP, Hibbs AR (1965) Quantum mechanics and path integrals. McGraw-Hill, New York, NY

    MATH  Google Scholar 

  • Feynman RP, Leighton RB, Mark S (1965) The Feynman lectures on physics, vol 3. Addison-Wesley, Reading, MA

    Google Scholar 

  • Fu L, Dai J (2009) A speech recognition based on quantum neural networks trained by IPSO. In: International conference on artificial intelligence and computational intelligence, vol 2, pp 477–481

  • Futuyma DJ (1998) Evolutionary biology, 3rd edn. Sinauer, Sunderland, MA

    Google Scholar 

  • Gao H, Diao M (2009) Quantum particle swarm optimization for MC-CDMA multiuser detection. In: International conference on artificial intelligence and computational intelligence, vol 2, pp 132–136

  • Gou X, Shu W (2008) A load balancing method for heterogeneous multiprocessor based on genetic immunity clone algorithm. In: 7th world congress on intelligent control and automation, pp 1285–1289

  • Gao J, Wang J (2011) A hybrid quantum-inspired immune algorithm for multi-objective optimization. Appl Math Comput 217: 4754–4770

    MATH  MathSciNet  Google Scholar 

  • Gao H, Xu G, Wang Z (2006) A novel quantum evolutionary algorithm and its application. In: The 6th world congress on intelligent control and automation, vol 1, pp 3638–3642

  • Gao H, Xu W, Gao T (2007) A cooperative approach to quantum-behaved particle swarm optimization. In: IEEE international symposium on intelligent signal processing, pp 1–6

  • Gao H, Xu G, Zhang R, Wang Z (2008) Real-coded quantum evolutionary algorithm. Control Decis 23: 87–90

    MathSciNet  Google Scholar 

  • Gao F, Gao H, Li Z, Tong H, Lee J (2009a) Detecting unstable periodic orbits of nonlinear mappings by a novel quantum-behaved particle swarm optimization non-Lyapunov way. Chaos Solitons Fractals 42: 2450–2463

    MATH  Google Scholar 

  • Gao Y, Gu Y, Li T (2009b) Evaluation approach on enterprise integrated business efficiency based on ANN-QPSO. In: International conference on information management, innovation management and industrial engineering, vol 3, pp 371–374

  • Gao K, Zhang Y, Liu Y, Chen X, Ni G (2010a) PSF estimation for Gaussian image blur using back-propagation quantum neural network. In: Proceedings of IEEE 10th international conference on signal processing. pp 1068–1073

  • Gao H, Xu W, Sun J, Tang Y (2010b) Multilevel thresholding for image segmentation through an improved quantum-behaved particle swarm algorithm. IEEE Trans Instrum Meas 59: 934–946

    Google Scholar 

  • Garavaglia SB (2002) A quantum-inspired self-organizing map. In: Proceedings of international joint conference on neural networks, vol 2, pp 1779–1784

  • Geravanchizadeh M, Asl L Badri (2010) Asexual reproduction-based adaptive quantum particle swarm optimization algorithm for dual-channel speech enhancement. In: 4th international symposium on communications, control and signal processing, pp 1–4

  • Ghavami B, Khosraviani M, Pedram H (2008) Power optimization of asynchronous circuits through simultaneous Vdd and Vth assignment and template sizing. In: Proceedings of 11th Euromicro conference on digital system design architectures, methods and tools, pp 274-281

  • Gong C, Zhang B, Li Y (2009) Resources scheduling of TT&C network based on quantum genetic algorithm. In: Proceeding of 5th international conference on wireless communications, networking and mobile computing, pp 1–4

  • Grover LK (1996) A fast quantum mechanical algorithm for database search. In: Proceedings of 28th annual ACM symposium on theory of computation. ACM Press, pp 212–219

  • Gu J, Gu X, Jiao B (2008) A quantum genetic based scheduling algorithm for stochastic flow shop scheduling problem with random breakdown, In: Proceeding of 17th international federation of automatic control world congress, pp 63–68

  • Gu J, Gu X, Jiao B (2008) Solving stochastic earliness and tardiness parallel machine scheduling using quantum genetic algorithm, In: Proceedings of 7th world congress on intelligent control and automation, pp 4148–4159

  • Gu J, Gu X, Gu M (2009) A novel parallel quantum genetic algorithm for stochastic job shop scheduling. J Math Anal Appl 355: 63–81

    MATH  MathSciNet  Google Scholar 

  • Gu J, Gu M, Cao C, Gu X (2010) A novel competitive co-evolutionary quantum genetic algorithm for stochastic job shop scheduling problem. Comput Oper Res 37: 927–937

    MATH  MathSciNet  Google Scholar 

  • Guowei C, Ning L, Deyou Y (2010) The transformer fault diagnosis based on quantum neural network. In: International conference on computer, mechatronics, control and electronic engineering, vol 4. pp 396–400

  • Gupta S, Zia RKP (2002) Quatum neural network. http://xxx.lanl.gov/quant-ph/0201144

  • Haiyan G (2005) Quantum genetic algorithm based on chaotic optimization. J Southwest Univ Sci Technol 20: 1–4

    Google Scholar 

  • Hamed H, Kasabov N, Michlovský Z, Shamsuddin S (2009a) String pattern recognition using evolving spiking neural networks and quantum inspired particle swarm optimization, Part II, LNCS, vol 5864. Springer, Berlin, pp 611–619

    Google Scholar 

  • Hamed H, Kasabov N, Shamsuddin S (2009b) Integrated feature selection and parameter optimization for evolving spiking neural networks using quantum inspired particle swarm optimization. In: International conference of soft computing and pattern recognition, pp 695–698

  • Han K (2003) Quantum-inspired evolutionary algorithm. PhD thesis, Department of Electrical Engineering and Computer Science, Korea Advanced Institute of Science and Technology, Daejeon, Korea

  • Han KH, Kim JH (2000) Genetic quantum algorithm and its application to combinatorial optimization problem. In: Proceedings of congress of evolutionary computation, vol 2, pp 1354–1360

  • Han K, Kim J (2001) Analysis of quantum-inspired evolutionary algorithm. In: Proceedings of 2001 international conference on artificial intelligence, vol 2, pp 727–730

  • Han KH, Kim JH (2002a) Quantum inspired evolutionary algorithm for a class of combinatorial optimization. IEEE Trans Evolut Comput 6: 580–593

    Google Scholar 

  • Han K, Kim J (2002b) Introduction of quantum-inspired evolutionary algorithm. In: Proceedings of 2002 FIRA robot world congress, pp 243–248

  • Han K, Kim J (2003a) On setting the parameters of QEA for practical applications: some guidelines based on empirical evidence. In: Cantu-Paz E, Foster J, Deb K, Davis L, Roy R, OaReilly U-M, Beyer H-G, Standish R, Kendall G, Wilson S, Harman M, Wegener J, Dasgupta D, Potter M, Schultz A, Dowsland K, Jonoska N, Miller J (eds) Genetic and evolutionary computation, LNCS, vol 2723. Springer, Berlin, pp 427–428

    Google Scholar 

  • Han K, Kim J (2003b) On setting the parameters of quantum-inspired evolutionary algorithm for practical applications. In: Proceedings of 2003 IEEE congress on evolutionary computation, vol 1, pp 178–184

  • Han K, Kim J (2004) Quantum-inspired evolutionary algorithms with a new termination criterion, H 2 gate, and two phase scheme. IEEE Trans Evolut Comput 8: 156–169

    Google Scholar 

  • Han K, Kim J (2006) On the analysis of the quantum-inspired evolutionary algorithm with a single individual. In: Proceedings of 2006 IEEE congress on evolutionary computation. IEEE Press, pp 2622–2629

  • Han KH, Park KH, Lee CH, Kim JH (2001) Parallel quantum-inspired genetic algorithm for combinatorial optimization problem. In: Proceedings of 2001 congress on evolutionary computation, vol 2, pp 1422–1429

  • Hannachi MS, Hirota K (2005) Fuzzy set representation of quantum logic (1-valued) automata. In: International symposium on computational intelligence and intelligent informatics, pp 14–16

  • Hannachi MS, Dong F, Hatakeyama Y, Hirota K (2007a) On the use of fuzzy logic for inherently parallel computations. In: International symposium on computational intelligence and intelligent informatics, pp 89–92

  • Hannachi MS, Hatakeyama Y, Hirota K (2007b) Emulating qubits with fuzzy logic. Int J Comput Intell Intell Inform 2: 242–249

    Google Scholar 

  • Hannachi MS, Dong F, Hirota K (2007c) Emulating quantum interference and quantum associative memory using fuzzy qubits. In: IEEE international conference on computational cybernetics, pp 39–45

  • Haykin S (1999) Neural network: a comprehensive foundation, 2nd edn. Prentice Hall, Upper Saddle River, NJ

    MATH  Google Scholar 

  • He Z, Zhao J, Yang J, Gao W (2009) A new power system fault diagnosis method based on rough set theory and quantum neural network. In: Asia-Pacific power and energy engineering conference, pp 1–4

  • He J, Ye C, Xu F, Ye L, Huang H (2010) Solve job-shop scheduling problem based on cooperative optimization. In: International conference on E-business and E-government, pp 2599–2602

  • Hey T (1999) Quantum computing: an introduction. Comput Control Eng J 10: 105–112

    Google Scholar 

  • Hinton GE, Osindero S, Teh Y-W (2006) A fast learning algorithm for deep belief nets. Neural Comput 18: 1527–1554

    MATH  MathSciNet  Google Scholar 

  • Hirvensalo M (2004) Quantum computing, 2nd edn. Springer, Berlin

    MATH  Google Scholar 

  • Holland J (1975) Adaptation in natural and artificial systems. University of Michigan Press, Ann Arbor

    Google Scholar 

  • Horn D, Axel I (2003) Novel clustering algorithm for microarray expression data in a truncated SVD space. Bioinformatics 19: 1110–1115

    Google Scholar 

  • Horn D, Gottlieb A (2001) Algorithm for data clustering in pattern recognition problems based on quantum mechanics. Phys Rev Lett 88: 018702

    Google Scholar 

  • Hossain MA, Hossain MK, Hashem M (2009) Hybrid real-coded quantum evolutionary algorithm based on particle swarm theory. In: 12th international conference on computers and information technology, pp 13–18

  • Hossain MA, Hossain MK, Hashem M, Ali M (2010) Quantum evolutionary algorithm based on particle swarm theory in multi-objective problems. In: 13th international conference on computer and information technology, pp 21–26

  • Hou Y, Zheng X (2010) Quantum growing hierarchical self organized map-based intrusion detection system. In: International conference on system science, engineering design and manufacturing informatization, vol 2, pp 110–115

  • Hou Y, Du J, Wang M (2007) Neural networks. XiDian University Press, XiDian

    Google Scholar 

  • Hu S (2004) Quantum neural network for image watermarking. In: Yin FL, Wang J, Guo C (eds) Advances in neural networks, LNCS, vol 3174. Springer, Berlin, pp 669–674

    Google Scholar 

  • Hu F, Wu B (2009) Quantum evolutionary algorithm for vehicle routing problem with simultaneous delivery and pickup. In: Proceedings of the 48th IEEE conference on decision and control, pp 5097–5101

  • Huang Y, Wang S (2008) Multilevel thresholding methods for image segmentation with otsu based on QPSO. In: Proceedings of 2008 congress on image and signal processing, vol 3, pp 701–705

  • Huang X, Zhang F (2009) Morphological pyramid multi-modal medical image registration based on QPSO. In: International Asia symposium on intelligent interaction and affective computing, pp 67–70

  • Huang J, Sun J, Xu W, Hongwei D (2006) Study on layout problem using quantum-behaved particle swarm optimization algorithm. J Comput Appl 12: 3015–3018

    Google Scholar 

  • Huang Y, Tang C, Wang S (2007) Quantum-inspired swarm evolution algorithm. In: International conference on computational intelligence and security workshops, pp 208–211

  • Huang Y, Qu L, Tian Y (2008) Self-tuning PID controller based on quantum swarm evolution algorithm. In: 4th international conference on natural computation, vol 6, pp 401–404

  • Huang C, Huang H, Chen Y, Hwang R (2009a) An AI system for the decision to control parameters of TP film printing. Expert Syst Appl 36: 9580–9583

    Google Scholar 

  • Huang Z, Wang Y, Yang C, Wu C (2009b) A new improved quantum-behaved particle swarm optimization model. In: IEEE conference on industrial electronics and applications, pp 1560–1564

  • Igelnik B, Tabib-Azar M, Pao Y-H, LeClair SR (1999) A quantum neural net: with applications to materials science. In: Proceedings of 2nd international conference on intelligent processing and manufacturing of materials, vol 1, pp 367–374

  • Igelnik B, Pao Y-H (1995) Stochastic choice of basis functions in adaptive function approximation and the functional-link net. IEEE Trans Neural Netw 6: 1320–1329

    Google Scholar 

  • Igelnik B, Pao Y-H, LeClair SR, Shen C-Y (1999) The ensemble approach to neural network learning and generalization. IEEE Trans Neural Netw 10: 19–30

    Google Scholar 

  • Igelnik B, Tabib-Azar M, LeClair SR (2001) A net with complex weights. IEEE Trans Neural Netw 12: 236–249

    Google Scholar 

  • Izadinia H, Ebadzadeh MM (2009)Quantum-inspired evolution strategy. In: International conference of soft computing and pattern recognition, pp 724–727

  • Jalilzadeh S, Shayeghi H, Safari A, Masoomi D (2009) Output feedback UPFC controller design by using Quantum Particle Swarm Optimization. In: 6th international conference on electrical engineering/ electronics, computer, telecommunications and information technology, pp 28–31

  • Jang J, Han K, Kim J (2003) Quantum-inspired evolutionary algorithm-based face verification. In: Cantu-Paz E, Foster J, Deb K, Davis L, Roy R, OaReilly U-M, Beyer H-G, Standish R, Kendall G, Wilson S, Harman M, Wegener J, Dasgupta D, Potter M, Schultz A, Dowsland K, Jonoska N, Miller J (eds) Proceedings of 2003 international conference on genetic and evolutionary computation: Part II, LNCS, vol 2724. Springer, Berlin, pp 2147–2156

    Google Scholar 

  • Jang J, Han K, Kim J (2004a) Evolutionary algorithm-based face verification. Pattern Recognit Lett 25: 1857–1865

    Google Scholar 

  • Jang J, Han K, Kim J (2004b) Face detection using quantum-inspired evolutionary algorithm. In: Proceedings of the IEEE congress on evolutionary computation, pp 2100–2106

  • Jankowski S, Lozowski A, Zurada JM (1996) Complex-valued multistate neural associative memory. IEEE Trans Neural Netw 7: 1491–1496

    Google Scholar 

  • Jeong Y, Park J, Shin J, Lee K (2009a) A thermal unit commitment approach using an improved quantum evolutionary algorithm. Electr Pow Compon Syst 37: 770–786

    Google Scholar 

  • Jeong Y, Park J, Jang S, Lee KY (2009b) A new quantum-inspired binary PSO for thermal unit commitment problems. In: 15th international conference on intelligent system applications to power systems, pp 1–6

  • Jeong Y, Park J, Jang S, Lee KY (2010) A new quantum-inspired binary PSO: application to unit commitment problems for power systems. IEEE Trans Pow Syst 25: 1486–1495

    Google Scholar 

  • Jiao L, Li Y (2005) Quantum-inspired immune clonal optimization. In: IEEE international conference on neural networks and brain, pp 461–466

  • Jiao B, Li F (2010) An improved cooperative quantum particle swarm optimization algorithm for function optimization. In: International conference on intelligent computation technology and automation, pp 531–535

  • Jiao L, Li Y, Gong M, Zhang X (2008) Quantum-inspired immune clonal algorithm for global optimization. IEEE Trans Syst Man Cybernet Part B 38: 1234–1253

    Google Scholar 

  • Jiao B, Gu X, Gu J (2009) An improved quantum differential algorithm for stochastic flow shop scheduling problem. In: IEEE international conference on control and automation, pp 1235–1240

  • Kak S (1995) On quantum neural computing. Inf Sci 83: 143–160

    Google Scholar 

  • Karayiannis NB, Purushothaman G (1994) Fuzzy pattern classification using feed forward neural networks with multilevel hidden neurons. In: IEEE international conference on neural networks, vol 3. pp 127–132

