Skip to main content
Disciplines
Automotive Business IT + Informatics Construction + Real Estate Electrical Engineering + Electronics Energy + Sustainability Insurance + Risk Finance + Banking Management + Leadership Marketing + Sales Mechanical Engineering + Materials
Events
DE
EN
Books
Journals
Topic Page
Marketing
Start single access now
Access for companies
EXTENDED SEARCH
Log in
Top
Quantum Information Processing
Published in: Quantum Information Processing 1/2014

01-01-2014

Asymmetric “4+2” protocol for quantum key distribution with finite resources

Authors: GuoDong Kang, QingPing Zhou, MaoFa Fang, YanLiang Zhang

Published in: Quantum Information Processing | Issue 1/2014

Log in

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

search-config
loading …

Abstract

In this paper, we present an asymmetric “4+2” protocol for quantum key distribution with finite photon pulses. The main work of this paper focuses on the composable security proof for this protocol in a finite-key scenario. Based on the essence security basis of the original “4+2” protocol proposed by Huttner et al. (Phys Rev A 51(3):1863–1869, 1995), we first develop the squashing model for this protocol with the quantum non-demolition measure theory. From this model, against the collective photon-number-splitting attack, we then provide the security proof (formulas of finite-key security bounds) for this protocol. The expected performance of this protocol are also evaluated on a priori reasonable expected values of parameters. Our work shows that the performance we derived is the lower one and it can cover long distances in the lossy channel.
previous article Introduction to Special Issue on quantum cryptography
next article A multiparty error-correcting method for quantum secret sharing

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!

inform now

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!

inform now

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!

