Upper bound on the secret key rate distillable from effective quantum correlations with imperfect detectors

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 73, Issue 1, 2006, Pages

  Moroder, Tobias ^a   Curty, Marcos ^a   Lütkenhaus, Norbert ^a  

^a UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ACOUSTIC NOISE; NETWORK PROTOCOLS;

IMPERFECT DEVICES; QUANTUM CORRELATIONS; SECRET KEY RATE;

QUANTUM THEORY;

EID: 33144469654     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.73.012311     Document Type: Article

References (41)

1. S. Wiesner, SIGACT News SIGNDM 0163-5700 10.1145/1008908.1008920 15, 78 (1983).
2. C. H. Bennett and G. Brassard, Proceedings of the IEEE International Conference on Computers, Systems and Signal Processing, Bangalore, India (IEEE, New York, 1984), p. 175.
3. G. S. Vernam, J. Am. Inst. Electr. Eng. JAIEAH 0095-9804 45, 109 (1926).
4. N. Lütkenhaus, Appl. Phys. B: Lasers Opt. APBOEM 0946-2171 10.1007/s003400050825 69, 395 (1999).
5. C. H. Bennett, G. Brassard, and N. D. Mermin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.68.557 68, 557 (1992).
6. M. Curty, O. Gühne, M. Lewenstein, and N. Lütkenhaus, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.022306 71, 022306 (2005).
7. M. Curty, M. Lewenstein, and N. Lütkenhaus, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.217903 92, 217903 (2004).
8. N. Gisin and S. Wolf, Proceedings of CRYPTO 2000, Lecture Notes in Computer Science Vol. 1880 (Springer, New York, 2000), p. 482.
9. M. Horodecki, P. Horodecki, and R. Horodecki, in Quantum Information: An Introduction to Basic Theoretical Concepts and Experiments, edited by, G. Alber, (Springer, Heidelberg, 2001), p. 151;
10. K. Eckert, O. Gühne, F. Hulpke, P. Hyllus, J. Korbicz, J. Mompart, D. Bruß, M. Lewenstein, and A. Sanpera, in Quantum Information Processing, edited by, G. Leuchs, and, T. Beth, (Wiley-VCH, Verlag, 2003), p. 79. See also 2nd ed. (2005).
11. K. Horodecki, M. Horodecki, P. Horodecki, and J. Oppenheim, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.160502 94, 160502 (2005).
12. V. Vedral and M. B. Plenio, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.57.1619 57, 1619 (1998).
13. C. H. Bennett, D. P. DiVincenzo, J. A. Smolin, and W. K. Wootters, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.54.3824 54, 3824 (1996).
14. K. Audenaert, J. Eisert, E. Jané, M. B. Plenio, S. Virmani, and B. De Moor, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.217902 87, 217902 (2001).
15. M. Christandl, and R. Renner Proceedings of 2004 IEEE International Symposium on Information Theory (IEEE, New York, 2004), p. 135.
16. A. Acín, and N. Gisin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.020501 94, 020501 (2005).
17. M. Christandl, R. Renner, and S. Wolf Proceedings of 2003 IEEE International Symposium on Information (IEEE, New York, 2003), p. 258.
18. D. Bruß, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81. 3018 81, 3018 (1998).
19. U. M. Maurer, IEEE Trans. Inf. Theory IETTAW 0018-9448 10.1109/18.256484 39, 733 (1993).
20. U. Maurer and S. Wolf, IEEE Trans. Inf. Theory IETTAW 0018-9448 10.1109/18.748999 45, 499 (1999).
21. R. Renner, and S. Wolf, Adv. in Crypt. EUROCRYPT'03, edited by, E. Biham, Lecture Notes in Computer Science Vol. 2656 (Springer-Verlag, Berlin, 2003), 562.
22. V. Vedral, M. B. Plenio, M. A. Rippin, and P. L. Knight, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78.2275 78, 2275 (1997).
23. M. Donald, M. Horodecki, and O. Rudolph, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1495917 43, 4252 (2002).
24. I. Devetak and A. Winter, Proc. R. Soc. London, Ser. A PRLAAZ 1364-5021 10.1098/rspa.2004.1372 461, 207 (2005).
25. M. Lewenstein and A. Sanpera, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.2261 80, 2261 (1997).
26. S. Karnas and M. Lewenstein, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/34/35/318 34, 6919 (2001).
27. N. Z. Shor, Soviet J. Circuits Syst. Sci. 25, 1 (1987).
28. J. B. Lasserre, SIAM J. Optim. SJOPE8 1052-6234 10.1137/S1052623400366802 11, 796 (2001).
29. P. A. Parrilo, Ph.D. thesis, California Institute of Technology, Pasadena, 2000 (unpublished).
30. J. Eisert, P. Hyllus, O. Gühne, and M. Curty, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.062317 70, 062317 (2004).
31. B. Yurke, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.32.311 32, 311 (1985).
32. H. F. Chau, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.060302 66, 060302 (R) (2002).
33. H. K. Lo, H. F. C. Chau, and M. Ardehali, J. Cryptology JOCREQ 0933-2790 10.1007/s00145-004-0142-y 18, 133 (2005).
34. L. Vandenberghe and S. Boyd, SIAM Rev. SIREAD 0036-1445 10.1137/1038003 38, 49 (1996);
35. C. Helmberg, Eur. J. Oper. Res. EJORDT 0377-2217 10.1016/S0377-2217(01) 00143-6 137, 461 (2002).
36. D. Henrion and J. B. Lasserre, ACM Trans. Math. Softw. ACMSCU 0098-3500 10.1145/779359.779363 29, 165 (2003);
37. See also the web page www.laas.fr/~henrion/software/gloptipoly/ gloptipoly.html
38. J. F. Sturm, Optim. Methods Software OMSOE2 1055-6788 11, 625 (1999);
39. See also the documentation of the software on the web page sedumi.mcmaster.ca
40. A. Peres, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.1413 77, 1413 (1996);
41. M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(96)00706-2 223, 1 (1996).