Abstract
Even though unconditional security of B92 quantum key distribution (QKD) system is based on the assumption of perfect positive-operator-valued measures, practical B92 systems only utilize two projective measurements. Unfortunately, such implementation may degrade the security of the B92 QKD system due to Eve’s potential attack exploiting the imperfection of system. In this paper, we propose an advanced attack strategy with an unambiguous state discrimination (USD) measurement which makes practical B92 QKD systems insecure even under a lossless channel. In addition, we propose an effective countermeasure against the advanced USD attack model by monitoring double-click events. We further address a fundamental approach to make the B92 QKD system tolerable to attack strategies with USD measurements using a multi-qubit scheme.
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References
Bennett, C.H.: Quantum cryptography using any two nonorthogonal states. Phys. Rev. Lett. 68(21), 3121 (1992)
García-Martínez, M.J., Denisenko, N., Soto, D., Arroyo, D., Orue, A.B., Fernandez, V.: High-speed free-space quantum key distribution system for urban daylight applications. Appl. Opt. 52(14), 3311–3317 (2013)
Tang, X., Ma, L., Mink, A., Nakassis, A., Xu, H., Hershman, B., Bienfang, J.C., Su, D., Boisvert, R.F., Clark, C.W., Williams, C.J.: Experimental study of high speed polarization-coding quantum key distribution with sifted-key rates over Mbit/s. Opt. Expr. 14(6), 2062–2070 (2006)
Dušek, M., Jahma, M., Lütkenhaus, N.: Unambiguous state discrimination in quantum cryptography with weak coherent states. Phys. Rev. A 62(2), 022306 (2000)
Bennett, C.H., Brassard, G.: Quantum cryptography: public key distribution and coin tossing. In: Proceedings of IEEE International Conference on Computers System and Signal Processing, pp. 175–179 (1984)
Almeida, Á.J., Stojanovic, A.D., Paunković, N., Loura, R., Muga, N.J., Silva, N.A., Mateus, P., André, P.S., Pinto, A.N.: Implementation of a two-state quantum bit commitment protocol in optical fibers. J. Opt. 18(1), 015202 (2015)
Yang, Y.G., Sun, S.J., Xu, P., Tian, J.: Flexible protocol for quantum private query based on B92 protocol. Quantum Inf. Proc. 13(3), 805–813 (2014)
Tamaki, K., Koashi, M., Imoto, N.: Security of the Bennett 1992 quantum-key distribution protocol against individual attack over a realistic channel. Phys. Rev. A 67(3), 032310 (2003)
Nielsen, M.A., Chuang, I.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2002)
Mohseni, M., Steinberg, A.M., Bergou, J.A.: Optical realization of optimal unambiguous discrimination for pure and mixed quantum states. Phys. Rev. Lett. 93(20), 200403 (2004)
Becerra, F.E., Fan, J., Migdall, A.: Implementation of generalized quantum measurements for unambiguous discrimination of multiple non-orthogonal coherent states. Nat. Commun. 4, 2028 (2013)
Vallone, G., Marangon, D.G., Canale, M., Savorgnan, I., Bacco, D., Barbieri, M., Calimani, S., Barbieri, C., Laurenti, N., Villoresi, P.: Adaptive real time selection for quantum key distribution in lossy and turbulent free-space channels. Phys. Rev. A 91(4), 042320 (2015)
Beige, A., Englert, B.G., Kurtsiefer, C., Weinfurter, H.: Secure communication with single-photon two-qubit states. J. Phys. A 35(28), L407 (2002)
Wang, J.D., Wei, Z.J., Zhang, H., Qin, X.J., Liu, X.B., Zhang, Z.M., Liao, C.J., Liu, S.H.: Efficient quantum key distribution via single-photon two-qubit states. J. Phys. B 43(9), 095504 (2010)
Lim, K., Ko, H., Kim, K., Suh, C., Rhee, J.K.: The error tolerance bound for secure multi-qubit QKD against incoherent attack. IEEE J. Sel. Top. Quantum Electron. 21(3), 1–9 (2015)
Ivanovic, I.D.: How to differentiate between non-orthogonal states. Phys. Lett. A 123(6), 257–259 (1987)
Dieks, D.: Overlap and distinguishability of quantum states. Phys. Lett. A 126(5–6), 303–306 (1988)
Peres, A.: How to differentiate between non-orthogonal states. Phys. Lett. A 128(1–2), 19 (1988)
Ma, X., Qi, B., Zhao, Y., Lo, H.K.: Practical decoy state for quantum key distribution. Phys. Rev. A 72(1), 012326 (2005)
Gobby, C., Yuan, Z.L., Shields, A.J.: Quantum key distribution over 122 km of standard telecom fiber. Appl. Phys. Lett. 84(19), 3762–3764 (2004)
Acknowledgements
This work was supported by Electronics and Telecommunications Research Institute (ETRI) grant funded by the Korean government. (Development of preliminary technologies for transceiver key components and system control in polarization-based free-space quantum key distribution.)
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Ko, H., Choi, BS., Choe, JS. et al. Advanced unambiguous state discrimination attack and countermeasure strategy in a practical B92 QKD system. Quantum Inf Process 17, 17 (2018). https://doi.org/10.1007/s11128-017-1784-7
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DOI: https://doi.org/10.1007/s11128-017-1784-7