Abstract
In this paper, we carry out statistical fluctuation analysis for the new proposed measurement-device-independent quantum key distribution with heralded single-photon sources and further compare its performance with the mostly often used light sources, i.e., the weak coherent source. Due to a significantly lower probability for events with two photons present on the same side of the beam splitter in former than in latter, it gives drastically reduced quantum bit error rate in the X basis and can thus show splendid behavior in real-life implementations even when taking statistical fluctuations into account.



Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.Notes
Here the value of the coefficienct \(\gamma \) is dependent on \(\varepsilon \), e.g., \({\gamma }=5.3\) when \(\varepsilon =10^{-7}\), see Ref. [22]
References
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 (IEEE, New York), pp. 175–179 (1984)
Lo, H.K., Chau, H.F.: Unconditional security of quantum key distribution over arbitrarily long distances. Science 283, 2050 (1999)
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)
Brassard, G., Lütkenhaus, N., Mor, T., Sanders, B.C.: Limitations on practical quantum cryptography. Phys. Rev. Lett. 85, 1330 (2000)
Lütkenhaus, N.: Security against individual attacks for realistic quantum key distribution. Phys. Rev. A 61, 052304 (2000)
Lütkenhaus, N., Jahma, M.: Quantum key distribution with realistic states: photon-number statistics in the photon-number splitting attack. New J. Phys. 4, 44.1 (2002)
Hwang, W.Y.: Quantum key distribution with high loss: toward global secure communication. Phys. Rev. Lett. 91, 057901 (2003)
Wang, X.B.: Beating the photon-number-splitting attack in practical quantum cryptography. Phys. Rev. Lett. 94, 230503 (2005)
Lo, H.K., Ma, X.F., Chen, K.: Decoy state quantum key distribution. Phys. Rev. Lett. 94, 230504 (2005)
Ma, X.F., Qi, B., Zhao, Y., Lo, H.K.: Practical decoy state for quantum key distribution. Phys. Rev. A 72, 012326 (2005)
Braunstein, S.L., Pirandola, S.: Side-channel-free quantum key distribution. Phys. Rev. Lett. 108, 130502 (2012)
Lo, H.K., Curty, M., Qi, B.: Measurement-device-independent quantum key distribution. Phys. Rev. Lett. 108, 130503 (2012)
Wang, X.B.: Measurement-device-independent quantum key distribution. Phys. Rev. A 87, 012320 (2013)
Wang, Q., Wang, X.B.: An efficient implementation of the decoy-state measurement-device-independent quantum key distribution with heralded single-photon sources. Phys. Rev. A 88, 052332 (2013)
Wang, Q., Wang, X.B.: Simulating of the measurement-device independent quantum key distribution with phase randomized general sources. Sci. Rep. 4, 04612 (2014)
Curty, M., Xu, F., Cui, W., et al.: Finite-key analysis for measurement-device-independent quantum key distribution. Nat. Commun. 5, 3732 (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)
Liu, Y., Chen, T.Y., Wang, L.J., et al.: Experimental measurement-device-independent quantum key distribution. Phys. Rev. Lett. 111, 130502 (2013)
Yu, Z.W., Zhou, Y.H., Wang, X.B.: Three-intensity decoy-state method for measurement-device-independent quantum key distribution Phys. Phys. Rev. A 88, 062339 (2013)
Xu, F., Qi, B., Liao, Z., Lo, H.K.: Long distance measurement-device-independent quantum key distribution with entangled photon sources. Appl. Phys. Lett. 103, 061101 (2013)
Yu, Z.W., Zhou, Y.H., Wang, X.B.: Statistical fluctuation analysis for measurement-device-independent quantum key distribution with three-intensity decoy-state method Phys. Phys. Rev. A 91, 032318 (2015)
Xu, F., Xu, H., Lo, H.K.: Protocol choice and parameter optimization in decoy-state measurement-device-independent quantum key distribution. Phys. Rev. A 89, 052333 (2014)
Zhou, Y.H., Yu, Z.W., Wang, X.B.: Making the decoy-state measurement-device-independent quantum key distribution practically useful, arXiv:1502.01262
Zhang, C.M., Li, M., Yin, Z.Q., et al.: Decoy-state measurement-device-independent quantum key distribution with mismatched-basis statistics. Sci. China Phys. Mech 58, 590301 (2015)
Zhu, F., Zhou, X.Y., Liu, A.P., Wang, Q.: A new scheme on improving the performance of the quantum key distribution with two-intensity weak coherent light. Quantum Inf. Process. 14, 3773 (2015)
Chen, D., Shang-Hong, Z., Wei-Hu, Z., et al.: Analysis of measurement-device-independent quantum key distribution under asymmetric channel transmittance efficiency. Quantum Inf. Process. 13, 2525 (2014)
Wang, Q., Wang, X.B., Guo, G.C.: Practical decoy-state method in quantum key distribution with a heralded single-photon source. Phys. Rev. A 75, 012312 (2007)
Wang, Q., Karlsson, A.: Performance enhancement of a decoy-state quantum key distribution using a conditionally prepared down-conversion source in the Poisson distribution. Phys. Rev. A 76, 014309 (2007)
Wang, Q., Wang, X.B., Bjork, G., Karlsson, A.: Improved practical decoy state method in quantum key distribution with parametric down-conversion source. Europhys. Lett. 79, 4 (2007)
Wang, Q., Chen, W., Xavier, G., et al.: Experimental decoy-state quantum key distribution with a sub-poissionian heralded single-photon source. Phys. Rev. Lett. 100, 090501 (2008)
Mori, S., Söderholm, J., Namekata, N., Inoue, S.: On the distribution of 1550-nm photon pairs efficiently generated using a periodically poled lithium niobate waveguide. Opt. Commun. 264, 156–162 (2006)
Acknowledgments
We gratefully acknowledge the financial support from the National Natural Science Foundation of China through Grant Nos. 11274178, 11311140250, 61475197, 61590932, the Natural Science Foundation of the Jiangsu Higher Education Institutions through Grant No. 15KJA120002, the Outstanding Youth Project of Jiangsu Province through Grant No. BK20150039 and the Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions Grant No. YX002001.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Zhou, XY., Zhang, CH., Guo, GC. et al. The statistical fluctuation analysis for the measurement-device-independent quantum key distribution with heralded single-photon sources. Quantum Inf Process 15, 2455–2464 (2016). https://doi.org/10.1007/s11128-016-1279-y
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11128-016-1279-y