Abstract
The original measurement device-independent quantum key distribution is reviewed, and a modified protocol using heralded pair coherent state (HPCS) is proposed to overcome the quantum bit error rate associated with the dark count rate of the detectors in long-distance quantum key distribution. Our simulation indicates that the secure transmission distance can be improved evidently with HPCS owing to the lower probability of vacuum events when compared with weak coherent source scenario, while the secure key rate can be increased with HPCS due to the higher probability of single-photon events when compared with heralded single-photon source scenario. Furthermore, we apply the finite key analysis to the decoy state MDI-QKD with HPCS and obtain a practical key rate.
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Bennet. C.H., Brassard, G.: Quantum cryptography[J]. Proceedings of the IEEE International Conference Computers, Systems and Signal Processing, pp. 175–179. IEEE, New York. (1984)
Shor, P.W., Preskill, J.: Simple proof of security of the BB84 quantum key distribution protocol. Phys. Rev. Lett. 85, 441 (2000)
Mayers, D.: Unconditional security in quantum cryptography. J. ACM 48, 351 (2001)
Gottesman, D., Lo, H.K., Lutkenhaus, N., Preskill, J.: Security of quantum key distribution with imperfect devices. Quantum Inf. Comput. 4, 325–360 (2004)
Braunstein, S.L., Pirandola, S., Życzkowski, K.: Better late than never: information retrieval from black holes. Phys. Rev. Lett. 110, 101301 (2013)
Brassard, G., Lutkenhaus, N., Mor, T., Sanders, B.C.: Limitations on practical quantum cryptography. Phys. Rev. Lett. 85, 1330–1333 (2000)
Sun, S.H., Liang, L.M.: Experimental demonstration of an active phase randomization and monitor module for quantum key distribution. Appl. Phys. Lett. 101, 071107 (2012)
Makarov, V., Skaar, J.: Faked states attack using detector efficiency mismatch on SARG04, phase-time, DPSK, and Ekert protocols. Quantum Inf. Comput. 86, 0622–0635 (2008)
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)
Makarov, V.: Controlling passively-quenched single photon detectors by bright light. New J. Phys. 11, 065003 (2009)
Lo, H.K., Curty, M., Qi, B.: Measurement-device-independent quantum key distribution. Phys. Rev. Lett 108, 130503 (2012)
Braunstein, S.L., Pirandola, S.: Side-channel-free quantum key distribution. Phys. Rev. Lett. 108, 130502 (2012)
Tamaki, K., Lo, H.-K., Fung, C.-H.F., Qi, B.: Phase encoding schemes for measurement-device-independent quantum key distribution with basis-dependent flaw. Phys. Rev. A 85(4), 042307 (2012)
Ma, X.C., Sun, S.H., Jiang, M.S., Gui, M., Liang, L.M.: Gaussian-modulated coherent-state measurement-device-independent quantum key distribution. Phys. Rev. A 89, 042335 (2014)
Zhang, Y.C., Li, Z.Y., Yu, S., Gu, W.Y., Peng, X., Guo, H.: Continuous-variable measurement-device-independent quantum key distribution using squeezed states. Phys. Rev. A 90, 052325 (2014)
Rubenok, A., Slater, J.A., Chan, P., Lucio-Martinez, I., Tittel, W.: Real-world two-photon interference and proof-of-principle quantum key distribution immune to detector attacks. Phys. Rev. Lett. 111, 130501 (2013)
da Silva, T.F., Vitoreti, D., Xavier, G.B., do Amaral, G.C., Temporao, G.P., von der Weid, J.P.: Proof-of-principle demonstration of measurement-device-independent quantum key distribution using polarization qubits. Phys. Rev. A 88, 052303 (2013)
Liu, Y., Chen, T.-Y., Wang, L.-J., Liang, H., Shentu, G.-L., Wang, J., Cui, K., Yin, H.-L., Liu, N.-L., Li, L., et al.: Experimental measurement-device-independent quantum key distribution. Phys. Rev. Lett. 111, 130502 (2013)
Tang, Z., Liao, Z., Xu, F., Qi, B., Qian, L., Lo, H.-K.: Experimental demonstration of polarization encoding measurement-device-independent quantum key distribution. Phys. Rev. Lett. 112(19), 190503 (2014)
Pirandola, S., Ottaviani, C., Spedalieri, G., Weedbrook, C., Braunstein, S.L., Lloyd, S., Gehring, T., Jacobasen, C.S., Andersen, U.L.: High-rate quantum cryptography in untrusted networks. Nat. Photonics 9, 397–402 (2015)
Erven, C., Ma, X.F., Laflamme, R., Weihs, G.: Entangled quantum key distribution with a biased basis choice. New J. Phys. 11, 045025 (2009)
Adachi, Y., Yamamoto, T., Koashi, M., Imoto, N.: Simple and efficient quantum key distribution with parametric down-conversion. Phys. Rev. Lett 99, 180503 (2007)
Horikiri, T., Kobayashi, T.: Decoy state quantum key distribution with a photon number resolved heralded single photon source. Phys. Rev. A 73, 032331 (2006)
Wang, Q., Wang, X.B.: Efficient implementation of the decoy-state measurement-device-independent quantum key distribution with heralded single-photon sources. Phys. Rev. A 88, 052332 (2013)
Zhou, C., Bao, W.S., Chen, W., Li, H.W., Yin, Z.-Q., Wang, Y., Han, Z.F.: Phase-encoded measurement device independent quantum key distribution with practical spontaneous parametric-down-conversion sources. Phys. Rev. A 88, 052333 (2013)
Wang, Q., Wang, X.B.: Simulating of the measurement-device independent quantum key distribution with phase randomized general sources. Sci. Rep. 4, 4612 (2014)
Zhou, C., Bao, W.S., Fu, X.Q.: Decoy-state quantum key distribution for the heralded pair coherent state photon source with intensity fluctuations. Sci. China Inf. Sci. 53(12), 2485–2494 (2010)
Zhu, F., Zhang, C.H., Liu, A.P., Wang, Q.: Enhancing the performance of the measurement-device-independent quantum key distribution with heralded pair-coherent sources. Phys. Lett A. 380, 1408–1413 (2016)
Ma, X.F., Razavi, M.: Alternative schemes for measurement-device-independent quantum key distribution. Phys. Rev. A. 86, 062319 (2012)
Agarwal, G.S.: Generation of pair coherent states and squeezing via the competition of four-wave mixing and amplified spontaneous emission. Phys. Rev. Lett. 57, 1827–1830 (1986)
Curty, M., Xu, F., Cui, W., Lim, C.C.W., Tamaki, K., Lo, H.-K.: Finite-key analysis for measurement-device-independent quantum key distribution. Nat. Commun. 5, 3732 (2014)
Acknowledgments
The authors thank S.H. Sun for many helpful advices. This work is supported by the National Natural Science Foundation of China (Grant No. 61106068).
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Chen, D., Shang-Hong, Z. & Lei, S. Measurement device-independent quantum key distribution with heralded pair coherent state. Quantum Inf Process 15, 4253–4263 (2016). https://doi.org/10.1007/s11128-016-1393-x
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DOI: https://doi.org/10.1007/s11128-016-1393-x