Abstract
Semi-quantum protocols that allow some of the users to remain classical are proposed for a large class of problems associated with secure communication and secure multiparty computation. Specifically, first-time semi-quantum protocols are proposed for key agreement, controlled deterministic secure communication and dialogue, and it is shown that the semi-quantum protocols for controlled deterministic secure communication and dialogue can be reduced to semi-quantum protocols for e-commerce and private comparison (socialist millionaire problem), respectively. Complementing with the earlier proposed semi-quantum schemes for key distribution, secret sharing and deterministic secure communication, set of schemes proposed here and subsequent discussions have established that almost every secure communication and computation tasks that can be performed using fully quantum protocols can also be performed in semi-quantum manner. Some of the proposed schemes are completely orthogonal-state-based, and thus, fundamentally different from the existing semi-quantum schemes that are conjugate coding-based. Security, efficiency and applicability of the proposed schemes have been discussed with appropriate importance.
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Bennett, C.H., Brassard, G.: Quantum cryptography: public key distribution and coin tossing. In: Proceedings of the IEEE International Conference on Computers, Systems, and Signal Processing, Bangalore, India, pp. 175–179 (1984)
Pathak, A.: Elements of Quantum Computation and Quantum Communication. CRC Press, Boca Raton (2013)
Ekert, A.K.: Quantum cryptography based on Bell’s theorem. Phys. Rev. Lett. 67, 661 (1991)
Bennett, C.H.: Quantum cryptography using any two nonorthogonal states. Phys. Rev. Lett. 68, 3121 (1992)
Shukla, C., Alam, N., Pathak, A.: Protocols of quantum key agreement solely using Bell states and Bell measurement. Quantum Inf. Process. 13, 2391 (2014)
Boström, K., Felbinger, T.: Deterministic secure direct communication using entanglement. Phys. Rev. Lett. 89, 187902 (2002)
Banerjee, A., Pathak, A.: Maximally efficient protocols for direct secure quantum communication. Phys. Lett. A 376, 2944 (2012)
Shukla, C., Banerjee, A., Pathak, A.: Improved protocols of secure quantum communication using W states. Int. J. Theor. Phys. 52, 1914 (2013)
Long, G., Deng, F., Wang, C., Li, X., Wen, K., Wang, W.: Quantum secure direct communication and deterministic secure quantum communication. Front. Phys. China 2, 251 (2007)
Huang, W., Yang, Y.-H., Jia, H.-Y.: Cryptanalysis and improvement of a quantum communication-based online shopping mechanism. Quantum Inf. Process. 14, 2211–2225 (2015)
An, N.B.: Quantum dialogue. Phys. Lett. A 328, 6 (2004)
Shukla, C., Kothari, V., Banerjee, A., Pathak, A.: On the qroup-theoretic structure of a class of quantum dialogue protocols. Phys. Lett. A 377, 518 (2013)
Wang, H., Zhang, Y.Q., Liu, X.F., Hu, Y.P.: Efficient quantum dialogue using entangled states and entanglement swapping without information leakage. Quantum Info. Process. 15, 2593–2603 (2016)
Banerjee, A., Shukla, C., Thapliyal, K., Pathak, A., Panigrahi, P.K.: Asymmetric quantum dialogue in noisy environment. Quantum Inf. Process. 16, 49 (2017)
Noh, T.G.: Counterfactual quantum cryptography. Phys. Rev. Lett. 103, 230501 (2009)
Goldenberg, L., Vaidman, L.: Quantum cryptography based on orthogonal states. Phys. Rev. Lett. 75, 1239 (1995)
Shukla, C.: Design and analysis of quantum communication protocols. Ph.D. thesis, Jaypee Institute of Information Technology, Sector-62, Noida, India, pp. 1–166 (2015)
Thapliyal, K., Sharma, R.D., Pathak, A.: Orthogonal-state-based and semi-quantum protocols for quantum private comparison in noisy environment. arXiv:1608.00101 (2016)
Boyer, M., Kenigsberg, D., Mor, T.: Quantum key distribution with classical Bob. Phys. Rev. Lett. 99, 140501 (2007)
Boyer, M., Gelles, R., Kenigsberg, D., Mor, T.: Semiquantum key distribution. Phys. Rev. A 79, 032341 (2009)
Zou, X., Qiu, D., Li, L., Wu, L., Li, L.: Semiquantum-key distribution using less than four quantum states. Phys. Rev. A 79, 052312 (2009)
Li, Q., Chan, W.-H., Zhang, S.: Semiquantum key distribution with secure delegated quantum computation. Sci. Rep. 6, 19898 (2016)
Yu, K.-F., Yang, C.-W., Liao, C.-H., Hwang, T.: Authenticated semi-quantum key distribution protocol using Bell states. Quantum Inf. Process. 13, 1457–1465 (2014)
Krawec, W.O.: Mediated semiquantum key distribution. Phys. Rev. A 91, 032323 (2015)
Zhang, X.-Z., Gong, W.-G., Tan, Y.-G., Ren, Z.-Z., Guo, X.-T.: Quantum key distribution series network protocol with m-classical Bobs. Chin. Phys. B 18, 2143–2148 (2009)
Sun, Z.-W., Du, R.-G., Long, D.-Y.: Quantum key distribution with limited classical Bob. Int. J. Quantum Inf. 11, 1350005 (2013)
Nie, Y., Li, Y., Wang, Z.: Semi-quantum information splitting using GHZ-type states. Quantum Inf. process. 12, 437–448 (2013)
Qin, L., Chan, W.H., Long, D.-Y.: Semiquantum secret sharing using entangled states. Phys. Rev. A 82, 022303 (2010)