  • Karayiannis NB, Xiong Y (2005) Training reformulated radial basis function neural networks capable of identifying uncertainty in the recognition of videotaped neonatal seizures. In: Proceedings of IEEE symposium on computational intelligence in bioinformatics and computational biology. pp 1–8

  • Karayiannis NB, Xiong Y (2006) Training reformulated radial basis function neural networks capable of identifying uncertainty in data classification. IEEE Trans Neural Netw 17: 1222–1229

    Google Scholar 

  • Karayiannis NB, Kretzschmar R, Richner H (2001) Pattern classification based on quantum neural networks: a case study. In: Pal SK, Pal A (eds) Pattern recognition: from classical to modern approaches. World Scientific, Singapore, pp 301–328

    Google Scholar 

  • Karayiannis NB, Mukherjee A, Glover JR, Ktonas PY, Frost JD Jr., Hrachovy RA, Mizrahi EM (2004) Quantifying and visualizing uncertainty in EEG data of neonatal seizures. In: Proceedings of 26th annual international conference of the IEEE EMBS, vol 1. pp 423–426

  • Karayiannis NB, Mukherjee A, Glover JR, Frost JD Jr., Hrachovy RA, Mizrahi EM (2006a) An evaluation of quantum neural networks in the detection of epileptic seizures in the neonatal electroencephalogram. Soft Comput J 10: 382–396

    Google Scholar 

  • Karayiannis NB, Tao G, Frost JD Jr, Wise MS, Hrachovy RA, Mizrahi EM (2006b) Automated detection of videotaped neonatal seizures based on motion segmentation methods. Clin Neurophysiol 117: 1585–1594

    Google Scholar 

  • Kasabov N (2007a) Brain-, gene-, and quantum inspired computational intelligence: challenges and opportunities. In: Duch W, Mandziuk J (eds) Challenges for computational intelligence, SCI. Springer, Berlin, pp 193–219

    Google Scholar 

  • Kasabov N (2007b) Evolving connectionist systems: the knowledge engineering approach, 2nd edn. Springer, London

    Google Scholar 

  • Kasabov N (2009) Integrative connectionist learning systems inspired by nature: current models, future trends and challenges. Nat Comput 8: 199–218

    MATH  MathSciNet  Google Scholar 

  • Kasabov N (2010) To spike or not to spike: a probabilistic spiking neuron model. Neural Netw 23: 16–19

    Google Scholar 

  • Kasabov N (2010) Integrative probabilistic evolving spiking neural networks utilising quantum inspired evolutionary algorithm: a computational framework. In: Koronacki J, Ras Z, Wierzchon S, Kacprzyk J (eds) Advances in machine learning II, vol 263. Springer, Berlin, pp 415–425

    Google Scholar 

  • Kaye P, Laflamme R, Mosca M (2007) An introduction to quantum computing. Oxford University Press, USA

    MATH  Google Scholar 

  • Kennedy J, Eberhart R (1997) A discrete binary version of the panicle swarm algorithm. In: IEEE international conference on systems, man, and cybernetics, vol 5, pp 4104–4109

  • Khorsand A, Akbarzadeh M (2005) Quantum gate optimization in a meta-level genetic quantum algorithm. In: IEEE international conference on systems, man and cybernetics, pp 3055–3062

  • Kim Y, Kim J (2009) Multiobjective quantum-inspired evolutionary algorithm for fuzzy path planning of mobile robot. In: Proceedings of the 11th conference on congress on evolutionary computation, pp 1185–1192

  • Kim S, Kwak K (2010) Development of quantum- based adaptive neuro-fuzzy networks. IEEE Trans Syst Man Cybernet Part B Cybernet 40: 91–100

    Google Scholar 

  • Kim J, Han J, Kim Y, Choi S, Kim E (2011) Preference-based solution selection algorithm for evolutionary multi-objective optimization. IEEE Trans Evolut Comput 16: 20–34

    Google Scholar 

  • Kim Y, Kim J, Han K (2006) Quantum-inspired multiobjective evolutionary algorithm for multiobjective 0/1 knapsack problems. In: Proceedings of the 2006 IEEE congress on evolutionary computation. IEEE Press, pp 2601–2606

  • Kima K, Hwang J, Han K, Kim J, Park K-H (2003) A quantum-inspired evolutionary computing algorithm for disk allocation method. IEICE Trans Inf Syst E86-D: 645–649

    Google Scholar 

  • Kinjo M, Sato S, Nakajima K (2003) Quantum adiabatic evolution algorithm for a quantum neural network. In: Kaynak O, Alpaydin E, Oja E, Xu L (eds) Artificial neural networks and neural information processing. Springer, Berlin, pp 951–958

    Google Scholar 

  • Kinjo M, Sato S, Nakamiya Y, Nakajima K (2005) Neuromorphic quantum computation with energy dissipation. Phys Rev A 72: 052328

    Google Scholar 

  • Kinjo M, Sato S, Nakajima K (2006) A study on learning with a quantum neural network. In: International joint conference on neural networks, pp 203–206

  • Kinjo M, Sato S, Nakajima K (2008) Energy dissipation effect on a quantum neural network. In: Ishikawa M, Doya K, Miyamoto H, Yamakawa T (eds) Neural information processing, LNCS, vol 4985. Springer, Berlin, pp 730–737

    Google Scholar 

  • Klusch M (2004) Toward quantum computational agents. In: Nickles M, Rovatsos M, Weiss G (eds) Autonomy 2003 (LNAI), LNCS, vol 2969. Springer, Heidelberg

    Google Scholar 

  • Kong X, Sun J, Ye B, Xu W (2007) An efficient quantum-behaved particle swarm optimization for multiprocessor scheduling. In: Shi Y, Albada G, Dongarra J, Sloot P (eds) Computational science, LNCS, vol 4487. Springer, Berlin, pp 278–285

    Google Scholar 

  • Kouda N, Matsui N, Nishimura H (2000) Learning performance of neuron model based on quantum superposition. In: Proceedings of IEEE international workshop on robot and human interactive communication. pp 112–117

  • Kouda N, Matsui N, Nishimura H (2002a) Image compression by layered quantum neural networks. Neural Process Lett 16: 67–80

    MATH  Google Scholar 

  • Kouda N, Matsui N, Nishimura H (2002b) Control for swing-up of an inverted pendulum using qubit neural network. In: SICE annual conference, vol 2. pp 805–810

  • Kouda N, Matsui N, Nishimura H, Peper F (2003) Qubit neural network and its efficiency. In: Palade V, Howlett R, Jain L (eds) Knowledge-based intelligent information and engineering systems, LNCS, vol 2774. Springer, Berlin, pp 304–310

  • Kouda N, Matsui N, Nishimura H (2004) A multi-layered feed-forward network based on qubit neuron model. Syst Comput Jpn 35: 43–51

    Google Scholar 

  • Kouda N, Matsui N, Nishimura H, Peper F (2005a) Qubit neural network and its learning efficiency. Neural Comput Appl 14: 114–121

    Google Scholar 

  • Kouda N, Matsui N, Nishimura H, Peper F (2005b) An examination of qubit neural network in controlling an inverted pendulum. Neural Process Lett 22: 277–290

    Google Scholar 

  • Kreinovich V, Kohout LJ, Kim E (2008) Square root of “Not”: a major difference between fuzzy and quantum logics. In: Annual meeting of the North American fuzzy information processing society, pp 1–5

  • Kumar N, Behera L (2004) Visual-motor coordination using a quantum clustering based neural control scheme. Neural Process Lett 20: 11–22

    Google Scholar 

  • Lau T, Chung CY, Wong K, Chung T, Ho S (2009) Quantum-inspired evolutionary algorithm approach for unit commitment. IEEE Trans Pow Syst 24: 1503–1512

    Google Scholar 

  • Layeb A, Saidouni D-E (2009) Quantum differential evolution algorithm for variable ordering problem of binary decision diagram. In: Sarbazi-Azad H, Parhami B, Miremadi S-G, Hessabi S (eds) Advances in computer science and engineering, vol 6. Springer, Berlin, pp 942–945

    Google Scholar 

  • Layeb A, Meshoul S, Batouche M (2006) Multiple sequence alignment by quantum genetic algorithm. In: Proceedings of 20th international conference on parallel and distributed processing, p 8

  • Layeb A, Meshoul S, Batouche M (2008) Quantum genetic algorithm for multiple RNA structural alignment. In: Proceedings of 2nd Asia international conference on modeling & simulation, pp 873–878

  • Lebensztajn L, Coelho L (2010) A multiobjective Gaussian quantum-inspired particle swarm approach applied to electromagnetic optimization. In: 14th Biennial IEEE conference on electromagnetic field computation, p 1

  • Lee DL (2001) Relaxation of the stability condition of the complex-valued neural networks. IEEE Trans Neural Netw 12: 1260–1262

    Google Scholar 

  • Lee C, Chen Y, Huang H, Hwang R-C, Yu G-R (2004) The non-stationary signal prediction by using quantum NN. In: IEEE international conference on systems, man and cybernetics, vol 4, pp 3291–3295

  • Lee J, Lin W, Liao G, Tsao T (2011) Quantum genetic algorithm for dynamic economic dispatch with valve-point effects and including wind power system. Int J Electr Power Energy Syst 33: 189–197

    Google Scholar 

  • Lei B, Fan J (2008) Parameter selection of generalized fuzzy entropy-based thresholding method with quantum-behavior particle swarm optimization. In: International conference on audio, language and image processing, pp 546–551

  • Lei X, Fu A (2008) Two-dimensional maximum entropy image segmentation method based on quantum-behaved particle swarm optimization algorithm. In: 4th International conference on natural computation, pp 692–696

  • Li W (2000) Entangled neural networks. http://www.cic.unb.br/~weifang/qc/enn2000.pdf

  • Li S, Ge Z (2011) Fuzzy modeling and synchronization of two totally different chaotic systems via novel fuzzy model. IEEE Trans Syst Man Cybernet Part B Cybernet 41: 1015–1026

    MathSciNet  Google Scholar 

  • Li Y, Jiao L (2005) Quantum-inspired immune clonal algorithm. In: 4th International conference on artificial immune systems, pp 304–317

  • Li Y, Jiao L (2007) Quantum-inspired immune clonal multiobjective optimization algorithm. In: Zhou Z-H, Li H, Yang Q (eds) Advances in knowledge discovery and data mining, LNCS, vol 4426. Springer, Berlin, pp 672–679

    Google Scholar 

  • Li S, Li P (2008a) Quantum genetic algorithm based on real encoding and gradient information of object function. J Harbin Inst Technol 38: 1216–1218

    Google Scholar 

  • Li P, Li S (2008b) Quantum-inspired evolutionary algorithm for continuous space optimization based on Bloch coordinates of qubits. Neurocomputing 72: 581–591

    Google Scholar 

  • Li H, Li M (2010) A new method of image compression based on quantum neural network. In: International conference of information science and management engineering, vol 1, pp 567–570

  • Li Z, Rudolph G (2007) A framework of quantum-inspired multi-objective evolutionary algorithms and its convergence condition. In: Proceedings of genetic and evolutionary computation conference, pp 908–908

  • Li B, Wang L (2006) A hybrid quantum-inspired genetic algorithm for multi-objective scheduling. In: Huang D-S, Li K, Irwin G (eds) Intelligent computing, LNCS, vol 4113. Springer, Berlin, pp 511–522

    Google Scholar 

  • Li B, Wang L (2007a) A hybrid quantum-inspired genetic algorithm for multiobjective flow shop scheduling. IEEE Trans Syst Man Cybernet Part B Cybernet 37: 576–591

    Google Scholar 

  • Li Z, Wang S (2007b) Quantum theory: the unified framework for FCM and QC algorithm. In: Proceedings of 2007 international conference on wavelet analysis and pattern recognition, vol 3, pp 1045–1048

  • Li F, Xu G (2009) Quantum BP neural network for speech enhancement. In: Asia-pacific conference on computational intelligence and industrial applications, vol 2, pp 389–392

  • Li F, Zheng B (2003) A study of quantum neural networks. In: Proceedings of international conference on neural networks and signal processing, vol 1. pp 539–542

  • Li F, Zhao S, Zheng B (2002) Quantum neural network in speech recognition. In: Proceedings of ICSP’02, vol 2. pp 1267–1270

  • Li B, Yang J, Zhuang Z (2003a) GAQPR and its application in discovering frequent structures in time series. In: IEEE International conference on neural networks & signal processing vol 1, pp 399–403

  • Li Y, Zhang Y, Zhao R, Jiao L (2003b) A new method for edge detection. In: International conference on machine learning and cybernetics, vol 3, pp 1780–1784

  • Li F, Dong X, Zhao S, Zheng B (2004a) A learning algorithm for quantum neuron. In: Proceedings of international conference on signal processing, vol 2. pp 1538–1541

  • Li Y, Jiao L, Liu F (2004b) Self-adaptive chaos quantum clonal evolutionary programming. In: Proceedings of 7th international conference on signal processing, vol 2, pp 1550–1553

  • Li Y, Zhang Y, Zhao R, Jiao L (2004c) The immune quantum-inspired evolutionary algorithm. In: IEEE international conference on systems, man and cybernetics, vol 4, pp 3301–3305

  • Li Y, Zhang Y, Zhao R, Jiao L (2004d) An edge detector based on parallel quantum-inspired evolutionary algorithm. In: International conference on machine learning and cybernetics, vol 7, pp 4062–4066

  • Li F, Zhao S, Zheng B (2005a) Feedback quantum neuron and its application. In: Proceedings of the international conference on neural networks and brain, vol 2. pp 867–871

  • Li F, Zhao S, Zheng B (2005b) Quantum neural network for CDMA multi-user detection. In: Wang J, Liao X-F, Yi Z (eds) Advances in neural networks, LNCS, vol 3498. Springer, Berlin, pp 338–342

  • Li N, Du P, Zhao H (2005c) Independent component analysis based on improved quantum genetic algorithm: application in hyperspectral images. In: Proceedings of IEEE international geoscience and remote sensing symposium, pp 4323–4326

  • Li Y, Zhao R, Zhang Y, Jiao L (2005d) Novel quantum-inspired genetic algorithm based on immunity. J Electron (China) 22: 371–378

    Google Scholar 

  • Li F, Xie C, Dong X, Zheng B (2006a) Feedback quantum neuron for multiuser detection. In: Proceedings of international joint conference on neural networks, pp 2967–2971

  • Li S, Okada T, Chen X, Tang Z (2006b) An individual adaptive gain parameter back propagation algorithm for complex-valued neural networks. In: Wang J, Yi Z, Zurada J, Lu B-L, Yin H (eds) Advances in neural networks, LNCS, vol 3971. Springer, Berlin, pp 551–557

  • Li Z, Li Z, Rudolph G (2007a) On the convergence properties of quantum-inspiredmulti-objective evolutionary algorithms. In: De-Shuang Huang LH, Loog M (eds) Advanced intelligent computing theories and applications. With aspects of contemporary intelligent computing techniques, vol 2. Springer, Berlin, pp 245–255

    Google Scholar 

  • Li S, Wang R, Hu W, Sun J (2007b) A new QPSO based BP neural network for face detection. In: Cao B-Y (ed) Fuzzy information and engineering, vol 40. Springer, Berlin, pp 355–363

    Google Scholar 

  • Li X, Cheng C-T, Wang W-C, Yang F-Y (2008a) A study on sunspot number time series prediction using quantum neural networks. In: International conference on genetic and evolutionary computing, pp 480–483

  • Li F, Hong L, Zheng B (2008b) Quantum genetic algorithm and its application to multi-user detection. In: Proceedings of 9th international conference on signal processing, pp 1951–1954

  • Li Z, Xu K, Liu S, Li K (2008c) Quantum multi-objective evolutionary algorithm with particle swarm optimization method. In: 4th international conference on natural computation, vol 3, pp 672–676

  • Li X, Hualong X, Zhaogang C (2008d) One improved discrete particle swarm optimization based on quantum evolution concept. Int Conf Intell Comput Technol Autom 1: 96–100

    Google Scholar 

  • Li Z, Rudolph G, Li K (2009a) Convergence performance comparison of quantum-inspired multi-objective evolutionary algorithms. Comput Math Appl 57: 1843–1854

