Quantum cryptography with finite resources: Unconditional security bound for discrete-variable protocols with one-way postprocessing

Physical Review Letters

Volumn 100, Issue 20, 2008, Pages

  Scarani, Valerio ^a   Renner, Renato ^b  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^b ETH ZURICH   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

INTRUSION DETECTION; NETWORK PROTOCOLS; NETWORK SECURITY; QUANTUM THEORY;

DISCRETE VARIABLE PROTOCOLS; FINETTI THEOREM;

QUANTUM CRYPTOGRAPHY;

EID: 44249110247     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.100.200501     Document Type: Article

References (28)

1. N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, Rev. Mod. Phys. 74, 145 (2002). RMPHAT 0034-6861 10.1103/RevModPhys.74.145
2. M. Duek, N. Lütkenhaus, and M. Hendrych, Progress in Optics, edited by, E. Wolf, (Elsevier, New York, 2007), Vol. 49, p. 381.
3. V. Scarani, H. Bechmann-Pasquinucci, N.J. Cerf, M. Duek, N. Lütkenhaus, and M. Peev, arXiv:0802.4155v1.
4. C.H. Bennett and G. Brassard, Proceedings IEEE Int. Conf. on Computers, Systems and Signal Processing, Bangalore, India (IEEE, New York, 1984), p. 175.
5. A.K. Ekert, Phys. Rev. Lett. 67, 661 (1991). PRLTAO 0031-9007 10.1103/PhysRevLett.67.661
6. H. Inamori, N. Lütkenhaus, and D. Mayers, Eur. Phys. J. D EPJDF6 1434-6060 41, 599 (2007). 10.1140/epjd/e2007-00010-4
7. S. Watanabe, R. Matsumoto, and T. Uyematsu, arXiv:quant-ph/0412070v4;
8. [the finite-key results do not appear in the published version: S. Watanabe R. Matsumoto T. Uyematsu Int. J. Quantum. Inform. 0219-7499 4, 935 (2006)]. 10.1142/S0219749906002316
9. M. Hayashi, Phys. Rev. A 74, 022307 (2006). PLRAAN 1050-2947 10.1103/PhysRevA.74.022307
10. T. Meyer, H. Kampermann, M. Kleinmann, and D. Bruß, Phys. Rev. A 74, 042340 (2006). PLRAAN 1050-2947 10.1103/PhysRevA.74.042340
11. R. König, R. Renner, A. Bariska, and U. Maurer, Phys. Rev. Lett. 98, 140502 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.98.140502
12. M. Hayashi, Phys. Rev. A 76, 012329 (2007). PLRAAN 1050-2947 10.1103/PhysRevA.76.012329
13. J. Hasegawa, arXiv:0705.3081. For Q5% and ε=2-9, they obtained r2% (4100 secret bits from each raw key block of nN2=105bit) instead of the r43% predicted by the asymptotic bound.
14. R. Renner, Ph.D. thesis, ETH No.16242, arXiv:quant-ph/0512258.
15. D. Bruß, Phys. Rev. Lett. 81, 3018 (1998). PRLTAO 0031-9007 10.1103/PhysRevLett.81.3018
16. H. Bechmann-Pasquinucci, and N. Gisin, Phys. Rev. A 59, 4238 (1999). PLRAAN 1050-2947 10.1103/PhysRevA.59.4238
17. R. Renner and R. König, Second Theory of Cryptography Conference TCC, Lecture Notes in Computer Science Vol. 3378 (Springer, New York, 2005), pp. 407-425.
18. M. Ben-Or, M. Horodecki, D.W. Leung, D. Mayers, and J. Oppenheim, Second Theory of Cryptography Conference TCC, Lecture Notes in Computer Science Vol. 3378 (Springer, New York, 2005), p. 386.
19. J.L. Carter and M.N. Wegman, J. Comput. Syst. Sci. 18, 143 (1979); JCSSBM 0022-0000
20. M.N. Wegman and J.L. Carter, J. Comput. Syst. Sci. 22, 265 (1981). JCSSBM 0022-0000 10.1016/0022-0000(81)90033-7
21. I. Devetak and A. Winter, Proc. R. Soc. A PRLAAZ 0080-4630 461, 207 (2005). 10.1098/rspa.2004.1372
22. T.M. Cover and J.A. Thomas, Elements of Information Theory, Wiley Series in Telecommunications (Wiley, New York, 1991).
23. D. Gottesman and H.-K. Lo, IEEE Trans. Inf. Theory 49, 457 (2003). IETTAW 0018-9448 10.1109/TIT.2002.807289
24. B. Kraus, N. Gisin, and R. Renner, Phys. Rev. Lett. 95, 080501 (2005); PRLTAO 0031-9007 10.1103/PhysRevLett.95.080501
25. R. Renner, N. Gisin, and B. Kraus, Phys. Rev. A 72, 012332 (2005). PLRAAN 1050-2947 10.1103/PhysRevA.72.012332
26. R. Renner, Nature Phys. 3, 645 (2007). NPAHAX 1745-2481 10.1038/nphys684
27. H.-K. Lo, H.F. Chau, and M. Ardehali, J. Cryptology 18, 133 (2005). JOCREQ 0933-2790 10.1007/s00145-004-0142-y
28. Communications by O. Gay (idQuantique, Geneva), M. Peev and C. Pacher (ARC Seibersdorf, Vienna), and C. Kurtsiefer (NU Singapore).