Li, L., Qui, D., Mateus, P.: Quantum secret sharing with classical Bobs. J. Phys. A Math. Theor. 46, 045304 (2013)
Jason, L., Yang, C.-W., Tsai, C.-W., Hwang, T.: Intercept-resend attacks on semi-quantum secret sharing and the improvements. Int. J. Theor. Phys. 52, 156–162 (2013)
Luo, Y.-P., Hwang, T.: Authenticated semi-quantum direct communication protocols using Bell states. Quantum Inf. Process 15, 947–958 (2016)
Zou, X.-F., Qiu, D.-W.: Three-step semiquantum secure direct communication protocol. Phys. Mech. Astron. 57, 1696–1702 (2014)
Chou, W.-H., Hwang, T., Gu, J.: Semi-quantum private comparison protocol under an almost-dishonest third party. arXiv:1607.07961v2 (2016)
Krawec, W.O.: Security proof of a semi-quantum key distribution protocol. In: Information Theory (ISIT), IEEE International Symposium, pp. 686–690 (2015)
Miyadera, T.: Relation between information and disturbance in quantum key distribution protocol with classical Alice. Int. J. Quantum Inf. 9, 1427–1435 (2011)
Krawec, W.O.: Security proof of a semi-quantum key distribution protocol. In: 2015 IEEE International Symposium on Information Theory (ISIT), pp. 686–690 (2015)
Krawec, W.O.: Security of a semi-quantum protocol where reflections contribute to the secret key. Quantum Inf. Process. 15, 2067–2090 (2016)
Zhang, W., Qiu, D., Zou, X., Mateus, P.: A single-state semi-quantum key distribution protocol and its security proof. arXiv:1612.03087 (2016)
Zhang, W., Qiu, D.: Security of a single-state semi-quantum key distribution protocol. arXiv:1612.03170 (2016)
Chou, Y.-H., Lin, F.-J., Zeng, G.-J.: An efficient novel online shopping mechanism based on quantum communication. Electron. Commer. Res. 14, 349–367 (2014)
Sharma, R.D., Thapliyal, K., Pathak, A.: Quantum sealed-bid auction using a modified scheme for multiparty circular quantum key agreement. Quantum Inf. Process. 16, 169 (2017)
Thapliyal, K., Sharma, R.D., Pathak, A.: Protocols for quantum binary voting. Int. J. Quantum Inf. 15, 1750007 (2017)
Sharma, R.D., De, A.: Quantum voting using single qubits. Indian J. Sci. Technol. 9, 98637 (2016)
Fung, C.-H.F., Qi, B., Tamaki, K., Lo, H.-K.: Phase-remapping attack in practical quantum-key-distribution systems. Phys. Rev. A 75, 032314 (2007)
Zhao, Y., Fung, C.H.F., Qi, B., Chen, C., Lo, H.-K.: Quantum hacking: Experimental demonstration of time-shift attack against practical quantum-key-distribution systems. Phys. Rev. A 78, 042333 (2008)
Lydersen, L., Wiechers, C., Wittmann, C., Elser, D., Skaar, J., Makarov, V.: Hacking commercial quantum cryptography systems by tailored bright illumination. Nat. Photonics 4, 686 (2010)
Boyer, M., Dan, K., Tal, M.: Quantum key distribution with classical Bob. In: Quantum, Nano, and Micro Tech., ICQNM’07. First International Conference, IEEE, p. 10 (2007)
Banerjee, A., Thapliyal, K., Shukla, C., Pathak, A.: Quantum conference. arxiv:1702.00389v1 (2017)
Bennett, C.H., Brassard, G., Robert, J.-M.: Privacy amplification by public discussion. SIAM J. Comput. 17, 210–229 (1988)
Bennett, C.H., et al.: Experimental quantum cryptography. J. Cryp. 5, 3–28 (1992)
Pappu, R., et al.: Physical one-way functions. Science 297, 2026–2030 (2002)
Tomamichel, M., et al.: Tight finite-key analysis for quantum cryptography. Nat. Commun. 3, 634 (2012)
Sharma, R.D., Thapliyal, K., Pathak, A., Pan, A.K., De, A.: Which verification qubits perform best for secure communication in noisy channel? Quantum Inf. Process. 15, 1703–1718 (2016)
Srinatha, N., Omkar, S., Srikanth, R., Banerjee, S., Pathak, A.: The quantum cryptographic switch. Quantum Inf. Process. 13, 59 (2014)
Thapliyal, K., Pathak, A.: Applications of quantum cryptographic switch: various tasks related to controlled quantum communication can be performed using Bell states and permutation of particles. Quantum Inf. Process. 14, 2599 (2015)
Pathak, A.: Efficient protocols for unidirectional and bidirectional controlled deterministic secure quantum communication: different alternative approaches. Quantum Inf. Process. 14, 2195 (2015)
Yu, Z.B., Gong, L.H., Wen, R.H.: Novel multiparty controlled bidirectional quantum secure direct communication based on continuous-variable states. Int. J. Theor. Phys. 55, 1447 (2016)
Cabello, A.: Quantum key distribution in the Holevo limit. Phys. Rev. Lett. 85, 5635 (2000)
Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Informatiom. Cambridge University Press, New Delhi (2008)
Acknowledgements
CS thanks Japan Society for the Promotion of Science (JSPS), Grant-in-Aid for JSPS Fellows no. 15F15015. KT and AP thank Defense Research and Development Organization (DRDO), India for the support provided through the project number ERIP/ER/1403163/M/01/1603.
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Shukla, C., Thapliyal, K. & Pathak, A. Semi-quantum communication: protocols for key agreement, controlled secure direct communication and dialogue. Quantum Inf Process 16, 295 (2017). https://doi.org/10.1007/s11128-017-1736-2
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DOI: https://doi.org/10.1007/s11128-017-1736-2