    MATH  MathSciNet  Google Scholar 

  • Li Y, Zhao J, Jiao L, Wu Q (2009b) Quantum-inspired evolutionary multicast algorithm. In: Proceedings of the IEEE international conference on systems, man, and cybernetics, pp 1496–1501

  • Li R, Li W, Zhang L, Li M (2009c) An improved quantum-behaved particle swarm classifier based on weighted mean best position. In: IEEE international conference on intelligent computing and intelligent systems, vol 4, pp 327–331

  • Li X, Zhou L, Liu C (2009d) Model selection of least squares support vector regression using quantum-behaved particle swarm optimization algorithm. In: International workshop on intelligent systems and applications, pp 1–5

  • Li F, Wang W, Zheng B (2010a) A novel detection scheme with quantum genetic algorithm in MIMO-OFDM systems. In: International conference on intelligent control and information processing, pp 439–442

  • Li P, Song K, Yang E (2010b) Quantum genetic algorithm and its application to designing fuzzy neural controller. In: 6th international conference on natural computation, pp 2994–2998

  • Li S, Zhao D, Zhang X, Wang C (2010c) Reactive power optimization based on an improved quantum discrete PSO algorithm. In: 5th international conference on critical infrastructure, pp 1–5

  • Li Y, Wu N, Ma J, Jiao L (2010d) Quantum-inspired immune clonal clustering algorithm based on watershed. In: IEEE congress on evolutionary computation, pp 1–7

  • Li H, Zhang Y, Wang A (2010e) Medical image registration based on JS measure and niche chaotic mutation quantum-behaved particle swarm optimization. In: 6th international conference on wireless communications networking and mobile computing, pp 1–4

  • Li Y, Jin Y, Wang G (2010f) An optimized quantum particle swarm algorithm based on the D-dimensional hyper-chaotic discrete system equation. In: International conference on computer application and system modeling, vol 13, pp V13-471–V13-474

  • Li C, Ding Y, Xu W (2010g) Multiple-layer quantum-behaved particle swarm optimization and toy model for protein structure prediction. In: 9th international symposium on distributed computing and applications to business engineering and science, pp 92–96

  • Li C, Long H, Ding Y, Sun J, Xu W (2010h) Multiple sequence alignment by improved hidden Markov model training and quantum-behaved particle swarm optimization. In: Li K, Jia L, Sun X, Fei M, Irwin G (eds) Life System modeling and intelligent computing, LNCS, vol 6330. Springer, Berlin, pp 358–366

    Google Scholar 

  • Li W, Yin Q, Cao J, Li L (2010i) The optimization calculation and analysis of energy-saving motor used in beam pcumping unit based on continuous quantum particle swarm optimization. In: International conference on power system technology, pp 1–8

  • Li W, Yin Q, Zhang X (2010j) Calculation and analysis of electromagnetic in an induction motor based on continuous quantum ant colony optimization. In: 14th Biennial IEEE conference on electromagnetic field computation, p 1

  • Li W, Yin Q, Zhang X (2010k) Continuous quantum ant colony optimization and its application to optimization and analysis of induction motor structure. In: IEEE 5th international conference on bio-inspired computing: theories and applications, pp 313–317

  • Li P, Song K, Yang E (2010l) Quantum ant colony optimization with application. In: 6th International conference on natural computation, vol 6, pp 2989–2993

  • Liao G (2010) Using chaotic quantum genetic algorithm solving environmental economic dispatch of smart microgrid containing distributed generation system problems. In: International conference on power system technology, pp 1–7

  • Liao G (2011) A novel evolutionary algorithm for dynamic economic dispatch with energy saving and emission reduction in power system integrated wind power. Energy 36: 1018–1029

    Google Scholar 

  • Liao R, Wang X, Qin Z (2010) A novel quantum-inspired genetic algorithm with expanded solution space. In: 2nd international conference on intelligent human-machine systems and cybernetics, vol 2, pp. 192–195

  • Litvintseva L, Ulyanov S (2009) Intelligent control systems. I. Quantum computing and self-organization algorithm. J Comput Syst Sci Int 48: 946–984

    MATH  Google Scholar 

  • Litvintseva L, Ulyanov S, Takahashi K, Hagiwara T (2006a) Design of self-organized robust wise control systems based on quantum fuzzy inference. In: World automation congress, pp 1–7

  • Litvintseva L, Ulyanov S, Ulyanov S (2006b) Design of robust knowledge bases of fuzzy controllers for intelligent control of substantially nonlinear dynamic systems: II. A soft computing optimizer and robustness of intelligent control systems. J Comput Syst Sci Int 45: 744–771

    MATH  Google Scholar 

  • Lin J, Cheng J (2005) Adaptive fuzzy identification of nonlinear dynamical systems based on quantum mechanics. In: IEEE international conference on information reuse and integration, pp 380–385

  • Lin C, Chen C, Lee C (2004) A self-adaptive quantum radial basis function network for classification applications. In: Proceedings of international joint conference on neural networks, vol 4, pp 3263–3268

  • Lin C, Chung I, Chen C (2007) An entropy-based quantum neuro-fuzzy inference system for classification applications. Neurocomputing 70: 2502–2516

    Google Scholar 

  • Lin H, Maolong X, Yanghua Z (2010) An improved quantum-behaved particle swarm optimization with random selection of the optimal individual. In: WASE international conference on information engineering, vol 4, pp 189–193

  • Liu H (2009a) A discrete quantum-behaved PSO and its multiuser detection application. In: IEEE international conference on intelligent computing and intelligent systems, vol 3, pp 566–569

  • Liu H (2009b) A QPSO based multiuser detection for antenna-diversity-aided MC-CDMA systems. In: 2nd international symposium on computational intelligence and design, vol 2, pp 477–480

  • Liu F, Li Y (2003) Quantum clonal evolutionary algorithms. Acta Electronica Sinica 31: 2066–2069

    Google Scholar 

  • Liu L, Liu Y (2009) MQPSO based on wavelet neural network for network anomaly detection hybrid artificial bee colony optimization and quantum evolutionary algorithm for continuous optimization problems. In: 5th international conference on wireless communications, networking and mobile computing, pp 1–5

  • Liu Y, Ma Y (2008) A new parallel algorithm of adaptive QPSO to solve constrained optimization problems. In: 2nd international conference on genetic and evolutionary computing, pp 451–454

  • Liu H, Song G (2009) A multiuser detection based on quantum PSO with pareto optimality for STBC-MC-CDMA system. In: IEEE international conference on communications technology and applications, pp 652–655

  • Liu S, You X (2009) Self-organizing quantum evolutionary algorithm based on quantum dynamic mechanism. In: Deng H, Wang L, Wang F, Lei J (eds) Artificial intelligence and computational intelligence, LNCS, vol 5855. Springer, Berlin, pp 69–77

    Google Scholar 

  • Liu Z, Zhou L (2009) A quantum-inspired hybrid evolutionary method. In: Proceedings of the 8th WSEAS international conference on applied computer and applied computational science, pp 422–425

  • Liu J, Xu W, Sun J (2005) Quantum-behaved particle swarm optimization with mutation operator. In: 17th IEEE international conference on tools with artificial intelligence, p 240

  • Liu M, Yuan C, Li T, Wu H (2006a) Radiation pattern synthesis for adaptive antenna arrays using improved quantum genetic algorithm. In: Proceedings of 7th international symposium on antennas, propagation and EM theory, pp 1–4

  • Liu F, Li S, Liang M, Hu L (2006b) Wideband signal DOA estimation based on modified quantum genetic algorithm. IEICE Trans Fundam Electron Commun Comput Sci 89: 648–653

    Google Scholar 

  • Liu J, Sun J, Xu W (2006c) Quantum-behaved particle swarm optimization for integer programming. In: King I, Wang J, Chan LW, Wang D (eds) Neural information processing, LNCS, vol 4233. Springer, Berlin, pp 1042–1050

    Google Scholar 

  • Liu J, Sun J, Xu W (2006d) Improving quantum-behaved particle swarm optimization by simulated annealing. In: Huang D-S, Li K, Irwin G (eds) Computational intelligence and bioinformatics, LNCS, vol 4115. Springer, Berlin, pp 130–136

    Google Scholar 

  • Liu J, Sun J, Xu W (2006e) Quantum-behaved particle swarm optimization with adaptive mutation operator. In: Jiao L, Wang L, Gao X, Liu J, Wu F (eds) Advances in natural computation, LNCS, vol 4221. Springer, Berlin, pp 959–967

    Google Scholar 

  • Liu J, Sun J, Xu W (2006f) Quantum-behaved particle swarm optimization with immune operator. In: Esposito F, Ras Z, Malerba D, Semeraro G (eds) Foundations of intelligent systems, LNCS, vol 4203. Springer, Berlin, pp 77–83

    Google Scholar 

  • Liu J, Sun J, Xu W, Kong X (2006g) Quantum-behaved particle swarm optimization based on immune memory and vaccination. In: IEEE international conference on granular computing, pp 453–456

  • Liu J, Xu W, Sun J (2006h) Nonlinear system identification of hammerstien and wiener model using swarm intelligence. In: IEEE international conference on information acquisition, pp 1219–1223

  • Liu Z, Bai Z, Shi J, Chen H (2007a) Image segmentation by using discrete tchebichef moments and quantum neural network. In: 3rd international conference on natural computation, vol 3. pp 137–140

  • Liu Z, Shi J, Bai Z (2007b) Image segmentation based on discrete krawtchouk moment and quantum neural network. In: 2nd IEEE conference on industrial electronics and applications, vol 23. pp 476–479

  • Liu M, Yuan C, Huang T (2007c) A novel real-coded quantum genetic algorithm in radiation pattern synthesis for smart antenna. In: Proceedings of 2007 IEEE international conference on robotics and biomimetics, pp 2023–2026

  • Liu H, Zhang G, Liu C, Fang C (2008a) A novel memetic algorithm based on real-observation Quantum-inspired evolutionary algorithms. In: 3rd international conference on intelligent system and knowledge engineering, vol 1, pp 486–490

  • Liu H, Xu S, Liang X (2008b) A modified quantum-behaved particle swarm optimization for constrained optimization. In: International symposium on intelligent information technology application workshops, pp 531–534

  • Liu L, Han P, Wang D (2009a) A multi-agent quantum evolutionary algorithm for multi-objective problem and it’s application on PID parameter tuning. In: Proceedings of international conference on sustainable power generation and supply, pp 1–5

  • Liu N, Xia K, Zhou J, Ge C (2009b) Numerical simulation on transistor with CQPSO algorithm. In: 4th IEEE conference on industrial electronics and applications, pp 3732–3736

  • Liu L, Sun J, Wang M, Du G, Chen J (2009c) Modeling and optimization of mixing performance for enhanced hyaluronic acid production by Streptococcus zooepidemicus using genetic programming coupling quantum-behaved particle swarm optimization algorithm. J Biosci Bioeng 108: S126

    Google Scholar 

  • Liu J, Wu Q, Zhu D (2009d) Thruster fault-tolerant for UUVs based on quantum-behaved particle swarm optimization. In: Chien B-C, Hong T-P (eds) Opportunities and challenges for next-generation applied intelligence, vol 214, SCI. Springer, Berlin, pp 159–165

    Google Scholar 

  • Liu L, Sun J, Zhang D, Du G, Chen J, Xu W (2009e) Culture conditions optimization of hyaluronic acid production by Streptococcus zooepidemicus based on radial basis function neural network and quantum-behaved particle swarm optimization algorithm. Enzym Microb Technol 44: 24–32

    Google Scholar 

  • Liu F, Liu Y, Hao H (2009f) Unsupervised SAR image segmentation based on quantum-inspired evolutionary gaussian mixture model. In: 2nd Asian-Pacific conference on synthetic aperture radar, pp 809–812

  • Liu C, Li D, Yang J (2010a) A novel method of mobile robot path planning based on quantum genetic algorithm. In: Chinese conference on pattern recognition, pp 1–5

  • Liu C, Wan M, Yang J (2010b) An improved quantum genetic algorithm and its application in path planning of mobile robots. In: International conference on computer application and system modeling, vol 7, pp V7-413–V7-417

  • Liu K, Zhu Z, Zhang J, Zhang Q, Shen A (2010c) Multi-parameter estimation of non-salient pole permanent magnet synchronous machines by using evolutionary algorithms. In: IEEE 5th international conference on bio-inspired computing: theories and applications, pp 766–774

  • Liu K, Peng L, Yang Q (2010d) The algorithm and application of quantum wavelet neural networks. In: Chinese control and decision conference, pp 2941–2945

  • Liu Z, Sun H, Hu H (2010e) Two sub-swarms quantum-behaved particle swarm optimization algorithm based on exchange strategy. In: 3rd international symposium on intelligent information technology and security informatics, pp 212–215

  • Liu F, Zhao J, Wang W, Zhang X (2010f) Optimization method of slab discharge decision model based on quantum-behaved discrete particle swarm. In: 8th world congress on intelligent control and automation, pp 4452–4457

  • Loo CK, Perus M, Bischof H (2004) Associative memory based image and object recognition by quantum holography. Open Syst Inf Dyn 11: 277–289

    MATH  MathSciNet  Google Scholar 

  • Lu Y, Liao Z, Chen W (2007) An automatic registration framework using quantum particle swarm optimization for remote sensing images. In: International conference on wavelet analysis and pattern recognition, pp 484–488

  • Lu K, Li H, Wang R (2010) Modeling and optimized controlling of fermentation process based on QPSO and LSSVM. In: 8th world congress on intelligent control and automation, pp 5653–5657

  • Lukac M, Perkowski M (2009) Quantum Finite State Machines as Sequential Quantum Circuits. In: 39th international symposium on multiple-valued logic, pp 92–97

  • Lu S, Sun C (2008a) Coevolutionary quantum-behaved particle swarm optimization with hybrid cooperative search. In: Pacific-Asia workshop on computational intelligence and industrial application, pp 109–113

  • Lu S, Sun C (2008b) Quantum-behaved particle swarm optimization with cooperative-competitive coevolutionary. In: International symposium on knowledge acquisition and modeling, pp 593–597

  • Lu K, Wang R (2008) Application of PSO and QPSO algorithm to estimate parameters from kinetic model of glutamic acid batch fermentation. In: 7th world congress on intelligent control and automation, pp 8968–8971

  • Lu P, Zhao A (2010) Fuzzy clustering with obstructed distance based on quantum-behaved particle swarm optimization. In: 2nd WRI global congress on intelligent systems, vol 1, pp 302–305

  • Lu K, Fang K, Xie G (2008) A hybrid quantum-behaved particle swarm optimization algorithm for clustering analysis. In: 5th international conference on fuzzy systems and knowledge discovery, pp 21–25

  • Lu K, Li H, Wang R (2010) Optimization of feeding rate for alcohol fermentation by quantum-behaved Particle Swarm Optimization. In: 8th world congress on intelligent control and automation, pp 4677–4680

  • Luo W (2010a) An efficient sensor-mission assignment algorithm based on dynamic alliance and quantum genetic algorithm in wireless sensor networks. In: International conference on intelligent computing and integrated systems, pp 854–857

  • Luo W (2010b) A quantum genetic algorithm based QoS routing protocol for wireless sensor networks. In: IEEE international conference on software engineering and service sciences, pp 37–40

  • Luo Y, Li L (2009) Chaos quantum-behaved particle swarm optimization algorithm with hybrid discrete variables. In: International conference on artificial intelligence and computational intelligence vol 1, pp 535–539

  • Luo Z, Zhang W, Li Y, Xiang M (2008a) SVM parameters tuning with quantum particles swarm optimization. In: IEEE conference on cybernetics and intelligent systems, pp 324–329

  • Luo Z, Ye B, Cai L, Zhang W (2008b) Fault diagnosis of power circuits based on SVM ensemble with quantum particles swarm optimization. In: 2nd international symposium on systems and control in aerospace and astronautics, pp 1–6

  • Luo Z, Xiang M, Zhang X (2008c) Multi-class wavelet SVM classifiers using quantum particles swarm optimization algorithm. In: International symposium on computational intelligence and design, pp 278–281

  • Luo Y, Che X, Liu Q (2009) Non-equidistant GM(1,1) model with optimizing modified nth component taken as the initial value and its application to line-drawing data processing. In: International conference on information engineering and computer science, pp 1–4

