Abstract
This paper presents an improved quantum dialogue protocol based on the HHL algorithm. In this protocol, Alice and Bob want to transmit their classical information to each other. Combining the HHL algorithm and quantum linear equation ensures that eavesdroppers cannot steal the data of communicators. In addition, communicators will connect come HHL quantum circuit constructed in this scheme with the swap test circuit to calculate the solution rather than directly measuring the result, which can improve the solution speed. Security analysis shows that this scheme is more secure than other general quantum dialogue schemes, and it can realize information protection in extreme cases, with good security and higher transmission efficiency.
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References
Bennett, C.H., Brassard, G., Crépeau, C., Jozsa, R., Peres, A., Wootters, W.K.: Teleporting an unknown quantum state via dual classical and einstein-podolsky-rosen channels. Phys. Rev. Lett. 70(13), 1895–1899 (1993)
Bennett, C.H., Brassard, G.: Quantum cryptography: Public key distribution and coin tossing. Theoretical Computer Science, 7–11 (2014)
Liu, B., Xia, S., Xiao, D., Huang, W., Xu, B., Li, Y.: Decoy-state method for quantum-key-distribution-based quantum private query. Sci. China Phys. Mech. Astron. 65(4), 240312 (2022)
Bera, S., Gupta, S., Majumdar, A.S.: Device-Independent Quantum Key Distribution Using Random Quantum States. Quantum Information Processing, 109 (2023). arXiv:2205.07464 [quant-ph]
She, L.-G., Zhang, C.-M.: Reference-frame-independent quantum key distribution with modified coherent states. Quantum Information Processing 21(5), 161 (2022)
Nie, Y.-F., Zhang, C.-M.: Afterpulse analysis for reference-frame-independent quantum key distribution. Quant. Inf. Process. 21(9): 340 (2022)
Sheng, Y.-B., Zhou, L., Long, G.-L.: One-step quantum secure direct communication. Sci. Bull. 4, 367–374 (2022)
Lan Zhou, Y.-B.S.: One-step device-independent quantum secure direct communication. Sci. China Phys. Mech. Astron. 65(5), 250311 (2022)
Liu, X., Li, Z., Luo, D., Huang, C., Ma, D., Geng, M., Wang, J., Zhang, Z., Wei, K.: Practical decoy-state quantum secure direct communication. Science China (012), 064 (2021)
Liu, X., Luo, D., Lin, G., Chen, Z., Huang, C., Li, S., Zhang, C., Zhang, Z., Wei, K.: Fiber-based quantum secure direct communication without active polarization compensation. Sci. China Phys. Mech. Astron. 65(12), 120311 (2022)
Jia-Wei Ying, Lan Zhou, Wei Zhong, and Yu-Bo Sheng: Measurement-device-independent one-step quantum secure direct communication. Chinese Phys. B (12), 120303 (2022)
Zhou, L., Xu, B.-W., Zhong, W., Sheng, Y.-B.: Device-independent quantum secure direct communication with single photon sources. Phys. Rev. Appl. (1) (2023). arXiv:2303.15858 [quant-ph]
Zhang, Z.J., Man, Z.X.: Secure direct bidirectional communication protocol using the Einstein-Podolsky-Rosen pair block. arXiv:quant-ph/0403215 (2004)
Zhang, Z.J., Man, Z.X.: Secure Bidirectional Communication Protocol without Quantum Channel. arXiv:quant-ph/0403217 (2004)
An, N.B.: Quantum dialogue. arXiv e-prints, arXiv:quant-ph/0406130 (2004)
Han, K.-Q., Zhou, L., Zhong, W., Sheng, Y.-B.: Measurement-device-independent quantum dialogue based on hyperentanglement. Quant. Inf. Process. (9), 280 (2021)
Basak, J., Maitra, A., Maitra, S.: Improved and practical proposal for measurement device independent quantum dialogue. Quant. Inf. Proces. (11), 361 (2021)
Liu, B.-X., Liang, X.-Q.: Novel controlled quantum dialogue protocols without information leakage 61(3), 51
Liu, F., Zhang, X., Xu, P.A., He, Z.X., Ma, H.Y.: A quantum dialogue protocol in discrete-time quantum walk based on hyperentangled states. Int. J. Theor. Phys. 59(11), 3491–3507 (2020)
