Skip to main content
Top
Published in: Quantum Information Processing 6/2016

01-06-2016

The statistical fluctuation analysis for the measurement-device-independent quantum key distribution with heralded single-photon sources

Authors: Xing-Yu Zhou, Chun-Hui Zhang, Guang-Can Guo, Qin Wang

Published in: Quantum Information Processing | Issue 6/2016

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

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.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Footnotes
1
Here the value of the coefficienct \(\gamma \) is dependent on \(\varepsilon \), e.g., \({\gamma }=5.3\) when \(\varepsilon =10^{-7}\), see Ref. [22]
 
Literature
1.
go back to reference 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) 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)
2.
go back to reference Lo, H.K., Chau, H.F.: Unconditional security of quantum key distribution over arbitrarily long distances. Science 283, 2050 (1999)ADSCrossRef Lo, H.K., Chau, H.F.: Unconditional security of quantum key distribution over arbitrarily long distances. Science 283, 2050 (1999)ADSCrossRef
3.
go back to reference Shor, P.W., Preskill, J.: Simple proof of security of the BB84 quantum key distribution protocol. Phys. Rev. Lett. 85, 441 (2000)ADSCrossRef Shor, P.W., Preskill, J.: Simple proof of security of the BB84 quantum key distribution protocol. Phys. Rev. Lett. 85, 441 (2000)ADSCrossRef
5.
go back to reference Brassard, G., Lütkenhaus, N., Mor, T., Sanders, B.C.: Limitations on practical quantum cryptography. Phys. Rev. Lett. 85, 1330 (2000)ADSCrossRefMATH Brassard, G., Lütkenhaus, N., Mor, T., Sanders, B.C.: Limitations on practical quantum cryptography. Phys. Rev. Lett. 85, 1330 (2000)ADSCrossRefMATH
6.
go back to reference Lütkenhaus, N.: Security against individual attacks for realistic quantum key distribution. Phys. Rev. A 61, 052304 (2000)ADSCrossRef Lütkenhaus, N.: Security against individual attacks for realistic quantum key distribution. Phys. Rev. A 61, 052304 (2000)ADSCrossRef
7.
go back to reference 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)CrossRef 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)CrossRef
8.
go back to reference Hwang, W.Y.: Quantum key distribution with high loss: toward global secure communication. Phys. Rev. Lett. 91, 057901 (2003)ADSCrossRef Hwang, W.Y.: Quantum key distribution with high loss: toward global secure communication. Phys. Rev. Lett. 91, 057901 (2003)ADSCrossRef
9.
go back to reference Wang, X.B.: Beating the photon-number-splitting attack in practical quantum cryptography. Phys. Rev. Lett. 94, 230503 (2005)ADSCrossRef Wang, X.B.: Beating the photon-number-splitting attack in practical quantum cryptography. Phys. Rev. Lett. 94, 230503 (2005)ADSCrossRef
10.
go back to reference Lo, H.K., Ma, X.F., Chen, K.: Decoy state quantum key distribution. Phys. Rev. Lett. 94, 230504 (2005)ADSCrossRef Lo, H.K., Ma, X.F., Chen, K.: Decoy state quantum key distribution. Phys. Rev. Lett. 94, 230504 (2005)ADSCrossRef
11.
go back to reference Ma, X.F., Qi, B., Zhao, Y., Lo, H.K.: Practical decoy state for quantum key distribution. Phys. Rev. A 72, 012326 (2005)ADSCrossRef Ma, X.F., Qi, B., Zhao, Y., Lo, H.K.: Practical decoy state for quantum key distribution. Phys. Rev. A 72, 012326 (2005)ADSCrossRef
12.
go back to reference Braunstein, S.L., Pirandola, S.: Side-channel-free quantum key distribution. Phys. Rev. Lett. 108, 130502 (2012)ADSCrossRef Braunstein, S.L., Pirandola, S.: Side-channel-free quantum key distribution. Phys. Rev. Lett. 108, 130502 (2012)ADSCrossRef
13.
go back to reference Lo, H.K., Curty, M., Qi, B.: Measurement-device-independent quantum key distribution. Phys. Rev. Lett. 108, 130503 (2012)ADSCrossRef Lo, H.K., Curty, M., Qi, B.: Measurement-device-independent quantum key distribution. Phys. Rev. Lett. 108, 130503 (2012)ADSCrossRef
14.
go back to reference Wang, X.B.: Measurement-device-independent quantum key distribution. Phys. Rev. A 87, 012320 (2013)ADSCrossRef Wang, X.B.: Measurement-device-independent quantum key distribution. Phys. Rev. A 87, 012320 (2013)ADSCrossRef