  • Luo J, Wu C, Hong W, Cheng Y, Xu S (2010) Research on scheduling of the RGV system based on QPSO. In: 8th IEEE international conference on control and automation, pp 1169–1174

  • Luitel B, Venayagamoorthy G (2008) Particle swarm optimization with quantum infusion for the design of digital filters. In: IEEE swarm intelligence symposium, pp 1–8

  • Luitel B, Venayagamoorthy G (2009) A PSO with quantum infusion algorithm for training simultaneous recurrent neural networks. In: International joint conference on neural networks, pp 3492–3499

  • Luitel B, Venayagamoorthy G (2010) Particle swarm optimization with quantum infusion for system identification. Eng Appl Artif Intell Adv Metaheuristics Hard Optim New Trends Case Stud 23: 635–649

    Google Scholar 

  • Luitel B, Venayagamoorthy G, Johnson C (2010) Enhanced wide area monitoring system. In: 1st conference on innovative smart grid technologies, pp 1–7

  • Luo Y, Li L (2010) Tuning PID control parameters on hydraulic servo control system based on chaos quantum-behaved particle swarm optimization algorithm. In: 2nd international conference on international conference on logistics systems and intelligent management, vol 3, pp 1861–1864

  • Lv Y (2009a) Multi-objective nutritional diet optimization based on quantum genetic algorithm. In: 5th international conference on natural computation, vol 4, pp 336–340

  • Lv Y (2009b) Combined quantum particle swarm optimization algorithm for multi-objective nutritional diet decision making. In: 2nd IEEE international conference on computer science and information technology, pp 279–282

  • Lv Y, Li D (2008) Improved quantum genetic algorithm and its application in nutritional diet optimization. In: Proceedings of 4th international conference on natural computation, pp 460–464

  • Lv Y, Liu N (2007) Application of quantum genetic algorithm on finding minimal reduct. In: Proceedings of IEEE international conference on granular computing, pp 728–733

  • Ma R, Liu Y, Lin X (2007) Hybrid QPSO based wavelet neural networks for network anomaly detection. In: 2nd workshop on digital media and its application in museum & heritage, pp 442–447

  • Ma R, Liu Y, Lin X, Wang Z (2008) Network anomaly detection using RBF neural network with hybrid QPSO. In: IEEE international conference on networking, sensing and control, pp 1284–1287

  • Ma Y, Liu Y, Yang D (2009) PQPSO algorithm in multi-stage portfolio optimization system. In: International workshop on intelligent systems and applications, pp 1–4

  • Ma Y, Liu Y, Yang D, Chen Y (2009) Improvement on parallel AQPSO using the best position, 2nd international workshop on knowledge discovery and data mining, pp 825–828

  • Maeda M, Suenaga M, Miyajima H (2005) A learning model in qubit neuron according to quantum circuit. In: Wang L, Chen K, Ong Y, (eds) Advances in natural computation, LNCS, vol 3610. Springer, Berlin, pp 283–292

  • Mahajan R (2011) Hybrid quantum inspired neural model for commodity price prediction. In: 13th international conference on advanced communication technology, pp 1353–1357

  • Mahdabi P, Abadi M, Jalili S (2009) A novel quantum-inspired evolutionary algorithm for solving combinatorial optimization problems. In: Proceedings of the 11th annual conference on genetic and evolutionary computation, pp 1807–1808

  • Matsuda S (1993) Quantum neurons and their fluctuation. In: Proceedings of international joint conference on neural networks, vol 2. pp 1610–1613

  • Matsui N, Takai M, Nishimura H (1998) A network model based on qubit-like neuron corresponding to quantum circuit, transactions of the institute of electronics. Inf Commun Eng J81-A: 1687–1692

    Google Scholar 

  • Matsui N, Takai M, Nishimura H (1999) A learning network based on qubit-like neuron model. In: Proceedings of 7th LASTED international conference on applied informatics

  • Matsui N, Takai M, Nishimura H (2000a) A network model based on qubit-like neuron corresponding to quantum circuit. Electron Commun Jpn (Part III Fundam Electron Sci) 83: 67–73

    Google Scholar 

  • Matsui N, Kouda N, Nishimura H (2000b) Neural network based on QBP and its performance. In: Proceedings of IEEE international joint conference on neural network, vol 3. pp 247–252

  • Melo M, Costa GAOP, Feitosa RQ (2008) Quantum-inspired evolutionary algortihm and differential evolution using in the adaptation of segmentation parameters, International archives of the photogrammetry remote sensing and spatial information Sciences

  • Meng Q, Gong C (2010) Web information classifying and navigation based on neural network. In: 2nd international conference on signal processing systems, vol 2, pp V2-431–V2-433

  • Meng X, Wang J, Pi Y, Yuan Q (2007) A novel ANN model based on quantum computational MAS theory. In: Li K, Fei M, Irwin G, Ma S (eds) Bio-inspired computational intelligence and applications, LNCS, vol 4688. Springer, Berlin, Heidelberg, pp 28–35

  • Meng K, Dong Z, Wang D, Wong K (2010a) A self-adaptive RBF neural network classifier for transformer fault analysis. IEEE Trans Power Syst 25: 1350–1360

    Google Scholar 

  • Meng K, Wang H, Dong Z, Wong K (2010b) Quantum-inspired particle swarm optimization for valve-point economic load dispatch. IEEE Trans Pow Syst 25: 215–222

    Google Scholar 

  • Menneer T (1998) Quantum artificial neural networks. PhD thesis, University of Exeter, UK

  • Meshoul S, Batouche M (2010) A novel quantum behaved particle swarm optimization algorithm with chaotic search for image alignment. IEEE congress on evolutionary computation, pp 1–6

  • Meshoul S, Layeb A, Batouche M (2005a) A quantum evolutionary algorithm for effective multiple sequence alignment. In: Bento C, Cardoso AL, Dias GL (eds) Progress in artificial intelligence, LNCS, vol 3808. Springer, Berlin, pp 260–271

    Google Scholar 

  • Meshoul S, Mahdi K, Batouche M (2005b) A quantum inspired evolutionary framework for multi-objective optimization. In: Bento C, Cardoso AL, Dias GL (eds) Progress in artificial intelligence, LNCS, vol 3808. Springer, Berlin, pp 190–201

    Google Scholar 

  • Mikki S, Kishk A (2005) Investigation of the quantum particle swarm optimization technique for electromagnetic applications. In: Proceedings of IEEE antennas and propagation society international symposium, vol 2A, pp 45–48

  • Mikki S, Kishk A (2006a) Infinitesimal dipole model for dielectric resonator antennas using the QPSO algorithm. In: IEEE antennas and propagation society international symposium, pp 3285–3288

  • Mikki S, Kishk A (2006b) Quantum particle swarm optimization for electromagnetics. IEEE Trans Antennas Propag 54: 2764–2775

    Google Scholar 

  • Mikki S, Kishk A (2007) Theory and applications of infinitesimal dipole models for computational electromagnetics. IEEE Trans Antennas Propag 55: 1325–1337

    MathSciNet  Google Scholar 

  • Mishra D, Tolambiya A, Shukla A, Kalra P (2006) Stability analysis for higher order complex-valued hopfield neural network. In: King I, Wang J, Chan L-W, Wang D (eds) Neural information processing, LNCS, vol 4232. Springer, Berlin, pp 608–615

    Google Scholar 

  • Mitrpanont JL, Srisuphab A (2002) The realization of quantum complex-valued backpropagation neural network in pattern recognition problem. In: Proceedings of 9th international conference on neural information processing, vol 1, pp 462–466

  • Mo Z, Wu G, He Y, Liu H (2010a) Quantum genetic algorithm for scheduling jobs on computational grids. In: International conference on measuring technology and mechatronics automation, vol 2, pp 964–967

  • Mo Z, Liu H, Xie H, Li F (2010b) Parameter optimization of SVM based on HQGA. In: 6th international conference on natural computation, vol 5, pp 2429–2433

  • Moore M, Narayanan A (1995) Quantum-inspired Computing. Technical report, Department of Computer Science, University of Exeter, UK

  • Moore P, Venayagamoorthy G (2005) Evolving combinational logic circuits using a hybrid quantum evolution and particle swarm inspired algorithm. In: NASA/DoD conference of evolution hardware, pp 97–102

  • Mori K, Isokawa T, Kouda N, Matsui N, Nishimura H (2006) Qubit inspired neural network towards its practical applications. In: International joint conference on neural networks. pp 224–229

  • Muezzinoglu MK, Guzelis C, Zurada JM (2003) A new design method for the complex-valued multistate Hopfield associative memory. IEEE Trans Neural Netw 14: 891–899

    Google Scholar 

  • Nakamiya Y, Kinjo M, Takahashi O, Sato S, Nakajima K (2006) Quantum neural network composed of Kane’s qubits. Jpn J Appl Phys 45: 8030–8034

    Google Scholar 

  • Nan D, Zhang Y (2008a) Predictive modeling based on proportional integral derivative neural networks and quantum computation. In: Proceedings of 7th world congress on intelligent control and automation, pp 769–774

  • Nan D, Zhang Y (2008b) Generalized Quantum Neural Predictive Networks. In: Proceedings of 27th Chinese control conference. pp 654–658

  • Narayanan A (1999) Quantum computing for beginners. In: Proceedings of 1999 congress on evolutionary computation. IEEE Press, pp 2231–2238

  • Narayanan A, Manneer T (2000) Quantum artificial neural network architectures and components. Inf Sci 128: 231–255

    MATH  Google Scholar 

  • Narayanan A, Moore M (1996) Quantum-inspired genetic algorithms. In: Proceedings of 1996 IEEE international conference on evolutionary computation. IEEE Press, pp 61–66

  • Nasios N, Bors AG (2005) Nonparametric clustering using quantum mechanics. In: Proceedings IEEE international conference on image processing, vol 3, pp 820–823

  • Neto JXV, Bernert DLDA, Coelho LDS (2011) Improved quantum-inspired evolutionary algorithm with diversity information applied to economic dispatch problem with prohibited operating zones. Energy Convers Manag 52: 8–14

    Google Scholar 

  • Ni H, Wang W (2010) A niche quantum genetic algorithm used in multi-peak function optimization. In: 6th international conference on natural computation, vol 5, pp 2239–2242

  • Niansheng C, Layuan L, Zongwu K (2007) QoS multicast routing algorithm based on QGA. In: Proceedings of international conference on network and parallel computing-workshops, pp 683–688

  • Nicolau ADS, Schirru R, Meneses AADM (2011) Quantum evolutionary algorithm applied to transient identification of a nuclear power plant. Prog Nucl Energy 53: 86–91

    Google Scholar 

  • Nie R, Xu X, Yue J (2010) A novel quantum-inspired particle swarm algorithm and its application. In: 6th international conference on natural computation, vol 5, pp 2556–2560

  • Nitta T (1993) A back-propagation algorithm for complex numbered neural networks. In: Proceedings of international joint conference on neural networks, vol 2, pp 1649–1652

  • Nitta T (1994) Structure of learning in the complex numbered back-propagation network. In: IEEE international conference on neural networks, vol 1, pp 269–274

  • Niu Q, Zhou T, Ma S (2009) A quantum-inspired immune algorithm for hybrid flow shop with makespan criterion. J Univers Comput Sci 15: 765–785

    MathSciNet  Google Scholar 

  • Nodehi A, Tayarani M, Mahmoudi F (2009) A novel functional sized population quantum evolutionary algorithm for fractal image compression. In: 14th international CSI computer conference, pp 564–569

  • Nowotniak R, Kucharski J (2010) Building blocks propagation in quantum-inspired genetic algorithm. arXiv:1007.4221v2 [cs.NE]

  • Oliveira W, Silva AJ, Ludermir TB, Leonel A, Galindo WR, Pereira JCC (2008) Quantum Logical Neural Networks. In: 10th Brazilian symposium on neural networks, pp 147–152

  • Omkar SN, Khandelwal R, Ananth TVS, Naik GN, Gopalakrishnan S (2009) Quantum behaved particle swarm optimization (QPSO) for multi-objective design optimization of composite structures. Expert Syst Appl 36: 11312–11322

    Google Scholar 

  • Omran M, Salman A (2009) Constrained optimization using CODEQ. Chaos Solitons Fractals 42: 662–668

    MATH  Google Scholar 

  • Pan G, Xia K, Dong Y, Shi J (2007) An improved LS-SVM based on quantum PSO algorithm and its application. In: 3rd international conference on natural computation, vol 2, pp 606–610

  • Panchi L, Shiyong L (2008) Learning algorithm and application of quantum BP neural networks based on universal quantum gates. J Syst Eng Electron 19: 167–174

    MATH  Google Scholar 

  • Panella M, Martinelli G (2009) Neurofuzzy networks with nonlinear quantum learning. IEEE Trans Fuzzy Syst 17: 698–710

    Google Scholar 

  • Pant M, Thangaraj R, Abraham A (2008) A new quantum behaved particle swarm optimization. In: Proceedings of 10th annual conference on genetic and evolutionary computation, pp 87–94

  • Pant M, Thangaraj R, Singh VP (2009) Sobol mutated quantum particle swarm optimization. Int J Recent Trends Eng 1: 95–99

    Google Scholar 

  • Pao Y (1989) Adaptive pattern recognition and neural networks. Addison-Wesley Longman Publishing Co Inc., Reading, MA

    MATH  Google Scholar 

  • Park IW, Lee B, Kim Y, Han J, Kim J (2010a) Multi-objective quantum-inspired evolutionary algorithm-based optimal control of two-link inverted pendulum. In: IEEE Congress on evolutionary computation, pp 1–7

  • Park C, Hong Y, Kim J (2010b) Full-body joint trajectory generation using an evolutionary central pattern generator for stable bipedal walking. In: proceedings of international conference on intelligent robots and systems, pp 160–165

  • Patvardhan C, Narayan A, Srivastav A (2007) Enhanced quantum evolutionary algorithms for difficult knapsack problems. In: Ghosh A, De RK, Pal SK (eds) Proceedings of 2nd international conference on pattern recognition and machine intelligence, LNCS, vol 4815. Springer, Berlin, pp 252–260

    Google Scholar 

  • Peng S, Xu W (2009) Remote sensing image fusion based on IHS transformation and MQPSO algorithm. In: International Asia symposium on intelligent interaction and affective computing, pp 41–44

  • Peng X, Zhang Y, Xiao S, Wu Z, Cui J, Chen L, Xiao D (2008) An alert correlation method based on improved cluster algorithm. In: Pacific-Asia workshop on computational intelligence and industrial application, vol 1, pp 342–347

  • Perus M, Dey SK (2000) Quantum systems can realize content-addressable associative memory. Appl Math Lett 13: 31–36

    MATH  MathSciNet  Google Scholar 

  • Platel MD, Schliebs S, Kasabov N (2007) A versatile quantum-inspired evolutionary algorithm. In: Proceedings IEEE congress on evolutionary computation, pp 423–430

  • Platel MD, Schliebs S, Kasabov N (2009) Quantum-inspired evolutionary algorithm: a multimodel EDA. IEEE Trans Evolut Comput 13: 1218–1232

    Google Scholar 

  • Popa R, Nicolau V, Epure S (2010) A new quantum inspired genetic algorithm for evolvable hardware. In: 3rd international symposium on electrical and electronics engineering, pp 64–69

  • Purushothaman G, Karayiannis NB (1997) Quantum neural networks (QNNs): inherently fuzzy feed forward neural networks. IEEE Trans Neural Netw 8: 679–693

    Google Scholar 

  • Purushothaman G, Karayiannis NB (1998) Feed-forward neural architectures for membership estimation and fuzzy classification. Int J Smart Eng Syst Des 1: 163–185

    Google Scholar 

  • Purushothaman G, Karayiannis NB (2006) On the capacity of feed forward neural networks for fuzzy classification. J Appl Funct Anal 1: 9–32

    MATH  MathSciNet  Google Scholar 

  • Purushothaman G, Karayiannis NB, Dagli CH, Akay M, Chen CLP, Fernandez BR, Ghosh J (1995) On the capacity of feed-forward neural networks for fuzzy classification. Intell Eng Syst Through Artif Neural Netw 5: 253–258