Gong, L., Tian, C., Li, J., Zou, X.: Quantum network dialogue protocol based on continuous-variable GHZ states. Quant. Inf. Process. (12), 331 (2018)
Zhou, N.-R., Li, J.-F., Yu, Z.-B., Gong, L.-H., Farouk, A.: New quantum dialogue protocol based on continuous-variable two-mode squeezed vacuum states. Quantum Information Processing (1), 4 (2017)
Zhang, M.-H., Cao, Z.-W., He, C., Qi, M., Peng, J.-Y.: Quantum dialogue protocol with continuous-variable single-mode squeezed states. Quant. Inf. Process. (3), 83 (2019)
Yang, Y.-G., Gao, S., Zhou, Y.-H., Shi, W.-M.: New secure quantum dialogue protocols over collective noisy channels. Int. J. Theor. Phys. J. Orig. Res. Rev. Theor. Phys. Relat. Math., Dedicat. Unif. Phys. 58(9), 2810–2822 (2019)
Yin, A., He, K., Fan, P.: Quantum dialogue protocol based on Grover’s search algorithms. Modern Phys. Lett. A (21), 1950169 (2019)
Das, N., Paul, G.: Two efficient measurement device independent quantum dialogue protocols 18(7), 2050038
Pan, H.-M.: Semi-Quantum Dialogue with Bell Entangled States. Int. J. Theor. Phys. 1364–1371 (2020)
Harrow, A.W., Hassidim, A., Lloyd, S.: Quantum algorithm for linear systems of equations. Phys. Rev. Lett. 103(15), 150502–150502 (2009)
Cao, Y., Daskin, A., Frankel, S., Kais, S.: Quantum circuit design for solving linear systems of equations. Mol. Phys. 110(15/16), 1675–1680 (2012)
Morrell, J. Hector Jose, Zaman, A., Wong, H.Y.: Step-by-step hhl algorithm walk through to enhance the understanding of critical quantum computing concepts. arXiv e-prints, arXiv:2108.09004 (2021)
Morrell, J. Hector Jose, Zaman, A., Wong, H.Y.: Step-by-Step HHL Algorithm Walkthrough to Enhance the Understanding of Critical Quantum Computing Concepts. arXiv e-prints, arXiv:2108.09004 (2021)
Lopez Alarcon, S., Merkel, C., Hoffnagle, M., Ly, S., Pozas-Kerstjens, A.: Accelerating the training of single-layer binary neural networks using the hhl quantum algorithm. arXiv e-prints, arXiv:2210.12707 (2022)
Zhang, M., Dong, L., Zeng, Y., Cao, N.: Improved circuit implementation of the HHL algorithm and its simulations on QISKIT. Sci. Rep. (1), 13287 (2022)
Kang, M.-S., Heo, J., Choi, S.-G., Moon, S., Han, S.-W.: Implementation of SWAP test for two unknown states in photons via cross-Kerr nonlinearities under decoherence effect. Sci. Rep. , 6167 (2019)
Huang, X., Lv, Y., Cheng, W., Hou, M., Zhang, S.-b.: Quantum private comparison of arbitrary single qubit states based on swap test. Chinese Phys. B 31(4), 10 (2022)
Li, P., Wang, B.: Quantum neural networks model based on swap test and phase estimation. Neural Netw. 130, 152–164 (2020)
Ye, Tian-Yu.: Quantum secure dialogue with quantum encryption. Commun. Theor. Phys. 62(3), 338–342 (2014)
Cabello, A.: Quantum key distribution in the Holevo limit. Phys. Rev. Lett. 26, 5635–5638 (2000)
Ai, Z., Yin, A.: Controlled and Authenticated Quantum Dialogue Protocol Based on Grover’s Algorithm. Int. J. Theor. Phys. (11), 261 (2022)
Yin-Ju, L.: Quantum dialogue protocol based on bell entangled states and single photons. Int. J. Theor. Phys. 60(10), 3815–3821 (2021)
Acknowledgements
This work was supported in part by the National Natural Science Foundation of China (62172060), Sichuan Science and Technology Program (2022YFG0316,2023ZHCG0004), and National Key R &D Plan (2022YFB3304303).
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Yang, X., Li, D., Zhou, J. et al. Research on quantum dialogue protocol based on the HHL algorithm. Quantum Inf Process 22, 340 (2023). https://doi.org/10.1007/s11128-023-04048-4
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DOI: https://doi.org/10.1007/s11128-023-04048-4