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Optical Quadruple Toffoli and Fredkin Gate Using SLM and Savart Plate

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Computational Intelligence, Communications, and Business Analytics (CICBA 2017)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 775))

Abstract

Reversible computing not only reflects a fundamental law of physics, but also offers potential to achieve zero dissipation by preventing entropy loss during computation. With the demand of time, reversible logic is becoming more and more prominent to deal with modern technology. In optical computation the multi-valued logic system is the most important area where trinary and quadruple valued logic systems are demanding their uniqueness in handling big data. In this paper we have proposed the optical quadruple Toffoli and Fredkin gate using Spatial Light Modulator (SLM) and Savart Plate for realization. SLM and Savart Plate can play a significant role in the field of ultra fast optical signal processing.

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References

  1. Patel, K.S.V., Gurumurthy, K.S.: Arithmetic operation in multi valued logic. Int. J. VLSI Des. Commun. Syst. (VLSICS) 1(1), 13–23 (2010)

    Google Scholar 

  2. Chattopadhyay, T., Roy, J.N.: All-optical conversion scheme: binary to quaternary and quaternary to binary number. Opt. Laser Technol. 41(3), 289–294 (2009)

    Article  Google Scholar 

  3. Lohmann, A.W.: Polarization and optical logic. Appl. Opt. 25, 1594–1597 (1986)

    Article  Google Scholar 

  4. Avizienis, A.: Signed-digit number representation for fast parallel arithmetic. IRE Trans. Electron. Comput. 10, 389–400 (1961)

    Article  MathSciNet  Google Scholar 

  5. Drake, B.L., Bocker, R.P., Lasher, M.E., Patterson, R.H., Miceli, W.J.: Photonic computing using the modified-signed-digit number representation. Opt. Eng. 25, 38–43 (1986)

    Article  Google Scholar 

  6. Drake, B.L., Bocker, R.P., Lasher, M.E., Henderson, T.B.: Modified signed-digit addition and subtraction using optical symbolic substitution. Appl. Opt. 25(15), 2456–2457 (1986)

    Article  Google Scholar 

  7. Cherri, A.K., Karim, M.A.: Modified signed digit arithmetic using an efficient symbolic substitution. Appl. Opt. 27(18), 3824–3827 (1988)

    Article  Google Scholar 

  8. Datta, A.K., Basuray, A., Mukhopadhyay, S.: Arithmetic operations in optical computations using a modified trinary number system. Opt. Lett. 14, 426–428 (1989)

    Article  Google Scholar 

  9. Lukasiewicz, J.: O logice trojwartosciowej. Ruch Filozoficny, vol. 5, pp. 169–171 (1920)

    Google Scholar 

  10. Ghosh, A.K., Bhattacharya, A., Raul, M., Basuray, A.: Trinary Arithmetic and Logic unit (TALU) using Savart Plate and Spatial Light Modulator (SLM) suitable for optical computation in multivalued logic. Opt. Laser Technol. 44(5), 1583–1592 (2012)

    Article  Google Scholar 

  11. Ghosh, A.K., Bhattacharya, A., Basuray, A.: Quadruple - valued logic system using Savart Plate and Spatial Light Modulator (SLM) and it’s applications. J. Comput. Electron. 11(4), 405–413 (2012)

    Article  Google Scholar 

  12. Maity, G.K., Maity, S.P., Roy, J.N.: Design of all-optical reversible TOAD-based Feynman and Toffoli Gate. In: International Conference on Advanced Computing & Communication Technologies (ACCT12), Rohtak (India) (2012)

    Google Scholar 

  13. Taraphdar, C., Chattopadhyay, T., Roy, J.N.: Mach-Zehnder interferometer-based all-optical reversible logic gate. Opt. Laser Technol. 42(2), 249–259 (2010)

    Article  Google Scholar 

  14. Fredkin, E., Toffoli, T.: Conservative logic. Int. J. Theoret. Phys. 21, 219–253 (1982)

    Article  MathSciNet  MATH  Google Scholar 

  15. Toffoli, T.: Reversible computing. In: Automata, Languages and Programming, pp. 632–644 (1980)

    Google Scholar 

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Author information

Authors and Affiliations

  1. Department of Applied Electronics and Instrumentation Engineering, Netaji Subhash Engineering College, Techno City, Garia, Kolkata, 700152, India

    Animesh Bhattacharya & Amal K. Ghosh

  2. Department of Electronics and Communication Engineering, Netaji Subhash Engineering College, Techno City, Garia, Kolkata, 700152, India

    Goutam K. Maity

Authors
  1. Animesh Bhattacharya
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  2. Goutam K. Maity
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  3. Amal K. Ghosh
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Corresponding author

Correspondence to Goutam K. Maity .

Editor information

Editors and Affiliations

  1. Department of Computer Science and Engineering, University of Kalyani, Kalyani, West Bengal, India

    J. K. Mandal

  2. Department of Computer and System Sciences, Visva Bharati University, Bolpur Santiniketan, West Bengal, India

    Paramartha Dutta

  3. Department of Information Technology, Calcutta Business School, Kolkata, India

    Somnath Mukhopadhyay

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Bhattacharya, A., Maity, G.K., Ghosh, A.K. (2017). Optical Quadruple Toffoli and Fredkin Gate Using SLM and Savart Plate. In: Mandal, J., Dutta, P., Mukhopadhyay, S. (eds) Computational Intelligence, Communications, and Business Analytics. CICBA 2017. Communications in Computer and Information Science, vol 775. Springer, Singapore. https://doi.org/10.1007/978-981-10-6427-2_23

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  • DOI: https://doi.org/10.1007/978-981-10-6427-2_23

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-6426-5

  • Online ISBN: 978-981-10-6427-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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