    Google Scholar 

  • Qian J, Zheng J, Zhang C (2010) The intelligent logistics management system based on intelligent computing. In: Proceedings of 2nd international conference on computational intelligence and natural computing, vol 1, pp 41–44

  • Qin C, Zheng J, Lai J (2007) A multiagent quantum evolutionary algorithm for global numerical optimization. In: Li K, Li X, Irwin G, He G (eds) Life system modeling and simulation, LNCS, vol 4689. Springer, Berlin, pp 380–389

    Google Scholar 

  • Qin C, Liu Y, Zheng J (2008) A real-coded quantum-inspired evolutionary algorithm for global numerical optimization. In: IEEE conference on cybernetics and intelligent systems, pp 1160–1164

  • Qu H, Zhao D, Zhou F (2008) A new quantum clone evolutionary algorithm for multi-objective optimization, Int Semin Bus Inf Manag 2:23–25

    Google Scholar 

  • Qu H, Zhou F, Zhang X (2009) An application of new quantum-inspired immune evolutionary algorithm. In: 1st international workshop on database technology and applications, pp 468–471

  • Radha T, Rughooputh HCS (2010) Optimal network reconfiguration of electrical distribution systems using real coded quantum inspired evolutionary algorithm. In: International conference on networking, sensing and control, pp 38–43

  • Rakovic D (2002) Hopfield like quantum associative neural networks and (quantum) holistic psychosomatic implications. In: 6th seminar on neural network applications in electrical engineering, pp 171–176

  • Resconi G, Nikravesh M (2008) Morphic computing. Appl Soft Comput 8: 1164–1177

    Google Scholar 

  • Ricks B, Ventura D (2004) Training a quantum neural network. In: Thrun S, Saul LK, Scholkopf B (eds) Advances in neural information processing systems, vol 16. MIT Press, Cambridge, MA, pp 1019–1034

    Google Scholar 

  • Rigatos GG, Tzafestas SG (2002) Parallelization of a fuzzy control algorithm using quantum computation. IEEE Trans Fuzzy Syst 10: 451–460

    Google Scholar 

  • Rigatos GG, Tzafestas SG (2006) Quantum learning for neural associative memories. Fuzzy Sets Syst 157: 1797–1813

    MATH  MathSciNet  Google Scholar 

  • Rylander B, Soule T, Foster J, Alves-Foss J (2001) Quantum evolutionary programming. In: Proceedings genetic and evolutionary computation conference, pp 1005–1011

  • Sabat SL, Coelho LS, Abraham A (2009) MESFET DC model parameter extraction using quantum particle swarm optimization. Microelectron Reliab 49: 660–666

    Google Scholar 

  • Sabat SL, Udgata SK, Murthy KPN (2010) Small signal parameter extraction of MESFET using quantum particle swarm optimization. Microelectron Reliab 50: 199–206

    Google Scholar 

  • Sarangi A, Mahapatra RK, Panigrahi SP (2011) DEPSO and PSO-QI in digital filter design. Expert Syst Appl 38: 10966–10973

    Google Scholar 

  • Sato S, Kinjo M, Nakajima K (2003) An approach for quantum computing using adiabatic evolution algorithm. Jpn J Appl Phys 42: 7169–7173

    Google Scholar 

  • Schliebs S, Defoin-Platel ML, Kasabov N (2009a) Integrated feature and parameter optimization for an evolving spiking neural network. In: Koppen M, Kasabov N, Coghill G (eds) Advances in neuro-information processing, LNCS, vol 5506. Springer, Berlin, pp 1229–1236

    Google Scholar 

  • Schliebs S, Platel MD, Worner S, Kasabov N (2009b) Quantum-inspired feature and parameter optimization of evolving spiking neural networks with a case study from ecological modeling, In: IEEE International joint conference on Neural Networks, pp 2833–2840

  • Schliebs S, Defoin-Platel M, Worner S, Kasabov N (2009c) Integrated feature and parameter optimization for an evolving spiking neural network: exploring heterogeneous probabilistic models. In: International joint conference on neural networks, vol 22, pp 623–632

  • Schliebs S, Defoin-Platel M, Kasabov N (2010) Analyzing the dynamics of the simultaneous feature and parameter optimization of an evolving spiking neural network. In: International joint conference on neural networks, pp 1–8

  • Seising R (2006) Can fuzzy sets be useful in the (Re) interpretation of uncertainty in quantum mechanics? In: Proceedings of annual meeting of the North American fuzzy information processing society, pp 414–419

  • Seising R (2008) From principles of mechanics to quantum mechanics—a survey on fuzziness in scientific theories. In: Proceedings of annual meeting of the North American fuzzy information processing society, pp 1–6

  • Shang R, Cheng J, Li Y, Wu J (2010) Quantum immune clonal selection algorithm for multi-objective 0/1 knapsack problems. Chin Phys Lett 27: 10308–10311

    Google Scholar 

  • Shayeghi H, Shayanfar H, Jalilzadeh S, Safari A (2010) Tuning of damping controller for UPFC using quantum particle swarm optimizer. Energy Convers Manag 51: 2299–2306

    Google Scholar 

  • Shen S, Chen W (2006) Probability evolutionary algorithm based human body tracking. In: Rothlauf F, Branke JR, Cagnoni S, Costa E, Cotta C, Drechsler R, Lutton E, Machado P, Moore J, Romero J, Smith G, Squillero G, Takagi H (eds) Applications of evolutionary computing, LNCS, vol 3907. Springer, Berlin, pp 525–529

    Google Scholar 

  • Shen S, Liu Y (2008) Probability evolutionary algorithm for functional and combinatorial optimization. In: Proceedings of 7th world congress on intelligent control and automation, pp 7893–7897

  • Shen CY, Huang H, Hwang R (2008) Ammonia identification using shear horizontal surface acoustic wave sensor and quantum neural network model. Sens Actuators A Phys 147: 464–469

    Google Scholar 

  • Shi Z, Li Y, Song Y, Yu T (2009) Fault diagnosis of transformer based on quantum-behaved particle swarm optimization-based least squares support vector machines. In: International conference on information engineering and computer science, pp 1–4

  • Shi W, Zhang Q, Du H (2010a) Quantum particle swarm optimization for integer programming of phased array feeds. In: International conference on microwave and millimeter wave technology, pp 1386–1389

  • Shi Y, Li X, Qi X (2010b) Parameter optimization of support vector machine based on combined algorithm of QPSO and SA. In: 1st International conference on pervasive computing, signal processing and applications, pp 483–486

  • Shu W (2008) Job scheduling in campus grid based on quantum genetic algorithm. Comput Eng 7: 191–193

    Google Scholar 

  • Shuyan W (2008) Automatic detection of QRS complexes using quantum neural networks. In: International conference on bio medical engineering and informatics, vol 2. pp 306–309

  • Sienko W, Citko W (2003) On very large scale hamiltonian neural nets. In: Rutkowski L (ed) Neural networks and soft computing. Springer, Heidelberg, pp 268–273

    Google Scholar 

  • Sienko W, Citko W (2004) Quantum signal processing via hamiltonian neural networks. Int J Comput Anticip Syst 14: 224–242

    Google Scholar 

  • Sienko W, Citko W, Wilamowski B (2002) Hamiltonian neural nets as a universal signal processor. In: 28th annual conference of IEEE industrial electronics society, vol 4, pp 3201–3204

  • Sienko W, Citko W, Jakobczak D (2004) Learning and system modeling via hamiltonian neural networks. In: Rutkowski L, Siekmann JR, Tadeusiewicz R, Zadeh L (eds) Artificial intelligence and soft computing, LNCS, vol 3070. Springer, Berlin, pp 266–271

    Google Scholar 

  • Sierocinski T, Theret N, Petritis D (2008a) Fuzzy and quantum methods of information retrieval to analyze genomic data from patients at different stages of fibrosis. In: 1st international symposium on applied sciences on biomedical and communication technologies, pp 1–5

  • Sierocinski T, Le Bechec A, Theret N, Petritis D (2008b) Semantic distillation: a method for clustering objects by their contextual specificity. In: Krasnogor N, Nicosia G, Pavone M, Pelta D (eds) Nature inspired cooperative strategies for optimization (NICSO 2007), vol 129. Springer, Berlin, pp 431–442

    Google Scholar 

  • Storn R (1996) On the usage of differential evolution for function optimization. In: Biennial conference of the North American fuzzy information processing society, pp 519–523

  • Su H, Yang Y (2008) Quantum-inspired differential evolution for binary optimization. In: The 4th international conference on natural computation, pp 341–346

  • Su H, Yang Y (2011) Differential evolution and quantum-inquired differential evolution for evolving Takagi-Sugeno fuzzy models. Expert Syst Appl 38: 6447–6451

    Google Scholar 

  • Su D, Xu W, Sun J (2009a) Quantum-behaved particle swarm optimization with crossover operator. In: International conference on wireless networks and information systems, pp 399–402

  • Su X, Zhao J, Sun J (2009b) Online system identification based on quantum-behaved particle swarm optimization algorithm. In: International conference on web information systems and mining, pp 475–479

  • Su H, Yang Y, Zhao L (2010) Classification rule discovery with DE/QDE algorithm. Expert Syst Appl 37: 1216–1222

    Google Scholar 

  • Sun J, Hao S (2009) Research of fuzzy neural network model based on quantum clustering. In: 2nd international workshop on knowledge discovery and data mining, pp 133–136

  • Sun C, Lu S (2010) Short-term combined economic emission hydrothermal scheduling using improved quantum-behaved particle swarm optimization. Expert Syst Appl 37: 4232–4241

    Google Scholar 

  • Sun J, Feng B, Xu W (2004a) Particle swarm optimization with particles having quantum behavior. In: Proceedings of congress on evolutionary computation, pp 325–331

  • Sun J, Xu W, Feng B (2004b) A global search strategy of quantum-behaved particle swarm optimization. In: Proceedings of IEEE conference on cybernetics and intelligent systems, pp 111–116

  • Sun J, Xu W, Liu J (2005a) Parameter selection of quantum-behaved particle swarm optimization. In: Wang L, Chen K, Ong YS (eds) Advances in natural computation, LNCS, vol 3612. Springer, Berlin, pp 543–552

    Google Scholar 

  • Sun J, Xu W, Feng B (2005b) Adaptive parameter control for quantum-behaved particle swarm optimization on individual level. In: IEEE international conference on systems, man and cybernetics, vol 4, pp 3049–3054

  • Sun J, Xu W, Fang W (2006a) Quantum-behaved particle swarm optimization algorithm with controlled diversity. In: Alexandrov V, Albada G, Sloot P, Dongarra J (eds) Computational science, LNCS, vol 3993. Springer, Berlin, pp 847–854

    Google Scholar 

  • Sun J, Xu W, Fang W (2006b) A diversity-guided quantum-behaved particle swarm optimization algorithm. In: Wang T-D, Li X, Chen SH, Wang X, Abbass H, Iba H, Chen G, Yao X (eds) Simulated evolution and learning, LNCS, vol 4247. Springer, Berlin, pp 497–504

    Google Scholar 

  • Sun J, Xu W, Fang W (2006c) Enhancing global search ability of quantum-behaved particle swarm optimization by maintaining diversity of the swarm. In: Greco S, Hata Y, Hirano S, Inuiguchi M, Miyamoto S, Nguyen H, Slowinski R (eds) Rough sets and current trends in computing, LNCS, vol 4259. Springer, Berlin, pp 736–745

    Google Scholar 

  • Sun J, Xu W, Fang W (2006d) Quantum-behaved particle swarm optimization with a hybrid probability distribution. In: Yang Q, Webb G (eds) Trends in artificial intelligence, LNCS, vol 4099. Springer, Berlin, pp 737–746

    Google Scholar 

  • Sun J, Xu W, Ye B (2006e) Quantum-behaved particle swarm optimization clustering algorithm. In: Li X, ZaÃane O, Li Z (eds) Advanced data mining and applications, LNCS, vol 4093. Springer, Berlin, pp 340–347

  • Sun J, Xu W, Fang W (2006f) Solving multi-period financial planning problem via quantum-behaved particle swarm algorithm. In: Huang D-S, Li K, Irwin G (eds) Computational intelligence, LNCS, vol 4114. Springer, Berlin, pp 1158–1169

    Google Scholar 

  • Sun J, Liu J, Xu W (2006g) QPSO-based QoS multicast routing algorithm. In: Wang T-D, Li X, Chen S-H, Wang X, Abbass H, Iba H, Chen G, Yao X (eds) Simulated evolution and learning, LNCS, vol 4247. Springer, Berlin, pp 261–268

    Google Scholar 

  • Sun J, Xu W, Liu J (2006h) Training RBF neural network via quantum-behaved particle swarm optimization. In: King I, Wang J, Chan L-W, Wang D (eds) Neural information processing, LNCS, vol 4233. Springer, Berlin, pp 1156–1163

    Google Scholar 

  • Sun J, Lai C, Xu W, Ding Y, Chai Z (2007a) A modified quantum-behaved particle swarm optimization. In: Shi Y, Albada G, Dongarra J, Sloot P (eds) Computational science, LNCS, vol 4487. Springer, Berlin, pp 294–301

    Google Scholar 

  • Sun J, Xu W, Fang W, Chai Z (2007b) Quantum-behaved particle swarm optimization with binary encoding. In: Beliczynski B, Dzielinski A, Iwanowski M, Ribeiro B (eds) Adaptive and natural computing algorithms, LNCS, vol 4431. Springer, Berlin, pp 376–385

    Google Scholar 

  • Sun J, Lai C, Xu W, Chai Z (2007c) A novel and more efficient search strategy of quantum-behaved particle swarm optimization. In: Beliczynski B, Dzielinski A, Iwanowski M, Ribeiro B (eds) Adaptive and natural computing algorithms, LNCS, vol 4431. Springer, Berlin, pp 394–403

    Google Scholar 

  • Sun J, Liu J, Xu WB (2007d) Using quantum-behaved particle swarm optimization algorithm to solve non-linear programming problems. Int J Comput Math 84: 261–272

    MATH  MathSciNet  Google Scholar 

  • Sun J, Fang W, Chen W, Xu W (2008) Design of two-dimensional IIR digital filters using an improved quantum-behaved particle swarm optimization algorithm. In: American control conference, pp 2603–2608

  • Sun J, Fang W, Wang D, Xu W (2009) Solving the economic dispatch problem with a modified quantum-behaved particle swarm optimization method. Energy Convers Manag 50: 2967–2975

    Google Scholar 

  • Sun J, Fang W, Xu W (2010a) A quantum-behaved particle swarm optimization with diversity-guided mutation for the design of two-dimensional IIR digital filters. IEEE Trans Circuits Syst II Express Briefs 57: 141–145

    Google Scholar 

  • Sun C, Lu S, Lu Z (2010b) An improved quantum-behaved particle swarm optimization method for short-term combined economic emission hydrothermal scheduling. Energy Convers Manag 51: 561–571

    MathSciNet  Google Scholar 

  • Sun J, Fang W, Wu X, Xie Z, Xu W (2011a) QoS multicast routing using a quantum-behaved particle swarm optimization algorithm. Eng Appl Artif Intell 24: 123–131

    Google Scholar 

  • Sun J, Fang W, Wu X, Palade V, Xu W (2011b) quantum behavior: Particle swarm optimization: analysis of the individual particle behavior & parameter selection. Evolut Comput. doi:10.1162/EVCO-a-00049

  • Sun J, Wu X, Fang W, Ding Y, Long H, Xu W (2012) Multiple sequence alignment using the hidden Markov model trained by an improved quantum-behaved particle swarm optimization. Inf Sci 182: 93–114

    MATH  MathSciNet  Google Scholar 

  • Takai M, Matsui N, Nishimura H (1998) A neural network based on quantum information theory. In: annual symposium proceedings SZCE Kansai branch, vol J81-A. pp 154–157

  • Talbi H, Draa A, Batouche M (2004a) A new quantum-inspired genetic algorithm for solving the travelling salesman problem. In: Proceedings of IEEE international conference on industrial technology, vol 3, pp 1192–1197

  • Talbi H, Draa A, Batouche M (2004b) A genetic quantum algorithm for image registration. In: Proceedings of international conference on information and communication technologies: from theory to applications, pp 395–396

  • Talbi H, Batouche M, Draa A (2004c) A quantum-inspired genetic algorithm for multi-source affine image registration. In: Campilho AL, Kamel M (eds) Image analysis and recognition, LNCS, vol 3211. Springer, Berlin, pp 147–154