15.
go back to reference 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)ADSCrossRef 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)ADSCrossRef
16.
go back to reference Wang, Q., Wang, X.B.: Simulating of the measurement-device independent quantum key distribution with phase randomized general sources. Sci. Rep. 4, 04612 (2014)ADS Wang, Q., Wang, X.B.: Simulating of the measurement-device independent quantum key distribution with phase randomized general sources. Sci. Rep. 4, 04612 (2014)ADS
17.
go back to reference Curty, M., Xu, F., Cui, W., et al.: Finite-key analysis for measurement-device-independent quantum key distribution. Nat. Commun. 5, 3732 (2014)ADSCrossRef Curty, M., Xu, F., Cui, W., et al.: Finite-key analysis for measurement-device-independent quantum key distribution. Nat. Commun. 5, 3732 (2014)ADSCrossRef
18.
go back to reference 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)ADSCrossRef 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)ADSCrossRef
19.
go back to reference Liu, Y., Chen, T.Y., Wang, L.J., et al.: Experimental measurement-device-independent quantum key distribution. Phys. Rev. Lett. 111, 130502 (2013)ADSCrossRef Liu, Y., Chen, T.Y., Wang, L.J., et al.: Experimental measurement-device-independent quantum key distribution. Phys. Rev. Lett. 111, 130502 (2013)ADSCrossRef
20.
go back to reference 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)ADSCrossRef 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)ADSCrossRef
21.
go back to reference 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)ADSCrossRef 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)ADSCrossRef
22.
go back to reference 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)ADSCrossRef 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)ADSCrossRef
23.
go back to reference 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)ADSCrossRef 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)ADSCrossRef
24.
go back to reference Zhou, Y.H., Yu, Z.W., Wang, X.B.: Making the decoy-state measurement-device-independent quantum key distribution practically useful, arXiv:1502.01262 Zhou, Y.H., Yu, Z.W., Wang, X.B.: Making the decoy-state measurement-device-independent quantum key distribution practically useful, arXiv:​1502.​01262
25.
go back to reference 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)CrossRef 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)CrossRef
26.
go back to reference 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)ADSMathSciNetCrossRefMATH 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)ADSMathSciNetCrossRefMATH
27.
go back to reference 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)MathSciNetCrossRefMATH 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)MathSciNetCrossRefMATH
28.
go back to reference 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)ADSCrossRef 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)ADSCrossRef
29.
go back to reference 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)ADSCrossRef 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)ADSCrossRef
30.
go back to reference 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)MathSciNet 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)MathSciNet
31.
go back to reference 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)ADSCrossRef 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)ADSCrossRef
32.
go back to reference 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)ADSCrossRef 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)ADSCrossRef
Metadata
Title
The statistical fluctuation analysis for the measurement-device-independent quantum key distribution with heralded single-photon sources
Authors
Xing-Yu Zhou
Chun-Hui Zhang
Guang-Can Guo
Qin Wang
Publication date
01-06-2016
Publisher
Springer US
Published in
Quantum Information Processing / Issue 6/2016
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-016-1279-y

Other articles of this Issue 6/2016

Quantum Information Processing 6/2016 Go to the issue