inform now
Appendix
Available only for authorised users
Literature
1.
Bennett, C.H., Brassard, G.: Quantum cryptography: Public-key distribution and coin tossing. In: Proceedings IEEE International Conference on Computers, Systems, and Signal Processing, Bangalore, pp. 175–179. IEEE, New York (1984)
2.
Gottesman, D., Lo, H.K., Lütkenhaus, N., Preskill, J.: Security of quantum key distribution with imperfect devices. J. Quantum Inf. Comput. 5, 325–360 (2004)
3.
Lo, H.K., Ma, X.F., Chen, K.: Decoy state quantum key distribution. Phys. Rev. Lett. 94(23), 230504–230507 (2005)
4.
Ma, X.F., Qi, B., Zhao, Y., Lo, H.K.: Practical decoy state for quantum key distribution. Phys. Rev. A 72(1), 012326–012340 (2005)CrossRefADS
5.
Ma, X.F., Fred Fung, C.H., Dupuis, F., Chen, K., Tamaki, K., Lo, H.-K.: Decoy state quantum key distribution with two-way classical post-processing. Phys. Rev. A 74(3), 032330–032345 (2006)CrossRefADS
6.
Wang, X.B.: Secure and efficient decoy-state quantum key distribution with inexact pulse intensities. arXiv.org:quant-ph, 0609081 (2006)
7.
Wang, X.B., Peng, C.Z., Zhang, J., Y.L., Pan, J.W.: General theory of decoy-state quantum cryptography with source errors. Phys. Rev. A 77(4), 042311–042318 (2008)
8.
Wang, X.B., Yang, L., Peng, C.Z., Pan, J.W.: Decoy-state quantum key distribution with both source errors and statistical fluctuations. arXiv.org:quant-ph, 09024660 (2009)
9.
Xu, F.X., Zhang, Y., Zhou, Z., Chen, W., Han, Zf, Guo, G.C.: Experimental demonstration of counteracting imperfect sources in a practical one-way quantum-key-distribution system. Phys. Rev. A 80(6), 062309–062313 (2009)CrossRefADS
10.
Deng, F.G., Long, G.L.: Secure direct communication with a quantum one-time-pad. Phys. Rev. A 69(5), 052319–052322 (2004)CrossRefADS
11.
Deng, F.G., Long, G.L.: Bidirectional quantum key distribution protocol with practical faint laser pulses. Phys. Rev. A 70(1), 012311–012317 (2004)CrossRefADS
12.
Lu, H., Fung, C.-H., Ma, X., Cai, Q-y: Unconditional security proof of a deterministic quantum key distribution with a two-way quantum channel. Phys. Rev. A 84(6), 042344–042355 (2011)CrossRefADS
13.
14.
Koashi, M.: Unconditional security of coherent-state quantum key distribution with a strong phase-reference pulse. Phys. Rev. Lett. 93(12), 120501–120504 (2004)MathSciNetCrossRefADS
15.
Tamaki, K., Lütkenhaus, N., Koashi, M., Batuwantu-dawe, J.: Unconditional security of the Bennett 1992 quantum key-distribution scheme with strong reference pulse. Phys. Rev. A 80(3), 032302–032310 (2009)CrossRefADS
16.
Huttner, B., Imoto, N., Gisin, N., Mor, T.: Quantum cryptography with coherent states. Phys. Rev. A 51(3), 1863–1869 (1995)CrossRefADS
17.
Nielsen, M.A., Chuang, I.L.: Quantum computation and quantum information Cambridge. Cambridge University Press, UK (2000)
18.
19.
Wegman, M.N., Carter, J.L.: New hash functions and their use in authentication and set equality. Comput. Syst. Sci 22(3), 265–279 (1981)MathSciNetCrossRefMATH
20.
Lo, H.K., Chau, H.F., Ardehali, M.: Efficient quantum key distribution. arXiv.org:quant -ph, 9803007 (1998)
21.
Dusek, M., Läutkenhaus, N., Hendrych, M.: Quantum cryptography. Prog. Opt. 49, 381–454 (2006)CrossRef
22.
Derka, R., Buzk, V., Ekert, A.K.: Universal algorithm for optimal estimation of quantum states from finite ensembles via realizable generalized measurement. Phys. Rev. Lett. 80(8), 1571–1575 (1998)MathSciNetCrossRefADSMATH
23.
24.
Tsurumaru, T., Tamaki, K.: Security proof for quantum-key-distribution systems with threshold detectors. Phys. Rev. A 78(3), 032302–032309 (2008)CrossRefADS
25.
Beaudry, N.J., Moroder, T., Lutkenhaus, N.: Squashing models for optical measurements in quantum communication. Phys. Rev. Lett. 101(9), 093601–093604 (2008)CrossRefADS
26.
Mayers, D.: Advances in Cryptology-Proceedings of Crypto. Springer, Berlin (1996)
27.
Inamori, H., Lütkenhaus, N., Mayers, D.: Unconditional security of practical quantum key distribution. Eur. J. Phys. D. 41(3), 599–627 (2007)CrossRefADS
28.
KÄonig, R., Renner, R., Bariska, A., Maurer, U.: Small accessible quantum information does not imply security. Phys. Rev. Lett. 98(14), 140502–140505 (2007)CrossRef
29.
Wang, X.B.: Quantum error correction in spatially correlated quantum noise. Phys. Rev. Lett. 95(23), 230503–230506 (2005)CrossRef
30.
Meyer, T., Kampermann, H., Kleinmann, M., Bru\(\beta \), D.: Finite key analysis for symmetric attacks in quantum key distribution. Phys. Rev. A 74(4), 042340–042348 (2006)
31.
Hayashi, M.: Upper bounds of eavesdropper’s performances in finite-length code with the decoy method. Phys. Rev. A 76(1), 012329–012344 (2007)CrossRefADS
32.
Hasegawa, J., Hayashi, M., Hiroshima, T., Tanaka, A., Tomita, A.: Experimental decoy state quantum key distribution with unconditional security incorporating finite statistics. arXiv.org:quant-ph, 0705.3081 (2007)
33.
Scarani, V., Renner, R.: Quantum cryptography with finite resources: Unconditional security bound for discrete-variable protocols with one-way postprocessing. Phys. Rev. Lett. 100(20), 200501–200504 (2008)CrossRefADS
34.
Scarani, V., Renner, R.: Security bounds for quantum cryptography with finite resources, arXiv.org:quant-ph, 0806.0120 (2008)
35.
Renner, R.: Security of quantum key distribution, PhD thesis, Diss. ETH No. 16242, Int. J. Quant. Inf 61 (2008)
36.
Raymond, Cai, Q.Y., Scarani, V.: Finite-key analysis for practical implementations of quantum key distribution. New. J. Phys. 11(4), 045024 (2009)CrossRef
37.
Kraus, B., Gisin, N., Renner, R.: Lower and upper bounds on the secret-key rate for quantum key distribution protocols using one-way classical communication. Phys. Rev. Lett. 95(8), 080501–080504 (2008)CrossRef
38.
39.
Cover, T.M., Thomas, J.A.: Elements of Information Theory, Wiley Series in Telecommunications. Wiley, New York (1991)CrossRef
40.
Gobby, C., Yuan, Z.L., Shields, A.J.: Quantum key distribution over 122km of standard telecom fiber. Appl. Phys. Lett. 84(19), 3762–3674 (2004)CrossRefADS
41.
Wang, X.B.: Beating the photon-number-splitting attack in practical quantum cryptography. Phys. Rev. Lett. 94(23), 230503–230506 (2008)CrossRef
Metadata
Title
Asymmetric “4+2” protocol for quantum key distribution with finite resources
Authors
GuoDong Kang
QingPing Zhou
MaoFa Fang
YanLiang Zhang
Publication date
01-01-2014
Publisher
Springer US
Published in
Quantum Information Processing / Issue 1/2014
Print ISSN: 1570-0755
Electronic ISSN: 1573-1332
DOI
https://doi.org/10.1007/s11128-013-0684-8

Other articles of this Issue 1/2014

Quantum Information Processing 1/2014 Go to the issue

OriginalPaper

The quantum cryptographic switch

OriginalPaper

Practical quantum all-or-nothing oblivious transfer protocol

OriginalPaper

One-insider attack of quantum secret sharing protocol with collective eavesdropping-check

Editorial

Introduction to Special Issue on quantum cryptography

OriginalPaper

Cheat sensitive quantum bit commitment via pre- and post-selected quantum states

OriginalPaper

Arbitrated quantum signature of classical messages without using authenticated classical channels