    Google Scholar 

  • Talbi H, Draa A, Batouche M (2006) A novel quantum-inspired evaluation algorithm for multi-source affine image registration. Int Arab J Inf Technol 3: 9–15

    Google Scholar 

  • Talbi H, Batouche M, Draao A (2007) A quantum-inspired evolutionary algorithm for multiobjective image segmentation. Int J Math Phys Eng Sci 1: 109–114

    Google Scholar 

  • Tan Q, Song Y (2008) Sidelobe suppression algorithm for chaotic FM signal based on neural network. In: 9th international conference on signal processing, pp 2429–2433

  • Tan J, Meng X, Wang T, Wang S (2009) Multi-agent reinforcement learning based on quantum and ant colony algorithm theory. In: International conference on machine learning and cybernetics, vol 3, pp 1759–1764

  • Tang Q, Tang L (2008) Study of regional logistics demand forecasting methods based on quantum particle swarm optimization. In: IEEE International conference on service operations and logistics, and informatics, vol 2, pp 1658–1663

  • Tang L, Xue F (2008) Using data to design fuzzy system based on quantum-behaved particle swarm optimization. In: International conference on machine learning and cybernetics, vol 1, pp 624–628

  • Tank D, Hopfield J (1986) Simple ‘neural’ optimization networks: an A/D converter, signal decision circuit, and a linear programming circuit. IEEE Trans Circuits Syst 36: 533–541

    Google Scholar 

  • Tao L (2009) Text topic mining and classification based on quantum-behaved particle swarm optimization. J Southwest Univ Natl 35: 603–607

    Google Scholar 

  • Tao L, Feng Y, Jianying C, Weilin H (2009) Acquisition of classification rule based on quantum-behaved particle swarm optimization. Appl Res Comput 26: 496–499

    Google Scholar 

  • Tao F, Zhang L, Zhang ZH, Nee AYC (2010) A quantum multi-agent evolutionary algorithm for selection of partners in a virtual enterprise. CIRP Ann Manuf Technol 59: 485–488

    Google Scholar 

  • Tayarani M, Akbarzadeh M (2008a) A cellular structure and diversity preserving operator in quantum evolutionary algorithms. In: IEEE world conference on computational intelligence, pp 2665–2670

  • Tayarani M, Akbarzadeh M (2008b) A sinusoid size ring structure quantum evolutionary algorithm. In: IEEE international conference on cybernetics and intelligent systems, pp 1165–1170

  • Tayarani M, Akbarzadeh R (2009) Improvement of quantum evolutionary algorithm with a functional sized population. In: Mehnen J, KÃppen M, Saad A, Tiwari A (eds) Applications of soft computing, vol 58. Springer, Berlin, pp 389–398

    Google Scholar 

  • Teng J-F, Dong J, Wang S, Bao H, Wang M (2007a) A speech enhancement algorithm based on bark-scale wavelet package. In: Proceedings of 6th international conference on machine learning and cybernetics, vol 7. pp 19–22

  • Teng H, Zhao B, Yang B, He B (2007b) Study of quantum genetic algorithm based on mutative scale chaotic optimization. In: Proceedings of international conference on intelligent systems and knowledge engineering, vol 10, pp 130–133

  • Teng H, Zhao B, Yang B (2008a) An improved mutative scale chaos optimization quantum genetic algorithm. In: Proceedings of 4th international conference on natural computation, vol 6, pp 301–305

  • Teng H, Yang B, Zhao B (2008b) A new mutative scale chaos optimization quantum genetic algorithm. In: Proceedings of control and decision conference, pp 1547–1551

  • Teng H, Zhao B, Caoc A (2010a) Chaos quantum genetic algorithm based on Hénon map. In: International conference on intelligent computation technology and automation, vol 1, pp 922–925

  • Teng H, Zhao B, Wang S (2010b) Chaos quantum genetic algorithm based on Tent map. In: 2nd international conference on computer engineering and technology, vol 4, pp V4-403–V4-406

  • Thangaraj R, Pant M, Nagar A (2009) Maximization of expected target damage value using quantum particle swarm optimization. In: 2nd international conference on developments in systems engineering, pp 329–334

  • Tian S, Liu T (2009) Short-term load forecasting based on RBFNN and QPSO. In: Asia-Pacific power and energy engineering conference, pp 1–4

  • Tian Y, Wu J, Peng L, Chen L (2010) Quantum ant colony optimization algorithm and its application on collision detection. In: International conference on computational and information sciences, pp 1150–1153

  • Tsai HF, Chang BR (2007) Quantum search tuning ANFIS/NGARCH for analysis of timing of resources exploration in the behavior of firm. In: 3rd international conference on natural computation, vol 5, pp 292–296

  • Tsai HF, Chang BR (2008) Timing of resources exploration in the behavior of firm—innovative approach and empirical simulation. Expert Syst Appl 34: 2656–2663

    Google Scholar 

  • Tsai X, Chen Y, Huang H, Chuang S, Hwang R (2005) QNN Vs NN in signal recognition. In: Proceedings of 3rd international conference on information technology and applications, vol 1. pp 308–312

  • Ulyanov S (2003) US patent 6,578,018 B1, system and method for control using quantum soft computing, Filled 27/07/1999, Date of publication 10/07/2003

  • Ulyanov S (2004) Quantum soft computing in control process design: quantum genetic algorithms and quantum neural network approaches. In: World automation congress proceedings, vol 17, pp 99–104

  • Ulyanov S, Litvintseva L, Panfilov S (2005) Design of self-organized intelligent control systems based on quantum fuzzy inference: intelligent system of systems engineering approach. In: IEEE international conference on systems, man and cybernetics, vol 4, pp 3835–3840

  • Venayagamoorthy G, Singhal G (2005) Comparison of quantum-inspired evolutionary algorithms and binary particle swarm optimization for training MLP and SRN neural networks. J Comput Theor Nanosci 2: 561–568

    Google Scholar 

  • Ventura D, Martinez T (1998) Quantum associative memory with exponential capacity. In: Proceedings of international joint conference on neural networks, vol 1. pp 509–513

  • Ventura D, Martinez T (2000) Quantum associative memory. Inf Sci 124: 273–296

    MathSciNet  Google Scholar 

  • Vlachogiannis JG, Lee KY (2008) Quantum-inspired evolutionary algorithm for real and reactive power dispatch. IEEE Trans Pow Syst 23: 1627–1636

    Google Scholar 

  • Vlachogiannis JG, Ostergaard J (2009) Reactive power and voltage control based on general quantum genetic algorithms. Expert Syst Appl 36: 6118–6126

    Google Scholar 

  • Wang F, Bai Z (2010) A novel train traffic control method based on time petri nets and immune quantum optimization algorithm. In: International conference on measuring technology and mechatronics automation, vol 1, pp 273–277

  • Wang H, Guo L (2010) Multi-objective optimization of cognitive radio in clonal selection quantum genetic algorithm. In: International conference on measuring technology and mechatronics automation, vol 2, pp 740–743

  • Wang L, Li B (2008) Quantum-inspired genetic algorithms for flow shop scheduling. In: Nedjah N, Coelho L, Mourelle L (eds) Quantum inspired intelligent systems, vol 121. Springer, Berlin, pp 17–56

    Google Scholar 

  • Wang L, Li L (2010) An effective hybrid quantum-inspired evolutionary algorithm for parameter estimation of chaotic systems. Expert Syst Appl 37: 1279–1285

    Google Scholar 

  • Wang Y, Shi Y (2010) The application of quantum-inspired evolutionary algorithm in analog evolvable hardware. In: International conference on environmental science and information application technology, vol 2, pp 330–334

  • Wang J, Zhou Y (2007) Quantum-behaved particle swarm optimization with generalized local search operator for global optimization. In: Huang D-S, Heutte L, Loog M (eds) Advanced intelligent computing theories and applications. With aspects of artificial intelligence, LNCS, vol 4682. Springer, Berlin, pp 851–860

    Google Scholar 

  • Wang L, Wu H, Tang F, Zheng D (2005a) A hybrid quantum-inspired genetic algorithm for flow shop scheduling. In: Huang D-S, Zhang XP, Huang G-B (eds) Advances in intelligent computing, LNCS, vol 3645. Springer, Berlin, pp 636–644

    Google Scholar 

  • Wang L, Tang F, Wu H (2005b) Hybrid genetic algorithm based on quantum computing for numerical optimization and parameter estimation. Appl Math Comput 171: 1141–1156

    MATH  MathSciNet  Google Scholar 

  • Wang Y, Feng X, Huang Y, Zhou W, Liang Y, Zhou C (2005c) A novel quantum swarm evolutionary algorithm for solving 0-1 Knapsack problem. In: Wang L, Chen K, Ong Y (eds) Advances in natural computation, LNCS, vol 3611. Springer, Berlin, p 433

    Google Scholar 

  • Wang X, Wang Q, Hou M, Huang M (2006) A game theory and QGA based flexible QoS unicast routing scheme. In: Proceedings of international conference on communication technology, pp 1–4

  • Wang X, Wang Q, Huang M, Tian Y (2007a) A flexible intelligent QoS unicast routing scheme in NGI. In: Proceedings of 2nd IEEE conference on industrial electronics and applications, pp 2371–2376

  • Wang X, Yang Y, Xiao J (2007b) Application of quantum genetic algorithm in logistics distribution planning. In: Proceedings of Chinese control conference, pp 759–762

  • Wang L, Niu Q, Fei M (2007c) A novel quantum ant colony optimization algorithm. In: Li K, Fei M, Irwin G, Ma S (eds) Bio-inspired computational intelligence and applications, LNCS, vol 4688. Springer, Berlin, pp 277–286

    Google Scholar 

  • Wang H, Yang S, Xu W, Sun J (2007d) Scalability of hybrid fuzzy c-means algorithm based on quantum-behaved PSO. In: 4th international conference on fuzzy systems and knowledge discovery, vol 2, pp 261–265

  • Wang Y, Feng X, Huang Y, Pu D, Zhou W, Liang Y, Zhou C (2007e) A novel quantum swarm evolutionary algorithm and its applications. Neurocomputing 70: 633–640

    Google Scholar 

  • Wang X, Tang Y, Cheng P (2008a) Machine-vision detection for Rail-Steel’s surface flaws based on quantum neural network. In: Proceedings of 7th world congress on intelligent control and automation. pp 5050–5055

  • Wang H, Feng J, Qian F (2008b) Parameter estimation in naphtha pyrolysis based on chaos quantum particle swarm optimization algorithm. In: 7th world congress on intelligent control and automation, pp 5600–5604

  • Wang X, Chen J, Wu Z, Pan F (2008c) Modeling of fermentation process based on QDPSO-SVM. In: 4th international conference on natural computation, vol 7, pp 186–190

  • Wang J, Liu Z, Lu P (2008d) Electricity load forecasting based on adaptive quantum-behaved particle swarm optimization and support vector machines on global level. In: International symposium on computational intelligence and design, vol 1, pp 233–236

  • Wang L, Niu Q, Fei M (2008e) A novel quantum ant colony optimization algorithm and its application to fault diagnosis. Trans Inst Meas Control 30: 313–329

    Google Scholar 

  • Wang J, Zhang Y, Zhou Y, Yin J (2008f) Discrete quantum-behaved particle swarm optimization based on estimation of distribution for combinatorial optimization. In: IEEE congress on evolutionary computation, pp. 897–904

  • Wang L, Wang X, Fei M (2009a) A novel quantum-inspired pseudorandom proportional evolutionary algorithm for the multidimensional knapsack problem. In: Proceedings of the 1st ACM/SIGEVO summit on genetic and evolutionary computation, pp 545–552

  • Wang X, Sun J, Xu W (2009b) A parallel QPSO algorithm using neighborhood topology model. In: WRI world congress on computer science and information engineering, vol 4, pp 831–835

  • Wang D, Wang Z, Huang Y, Han P (2009c) The thermal process identification with radial basis function network based on quantum particle swarm optimization. In: International conference on sustainable power generation and supply, pp 1–4

  • Wang Y, Sun Y, Yu B, Ma Y (2010a) The optimization of wireless sensor networks in the open-pit mine slope detection base on quantum genetic algorithms. In: International conference on electrical and control engineering, pp 3089–3093

  • Wang Z, Zhou M, Li X, Fan C, Jin F (2010b) A quantum particle swarm optimization for solving the capacitated vehicle routing problem. In: 8th world congress on intelligent control and automation, pp 3281–3285

  • Wang X, Wang F, Xue J, Li F (2010c) Application of QPSO algorithm in aeroengine maximum thrust optimization. In: International conference on computing, control and industrial engineering, vol 2, pp 304–306

  • Wang X, Lin Q, Dong X (2010d) Aircraft evasive maneuver trajectory optimization based on QPSO. In: International congress on ultra modern telecommunications and control systems and workshops, pp 416–420

  • Wang H, Zhang Y, Li D (2010e) Network intrusion detection based on hybrid fuzzy C-mean clustering. In: 7th international conference on fuzzy systems and knowledge discovery, vol 1, pp 483–486

  • Wenlong X, Xu W, Sun J (2007) Image interpolation algorithm based on quantum-behaved particle swarm optimization. J Comput Appl 27: 2147–2149

    Google Scholar 

  • Wu R, Peng L (2007) Handwritten digital recognition method based on quantum neural networks. Comput Eng Des 328–333

  • Wu W, Wang P, Zhang X, Wang L, Jing D (2008a) Search for the best polarity of multi-output RM circuits base on QGA. In: Proceedings of 2nd international symposium on intelligent information technology application, vol 3, pp 279–282

  • Wu R, Su C, Xia K, Wu Y (2008b) An approach to WLS-SVM based on QPSO algorithm in anomaly detection. In: World congress on intelligent control and automation, pp 4468–4472

  • Wu R, Wang J, Xia K, Yang R (2008c) Optimal design on CMOS operational amplifier with QPSO algorithm. In: International conference on wavelet analysis and pattern recognition, pp 821–825

  • Wu Q, Jiao L, Pan X, Sun Y (2008d) Quantum-inspired immune memory algorithm for self-structuring antenna optimization. In: International conference on computer science and software engineering, vol 6, pp 513–516

  • Wu Q, Jiao L, Li Y, Deng X (2009) A novel quantum-inspired immune clonal algorithm with the evolutionary game approach. Prog Nat Sci 19: 1341–1347

    MathSciNet  Google Scholar 

  • Wu J, Chen L, Peng L, Yang L (2010a) A collision detection algorithm based on modified quantum genetic algorithm. In: International Conference on internet technology and applications, pp 1–4

  • Wu J, Peng L, Chen L, Yang L (2010b) Quantum immune algorithm and its application in collision detection. In: Li K, Fei M, Jia L, Irwin G (eds) Life system modeling and intelligent computing, LNCS, vol 6329. Springer, Berlin, pp 138–147

    Google Scholar 

  • Wu D, Li H, Li S, Liu B (2010c) AFTER-IQEA combination forecasting model for cosmetics sales forecasting. In: IEEE international conference on emergency management and management sciences, pp 75–78

  • Xi Q, Ma Y (1999) Quantum Hopfield model with a random transverse field and a random neuronal threshold. Phys Lett A 254: 355–360

    Google Scholar 

  • Xi M, Sun J, Xu W (2006) Quantum-behaved particle swarm optimization for design H infinite structure specified controllers. In: Proceedings of international symposium on distributed computing and applications to business, engineering and science, pp 1016–1019

  • Xi M, Sun J, Xu W (2007a) Parameter optimization of PID controller based on quantum-behaved particle swarm optimization. In: Proceedings of international conference on computer science and applications, pp 603–607

  • Xi M, Sun J, Xu W (2007b) Quantum-behaved particle swarm optimization with elitist mean best position, complex systems and applications-modeling. Control Simul 14 S(2): 1643–1647

    Google Scholar 

  • Xi M, Sun J, Xu W (2008) An improved quantum-behaved particle swarm optimization algorithm with weighted mean best position. Appl Math Comput 205: 751–759

    MATH  Google Scholar 

  • Xia K, Zhang X, Gao J, Zhang L (2008) Study on GPS attitude determination technology based on QPSO algorithm. In: 7th world congress on intelligent control and automation, pp 1869–1873

  • Xiao J (2009) Improved quantum evolutionary algorithm combined with chaos and its application. In: Yu W, He H, Zhang N (eds) Advances in neural networks, LNCS, vol 5553. Springer, Berlin, pp 704–713

    Google Scholar 

  • Xiao W, Zhang X (2007) Fairness of QoS degradation in multimedia wireless networks. In: Proceedings of international conference on wireless communications, networking and mobile computing, pp 2029–2032

  • Xianwen R, Feng Z, Lingfeng Z, Xianwen M (2010) Application of quantum neural network based on rough set in transformer fault diagnosis. In: Asia-Pacific power and energy engineering conference, pp 1–4

  • Xiao W, Zhang X, Yan X (2006) QGA based bandwidth adaptation scheme for wireless/mobile networks. In: Proceedings of 6th international conference on ITS telecommunications, pp 1323–1326

  • Xiao J, Yan Y, Lin Y, Yuan L, Zhang J (2008) A quantum-inspired genetic algorithm for data clustering. IEEE Congress on Evolutionary Computation, pp 1513–1519

  • Xiao B, Qin T, Feng D, Mu G, Li P, Xiao GM (2009a) Optimal planning of substation locating and sizing based on improved QPSO algorithm. In: Asia-Pacific power and energy engineering conference, pp 1–5

  • Xiao J, Xu J, Chen Z, Zhang K, Pan L (2009b) A hybrid quantum chaotic swarm evolutionary algorithm for DNA encoding. Comput Math Appl 57: 1949–1958

    Google Scholar 

  • Xiao J, Yan Y, Zhang J, Tang Y (2010) A quantum-inspired genetic algorithm for k-means clustering. Expert Syst Appl 37: 4966–4973

    Google Scholar 

  • Xiao J, Liu B (2009) Quantum swarm evolutionary algorithm with time-varying acceleration coefficients for partner selection in virtual enterprise. In: 4th international conference on bio-inspired computing, pp 1–6

  • Xie J (2009) Optimal sensor placement based on parallel quantum genetic algorithm integrated LS-SVMs for self-diagnostic smart structures. In: International conference on artificial intelligence and computational intelligence, vol 1, pp 412–415

  • Xin W, Shigeru F (2010) Multi-update mode quantum evolutionary algorithm for a combinatorial problem. In: The 2nd international conference on computer and automation engineering, vol 2, pp 281–285

  • Xin Z, Qiang L (2010) Robust design method in motion mechanism using inverse-proportional inertia weight quantum-behaved particle swarm algorithm. In: 3rd IEEE international conference on computer science and information technology, vol 8, pp 247–251

  • Xing H, Bai L, Ji Y (2008a) QoS multicast routing scheme using QGA in IP/DWDM networks. J China Univ Posts Telecommun 15: 95–100

    Google Scholar 

  • Xing H, Bai L, Ji Y, Sun Y (2008b) A quantum-inspired evolutionary algorithm for coding resource optimization based network coding multicasting. In: 4th international conference on semantics, knowledge and grid, pp 453–456

  • Xing H, Liu X, Jin X, Bai L, Ji Y (2009a) A multi-granularity evolution based quantum genetic algorithm for QoS multicast routing problem in WDM networks. Comput Commun 32: 386–393

    Google Scholar 

  • Xing H, Ji Y, Bai L, Liu X, Qu Z, Wang X (2009b) An adaptive-evolution-based quantum-inspired evolutionary algorithm for QoS multicasting in IP/DWDM networks. Comput Commun 32: 1086–1094

    Google Scholar 

  • Xing H, Ji Y, Bai L, Sun Y (2010) An improved quantum-inspired evolutionary algorithm for coding resource optimization based network coding multicast scheme. Int J Electron Commun 64: 1105–1113

    Google Scholar 

  • Xiong Y, Chen H, Miao F, Wang X (2004) A quantum genetic algorithm to solve combinatorial optimization problem. Acta Electron Sinica 11: 1855–1858

    Google Scholar 

  • Xue Y, Sun J, Xu W (2006) QPSO algorithm for rectangle-packing optimization. J Comput Appl 9: 2068–2070

    Google Scholar 

  • Xu L, Linghu Q (2008) A modified quantum-inspired evolutionary algorithm based on immune operator and its convergence. In: 4th international conference on natural computation, pp 136–140

  • Xu C, Dai K (2008) The optimization of hierarchical SOC test architecture to reduce test time. In: International conference on electronic packaging technology & high density packaging, pp 1–4

  • Xu Q, Guo J (2010) A quantum differential evolution algorithm for function optimization. In: Proceedings of international conference on computer application and system modeling, vol 8, pp V8-347–V8-350

  • Xu W, Sun J (2005) Adaptive parameter selection of quantum-behaved particle swarm optimization on global level. In: Huang D-S, Zhang XP, Huang G-B (eds) Advances in intelligent computing, LNCS, vol 3644. Springer, Berlin, pp 420–428

    Google Scholar 

  • Xu X, Zhang X, Cai Y, Zhuo L, Shen L (2009) Supervised color correction based on QPSO-BP neural network algorithm. In: 2nd international congress on image and signal processing, pp 1–5

  • Xu X, Jiang J, Jie J, Wang H, Wang W (2010a) An improved real coded quantum genetic algorithm and its applications. In: International conference on computational aspects of social networks, pp 307–310

  • Xu C, Zhang J, Lu X (2010b) Planning for SOC test with power constraint based on quantum algorithm. In: International conference on intelligent computing and integrated systems, pp 660–664

  • Yan L, Chen H, Ji W, Lu Y, Li J (2009) Optimal VSM model and multi-object quantum-inspired genetic algorithm for web information retrieval. In: International symposium on computer network and multimedia technology, pp 1–4

  • Yang Q, Ding S (2007) Methodology and case study of hybrid quantum-inspired evolutionary algorithm for numerical optimization. In: Proceedings of 3rd international conference on natural computation, vol 5, pp 634–638

  • Yang S, Jiao L (2003) The quantum evolutionary programming. In: Proceedings of 5th international conference on computational intelligence and multimedia applications, pp 362–367

  • Yang K, Nomura H (2010) Quantum-behaved particle swarm optimization with chaotic search. IEICE Trans Inf Syst E91.D: 1963–1970

    Google Scholar 

  • Yang J, Xie J (2010) An improved quantum-behaved particle swarm optimization algorithm. In: 2nd international Asia conference on informatics in control, automation and robotics, vol 2, pp 159–162

  • Yang T, Zhang X (2010) Spatial clustering algorithm with obstacles constraints by quantum particle swarm optimization and K-Medoids. In: 2nd international conference on computational intelligence and natural computing, vol 2, pp 105–108

  • Yang S, Liu F, Jiao L (2001) The quantum evolutionary strategies. Acta Electron Sinica 29: 1873–1877

    Google Scholar 

  • Yang J, Peng H, Zhuang Z (2003a) Research of nonlinear blind source separation algorithm based on quantum evolutionary neural network. In: Proceedings of 2nd international conference on machine learning and cybernetics, vol 2, pp 835–840

  • Yang J, Li B, Zhuang Z (2003b) Multi-universe parallel quantum genetic algorithm and its application to blind source separation. In: Proceedings of IEEE international conference on neural networks & signal processing, vol 1, pp 393–398

  • Yang S, Wang M, Jiao L (2004a) A genetic algorithm based on quantum chromosome. In: Proceedings of 7th international conference on signal processing, pp 1622–1625

  • Yang S, Wang M, Jiao L (2004b) A novel quantum evolutionary algorithm and its application. In: Proceedings of IEEE congress on evolutionary computation, pp 820–826

  • Yang S, Wang M, Jiao L (2004c) A quantum particle swarm optimization. In: IEEE congress on evolutionary computation, vol 1, pp 320–324

  • Yang Q, Zhong S, Ding SC (2006) A simple quantum inspired evolutionary algorithm and its application to numerical optimization problems. J Wuhan Univ 52: 21–24

    MATH  MathSciNet  Google Scholar 

  • Yang G, Genghuang Y, Boying W (2008a) Identification of power quality disturbance based on QPSO-ANN. In: Proceedings of the Chinese society of electrical engineering, vol 28, pp 123–129

  • Yang C, Yang H, Deng F (2008b) Quantum-inspired immune evolutionary algorithm based parameter optimization for mixtures of kernels and its application to supervised anomaly IDSs. In: 7th world congress on intelligent control and automation, pp 4568–4573

  • Yang J, Chen Y, Huang H, Tsai S, Hwang R (2009) The estimations of mechanical property of rolled steel bar by using quantum neural network. In: Wang H, Shen Y, Huang T, Zeng Z (eds) Advances in intelligent and soft computing, pp 799–806

  • Yang J, Weng P, Chen Y, Chuang S, Huang H, Hwang R (2010a) Quality identification of the riveting process by QNN Model. In: 1st international conference on pervasive computing signal processing and applications, pp 944–947

  • Yang G, Liu Y, Zhao L, Cui S, Meng Q, Chen H (2010b) Quantum-behaved particle swarm optimization-ANN based identification method for typical power quality disturbance. In: 8th IEEE international conference on control and automation, pp 1103–1108

  • Yang J, Xu Q, Yu C, Lei S (2010c) Study on fault diagnosis of blast furnace based on ICA-QNN. In: 29th Chinese control conference, pp 4014–4018

  • Yang S, Wang M, Jiao L (2010d) Quantum-inspired immune clone algorithm and multiscale Bandelet based image representation. Pattern Recognit Lett Meta-heuristic Intell Based Image Process 31: 1894–1902

    Google Scholar 

  • Yao M, Pan Q, Tao Z (2009) Application of quantum genetic algorithm on breast tumor imaging with microwave. In: Proceedings of the 11th annual conference companion on genetic and evolutionary computation conference, pp 2685–2688

  • Yasin ZM, Rahman TKA, Musirin I, Rahim SRA (2010) Optimal sizing of distributed generation by using quantum-inspired evolutionary programming. In: 4th international conference on power engineering and optimization, pp 468–473

  • Yanguang C, Zhang M, Hao C (2010) A hybrid chaotic quantum evolutionary algorithm. In: IEEE international conference on intelligent computing and intelligent systems, vol 2, pp 771–776

  • Yin Q, Li W, Zhang X, Huo F (2010) Continuous quantum particle swarm optimization and its application to optimization calculation and analysis of energy-saving motor used in beam pumping unit. In: IEEE 5th international conference on bio-inspired computing: theories and applications, pp 1231–1235

  • Yin Q, Li W, Cao J (2010) Continuous quantum immune clonal optimization and its application to calculation and analysis of electromagnetic in induction motor. In: IEEE international conference on intelligent computing and intelligent systems, vol 3, pp 364–368

  • Ykhlef M (2011) A quantum swarm evolutionary algorithm for mining association rules in large databases. J King Saud Univ Comput Inf Sci 23: 1–6

    Google Scholar 

  • You X, Shuai D, Liu S (2006a) Research and implementation of quantum evolution algorithm based on immune theory. In: The 6th world congress on intelligent control and automation, vol 1, pp 3410–3414

  • You X, Liu S, Shuai D (2006b) On improved parallel immune quantum evolutionary algorithm based on learning mechanism. In: 6th international conference on intelligent systems design and applications, vol 1, pp 908–913

  • You X, Liu S, Shuai D (2006c) On parallel immune quantum evolutionary algorithm based on learning mechanism and its convergence. In: Jiao L, Wang L, Gao X-B, Liu J, Wu F (eds) Advances in natural computation, LNCS, vol 4221. Springer, Berlin, pp 903–912

    Google Scholar 

  • You X, Liu S, Shuai D (2007) Quantum evolutionary algorithm based on immune theory for multi-modal function optimization. J Petrochem Univ 9: 45–49

    Google Scholar 

  • You X, Zhang Y, Liu S (2008a) Real-coded quantum evolutionary algorithm based on immune theory for multi-modal optimization problems. In: International conference on computer science and software engineering, vol 1, pp 403–406

  • You X, Liu S, Sun X (2008b) Immune quantum evolutionary algorithm based on chaotic searching technique for global optimization. In: 1st International conference on intelligent networks and intelligent systems, pp 99–102

  • You X, Miao X, Liu S (2009a) Parallel quantum evolutionary algorithm based on chaotic searching technique for multi-modal function optimization. In: ISECS international colloquium on computing, communication, control, and management, vol 3, pp 249–252

  • You X, Miao X, Liu S (2009b) Quantum computing-based ant colony optimization algorithm for TSP. In: 2nd international conference on power electronics and intelligent transportation system, vol 3, pp 359–362

  • Yu S, Chen Y (2007) Electrocardiogram beat classification based on wavelet transformation and probabilistic neural network. Pattern Recognit Lett 28: 1142–1150

    Google Scholar 

  • Yu S, Ma N (2008) Quantum neural network and its application in vehicle classification. In: Proceedings of 4th international conference on natural computation, vol 2, pp 499–503

  • Yu H, Fan J (2008) Parameter optimization based on quantum genetic algorithm for generalized fuzzy entropy thresholding segmentation method. In: 5th international conference on fuzzy systems and knowledge discovery, vol 1, pp 530–534

  • Yu G, Huang Y (2009) T-S fuzzy control of magnetic levitation systems using QEA. In: 4th international conference on innovative computing, information and control, pp 1110–1113

  • Yu Y, Tian Y, Yin Z (2006) Hybrid quantum evolutionary algorithms based on particle swarm theory. In: 1st IEEE conference on industrial electronics and applications, pp 1–7

  • Yue C, Xin L, Kewen X, Chang S (2008) An intelligent diagnosis to type 2 diabetes based on QPSO algorithm and WLS-SVM. In: International symposium on intelligent information technology application workshops, pp 117–121

  • Yu Z, Shuhua L, Shuai F, Di W (2009) A quantum-inspired ant colony optimization for robot coalition formation. In: Proceedings of the 21st annual international conference on Chinese control and decision conference, pp 681–686

  • Yu G, Huang Y, Huang L (2010) T-S fuzzy control for magnetic levitation systems using quantum particle swarm optimization. In: Proceedings of SICE annual conference, pp 48–53

  • Yue TW (1992) A goal-driven neural network approach for combinatorial optimization and invariant pattern recognition. PhD Thesis, Department of Computer Engineering, National Taiwan University, Taiwan

  • Yue TW, Chiang S (2002) Quench, goal-matching and converge—the three-phase reasoning of a Q’tron neural network. In: Proceedings of international conference on artificial and computational intelligence, pp 54–59

  • Yue TW, Chiang S (2005) The semipublic encryption for visual cryptography using q’tron neural networks. In: Webb G, Yu X (eds) Advances in artificial intelligence, LNCS, vol 3339. Springer, Berlin, pp 1253–1261

    Google Scholar 

  • Yue TW, Chiang S (2007) The semipublic encryption for visual cryptography using Q’tron neural networks. J Netw Comput Appl (Netw Inf Secur Comput Intell Approach) 30: 24–41

    Google Scholar 

  • Yue TW, Chen MC (2004) Q’tron neural networks for constraint satisfaction. In: Proceedings of 4th international conference on hybrid intelligent systems, pp 398–403

  • Yue TW, Chen MC (2005) Associativity, auto-reversibility and question-answering on q’tron neural networks. In: Huang D-S, Zhang XP, Huang G-B (eds) Advances in neural networks, LNCS, vol 3644. Springer, Berlin, pp 1023–1034

    Google Scholar 

  • Yue TW, Lee ZC (2002) A goal-driven approach for combinatorial optimization using Q’tron neural networks. In: Proceedings of international conference on artificial and computational intelligence, pp 60–65

  • Yue TW, Lee Z (2006) Sudoku solver by q’tron neural networks. In: Huang D-S, Li K, Irwin GW (eds) Intelligent computing, LNCS, vol 4113. Springer, Berlin, pp 943–952

    Google Scholar 

  • Zak M (1999) Quantum analog computing. Chaos Solitons Fractals 10: 1583–1620

    MathSciNet  Google Scholar 

  • Zak M (2000a) Quantum model of emerging grammars. Chaos Solitons Fractals 11: 2325–2330

    MATH  MathSciNet  Google Scholar 

  • Zak M (2000b) Quantum decision-maker. Inf Sci 128: 199–215

    MATH  MathSciNet  Google Scholar 

  • Zhang X (2008) Quantum-inspired immune evolutionary algorithm. In: International seminar on business and information management, vol 1, pp 323–325

  • Zhang G (2010a) Time-frequency atom decomposition with quantum-inspired evolutionary algorithms. Circuits Syst Signal Process 29: 209–233

    MATH  Google Scholar 

  • Zhang Z (2010b) Quantum-behaved particle swarm optimization algorithm for economic load dispatch of power system. Expert Syst Appl 37: 1800–1803

    Google Scholar 

  • Zhang Q, Che Z (2008) A novel method to train support vector machines for solving quadratic programming tasks. In: Proceedings of the 7th world congress on intelligent control and automation, pp 7917–7921

  • Zhang H, He Z (2009) A method for classifying power quality disturbances based on quantum neural network and evidential fusion. In: Asia-Pacific power and energy engineering conference, pp 1–4

  • Zhang Y, Li X (2010) A quantum-inspired iterated greedy algorithm for permutation flowshops with total flowtime minimization. In: IEEE International conference on systems man and cybernetics, pp 1912–1917

  • Zhang W, Qiu Y (2010) The research of the feature selection method based on the ECE and quantum genetic algorithm. In: 3rd International conference on advanced computer theory and engineering, vol 6, pp V6-193–V6-196

  • Zhang G, Rong H (2007a) Parameter setting of quantum-inspired genetic algorithm based on real observation. In: Yao J, Lingras P, Wu W-Z, Szczuka M, Cercone N, Sleazak D (eds) Rough sets and knowledge technology, LNCS, vol 4481. Springer, Berlin, pp 492–499

    Google Scholar 

  • Zhang G, Rong H (2007b) Quantum-inspired genetic algorithm based time-frequency atom decomposition. In: Shi Y, Albada G, Dongarra J, Sloot P (eds) Computational science, LNCS, vol 4490. Springer, Berlin, pp 243–250

    Google Scholar 

  • Zhang G, Rong H (2007c) Improved quantum-inspired genetic algorithm based time-frequency analysis of radar emitter signals. In: Yao J, Lingras P, Wu W-Z, Szczuka M, Cercone N, Sleazak D (eds) Rough sets and knowledge technology, LNCS, vol 4481. Springer, Berlin, pp 484–491

    Google Scholar 

  • Zhang G, Rong H (2007d) Real-observation quantum-inspired evolutionary algorithm for a class of numerical optimization problems. In: Shi Y, Albada G, Dongarra J, Sloot P (eds) Computational science, LNCS, vol 4490. Springer, Berlin, pp 989–996

    Google Scholar 

  • Zhang G, Jin W, Hu L (2003a) A novel parallel quantum genetic algorithm. In: Proceedings of 4th international conference on parallel and distributed computing, applications and technologies, pp 693–697

  • Zhang G, Gu Y, Hu L, Jin W (2003b) A novel genetic algorithm and its application to digital filter design. In: Proceedings of IEEE intelligent transportation systems, vol 2, pp 1600–1605

  • Zhang G, Liu H, Jin W, Hu L (2003c) Multi-criterion satisfactory optimization method for designing FIR digital filters. In: Proceedings of IEEE international conference on robotics, intelligent systems and signal processing, vol 2, pp 1339–1344

  • Zhang G, Jin W, Jin F (2003d) Multi-criterion satisfactory optimization method for designing IIR digital filters. In: Proceedings of international conference on communication technology, vol 2, pp 1484–1490

  • Zhang G, Jin WD, Hu LZ (2003e) Quantum evolutionary algorithm for multi-objective optimization problems. In: Proceedings of IEEE international symposium on intelligent control, pp 703–708

  • Zhang G, Hu L, Jin W (2004a) Quantum computing based machine learning method and its application in radar emitter signal recognition. In: Torra V, Narukawa Y (eds) Modeling decisions for artificial intelligence, LNCS, vol 3131. Springer, Berlin, pp 92–103

    Google Scholar 

  • Zhang G, Hu L, Jin W (2004b) Resemblance coefficient and a quantum genetic algorithm for feature selection. In: Suzuki E, Arikawa S (eds) Discovery science, LNCS, vol 3245. Springer, Berlin, pp 155–168

    Google Scholar 

  • Zhang G, Li N, Jin W, Hu L (2006) Novel quantum genetic algorithm and its applications. Frontiers Electr Electron Eng China 1: 31–36

    Google Scholar 

  • Zhang G, Gheorghe M, Wu C (2008) A quantum-inspired evolutionary algorithm based on p systems for knapsack problem. Fundam Inf 87: 93–116

    MATH  MathSciNet  Google Scholar 

  • Zhang X, Zhang H, Zhu Y, Liu Y, Yang T, Zhang T (2009a) Using IACO and QPSO to solve spatial clustering with obstacles constraints. In: IEEE international conference on automation and logistics, pp 1699–1704

  • Zhang X, Wu J, Si H, Yang T, Liu Y (2009b) Spatial clustering with obstacles constraints by ant colony optimization and quantum particle swarm optimization. In: International conference on artificial intelligence and computational intelligence, vol 1, pp 154–158

  • Zhang X, Yi H, Cao D, Liu Y, Yang T (2009c) A novel spatial obstructed distance using quantum-behaved particle swarm optimization. In: 2nd international conference on intelligent computation technology and automation, vol 1, pp 233–236

  • Zhang L, Lu Y, Liu J (2010a) Deep web interfaces classification using QCGBP network. In: 5th international conference on computer science and education, pp 457–461

  • Zhang L, Lu Y, Liu J (2010b) Deep web interfaces classification using QCGBP network. In: 5th international conference on computer science and education, pp 457–461

  • Zhang Q, Lei X, Huang X, Zhang A (2010) An improved projection pursuit clustering model and its application based on quantum-behaved PSO. In: 6th international conference on natural computation, vol 5, pp 2581–2585

  • Zhang G (2011) Quantum-inspired evolutionary algorithms: a survey and empirical study. J Heuristics 17: 303–351

    MATH  Google Scholar 

  • Zhao J (2004) Implementing associative memory with quantum neural networks. In: Proceedings of 3rd international conference on machine learning and cybernetics, vol 5, pp 3197–3200

  • Zhao Y, Hu Y (2010) Multilevel maximum entropy threshold selection based on quantum particle swarm optimization. In: 2nd IEEE international conference on information and financial engineering, pp 41–44

  • Zhao W, San Y (2010) Diversity-guided quantum-behaved particle swarm optimization algorithm based on clustering coefficient and characteristic distance. In: 3rd international symposium on systems and control in aeronautics and astronautics, pp 996–999

  • Zhao S, Huang J, Zheng B (2006) Recognition of noisy english letter by quantum back propagation network. In: 8th international conference on signal processing, vol 3. doi:10.1109/ICOSP.2006.345748

  • Zhao Z, Zheng S, Shang J (2007a) A study of cognitive radio decision engine based on quantum genetic algorithm. Acta Physica Sinica 56: 6760–6766

    Google Scholar 

  • Zhao Y, Fang Z, Wang K, Pang H (2007b) Multilevel minimum cross entropy threshold selection based on quantum particle swarm optimization. In: 8th ACIS international conference on software engineering, artificial intelligence, networking, and parallel/distributed computing, pp 65–69

  • Zhao D, Xia K, Wang B, Gao J (2008) An approach to mobile IP routing based on QPSO algorithm. In: Pacific-Asia workshop on computational intelligence and industrial application, pp 667–71

  • Zhao Z, Peng Z, Zheng S, Shang J (2009a) Cognitive radio spectrum allocation using evolutionary algorithms. IEEE Trans Wirel Commun 8: 4421–4425

    Google Scholar 

  • Zhao S, Xu G, Tao T, Liang L (2009b) Real-coded chaotic quantum-inspired genetic algorithm for training of fuzzy neural networks. Comput Math Appl 57: 2009–2015

    Google Scholar 

  • Zhao J, Sun J, Xu W (2009c) Application of online system identification based on improved quantum-behaved particle swarm optimization. In: 2nd international symposium on computational intelligence and design, vol 2, pp 186–189

  • Zhao Y, Peng D, Zhang J, Wu B (2009d) Quantum evolutionary algorithm for capacitated vehicle routing problem. Syst Eng Theory Pract 29: 159–166

    Google Scholar 

  • Zhao J, Sun J, Chen W, Xu W (2009e) Tracking extrema in dynamic environments with quantum-behaved particle swarm optimization. In: Proceedings of the WRI global congress on intelligent systems, vol 2, pp 103–108

  • Zhao J, Sun J, Xu W (2009f) Quantum-behaved particle swarm optimization with normal cloud mutation operator. In: International conference on computational intelligence and software engineering, pp 1–4

  • Zhao J, Sun J, Xu W, Zhou D (2009g) Structure learning of Bayesian networks based on discrete binary quantum-behaved particle swarm optimization algorithm. In: 5th international conference on natural computation, vol 6, pp 86–90

  • Zhao X, Sun J, Xu W (2010a) Application of quantum-behaved particle swarm optimization in parameter estimation of option pricing. In: 9th international symposium on distributed computing and applications to business engineering and science, pp 10–12

  • Zhou D, Sun J, Xu W (2010b) An advanced quantum-behaved particle swarm optimization algorithm utilizing cooperative strategy. In: 3rd international workshop on advanced computational intelligence, pp 344–349

  • Zheng X, Li Q (2010) Quantum-behaved particle swarm optimization algorithm with inverse-proportional inertia weight. In: International conference on computer design and applications, vol 2, pp V2-280–V2-283

  • Zheng T, Yamashiro M (2010) Minimizing total flow time in flow shop scheduling by a quantum-inspired swarm evolutionary algorithm. In: International conference on electronics and information engineering, vol 1, pp V1-351–V1-355

  • Zhong Q, Yao M, Jiang W (2010) Quantum fuzzy particle swarm optimization algorithm for image clustering. In: International conference on image analysis and signal processing, pp 276–279

  • Zhou J (2003) Automatic detection of premature ventricular contraction using quantum neural networks. In: Proceedings 3rd IEEE symposium on bioinformatics and bioengineering. pp 169–173

  • Zhou R (2007) Quantum probability distribution network. In: Huang DS, Heutte L, Loog M (eds) Advanced intelligent computing theories and applications. With aspects of theoretical and methodological issues, LNCS, vol 4681. Springer, Berlin, Heidelberg, pp 25–33

  • Zhou R (2008) Quantum gate network based on adiabatic theorem. In: 4th international conference on natural computation, vol 3, pp 510–514

  • Zhou S, Sun Z (2005) A new approach belonging to EDAs: quantum-inspired genetic algorithm with only one chromosome. In: Wang L, Chen K, Ong Y (eds) Advances in natural computation, LNCS, vol 3612. Springer, Berlin, pp 141–150

    Google Scholar 

  • Zhou R, Ding Q (2007) Quantum M-P neural network. Int J Theor Phys 46: 3209–3215

    MATH  Google Scholar 

  • Zhou W, Zurada JM (2009) A class of discrete time recurrent neural networks with multivalued neurons. Neurocomput (Financial Eng Comput Ambient Intell (IWANN 2007) 72: 3782–3788

    Google Scholar 

  • Zhou J, Gan Q, Krzyzak A, Suen CY (1999a) Recognition of handwritten numerals by quantum neural network with fuzzy features. Int J Document Anal Recognit 2: 30–36

    Google Scholar 

  • Zhou J, Gan Q, Krzyzak A, Suen CY (1999b) Quantum neural network in recognition of handwritten numerals. In: Lee S-W (ed) Advances in handwriting recognition. World Scientific, Singapore, pp 368–377

    Google Scholar 

  • Zhou J, Krzyzak A, Suen CY (2002) Verification—a method of enhancing the recognizers of isolated and touching handwritten numerals. Pattern Recognit 35: 1179–1189

    MATH  Google Scholar 

  • Zhou W, Zhou C, Huang Y, Wang Y (2005) Analysis of gene expression data: application of quantum-inspired evolutionary algorithm to minimum sum-of-squares clustering. In: Ślęzak D (eds) Proceedings of 10th international conference on rough sets, fuzzy sets, data mining, and granular computing, LNAI, vol 3642. Springer, Berlin, pp 383–391

    Google Scholar 

  • Zhou R, Zhou L, Jiang N, Ding Q (2006a) Dynamic analysis and Application of QANN. In: Proceedings of 1st international multi-symposiums on computer and computational sciences, vol 2. pp 347–351

  • Zhou R, Qin L, Jiang N (2006) Quantum perceptron network. In: Kollias S, Stafylopatis A, Duch W, Oja E (eds) Artificial neural networks, LNCS, vol 4131. Springer, Berlin, pp 651–657

    Google Scholar 

  • Zhou R, Zheng H, Jiang N, Ding Q (2006c) Self-organizing quantum neural network. In: Proceedings of international joint conference on neural networks, pp 1067–1072

  • Zhou W, Zhou C, Liu G, Lv H, Liang Y (2006d) An improved quantum-inspired evolutionary algorithm for clustering gene expression data. In: Liu GR, Tan VBC, Han X (eds) Computational methods. Springer, Netherlands, pp 1351–1356

    Google Scholar 

  • Zhou R, Cao Y, Yang S, Xu X (2007a) Quantum storage network. In: Proceedings of 3rd international conference on natural computation, vol 1. pp 261–264

  • Zhou D, Sun J, Xu W (2007b) Polygonal approximation of curves using binary quantum-behaved particle swarm optimization. J Comput Appl 27: 2030–2032

    Google Scholar 

  • Zhou L, Yang H, Liu C (2008) QPSO-based hyper-parameters selection for LS-SVM regression. In: 4th international conference on natural computation, vol 2, p 130

  • Zhou S, Chen Q, Wang X (2010) Deep quantum networks for classification. In: 20th International conference on international conference on pattern recognition, pp 2885–2888

  • Zhu D, Chen E (2006) A quantum neural networks fault diagnosis algorithm for rotating machinery. In: Proceedings of CSEE, vol 26. pp 132–136

  • Zhu K, Jiang M (2010) Quantum artificial fish swarm algorithm. In: 8th world congress on intelligent control and automation, pp 1–5

  • Zhu D, Sang Q (2006) A fault diagnosis algorithm for the photovoltaic radar electronic equipment based on quantum neural networks. Acta Electron Sinica 34: 573–576

    Google Scholar 

  • Zhu D, Wu R (2007) A multi-layer quantum neural networks recognition system for handwritten digital recognition. In: 3rd international conference on natural computation

  • Zhu M, Pu Y, Jin W, Hu LZ (2006) A time-frequency atom approach to radar emitter signal feature extraction, In: Proceeding of the IEEE international conference on communications, circuits and systems, vol 1, pp 615–619

  • Zhu M, Pu Y, Jin W, Hu LZ (2007a) A novel feature extraction approach for radar emitter signals. In: Proceedings of 2nd IEEE conference on industrial electronics and applications, pp 1785–1789

  • Zhu M, Jin WD, Pu YW, Hu LZ (2007b) Classification of radar emitter signals based on the feature of time-frequency atoms. In: Proceedings of international conference on wavelet analysis and pattern recognition, pp 1232–1236

  • Zhu X, Gui Y, Gao X (2008) A novel multi-subpopulation quantum genetic algorithm. In: Proceedings of 7th international conference on machine learning and cybernetics, pp 3530–3534

  • Zhu H, Zhao X, Zhong Y (2009) Feature selection method combined optimized document frequency with improved RBF network. In: Huang R, Yang Q, Pei J, Gama JO, Meng X, Li X (eds) Advanced data mining and applications, LNCS, vol 5678. Springer, Berlin, pp 796–803

    Google Scholar 

  • Zhu K, Jiang M, Cheng Y (2010) Niche artificial fish swarm algorithm based on quantum theory. In: IEEE 10th international conference on signal processing, pp 1425–1428

  • Zou B, Li H, Zhang L (2010) POLSAR image classification using BP neural network based on quantum clonal evolutionary algorithm. In: IEEE international geoscience and remote sensing symposium, pp 1573–1576

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Manju, A., Nigam, M.J. Applications of quantum inspired computational intelligence: a survey. Artif Intell Rev 42, 79–156 (2014). https://doi.org/10.1007/s10462-012-9330-6

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  • DOI: https://doi.org/10.1007/s10462-012-9330-6

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