Single-photon quantum key distribution in the presence of loss

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 75, Issue 5, 2007, Pages

  Curty, Marcos ^a,b   Moroder, Tobias ^b,c  

^a UNIVERSITY OF TORONTO   (Canada)

^b UNIVERSITY OF WATERLOO   (Canada)

^c UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL OPERATORS; NETWORK PROTOCOLS; OPTIMIZATION; PROBLEM SOLVING; QUANTUM THEORY;

QUANTUM CHANNELS; QUANTUM KEY DISTRIBUTION PROTOCOLS;

QUANTUM CRYPTOGRAPHY;

EID: 34347330217     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.75.052336     Document Type: Article

References (57)

1. N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.74.145 74, 145 (2002).
2. M. Duek, N. Lütkenhaus, and M. Hendrych, Progress in Optics, edited by, E. Wolf, (Elsevier, New York, in press), Vol. 49.
3. C. H. Bennett, G. Brassard, and N. D. Mermin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.68.557 68, 557 (1992).
4. M. Curty, O. Gühne, M. Lewenstein, and N. Lütkenhaus, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.022306 71, 022306 (2005).
5. D. Gottesman and H.-K. Lo, IEEE Trans. Inf. Theory IETTAW 0018-9448 10.1109/TIT.2002.807289 49, 457 (2003).
6. D. Mayers, Advances in Cryptology-Proceedings of Crypto'96 (Springer, Berlin, 1996), pp. 343-357.
7. P. W. Shor and J. Preskill, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.441 85, 441 (2000).
8. H.-K. Lo, Quantum Inf. Comput. QICUAW 1533-7146 1, 81 (2001).
9. K. Tamaki, M. Koashi, and N. Imoto, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.167904 90, 167904 (2003).
10. F. Grosshans, G. van Assche, J. Wenger, R. Brouri, N. Cerf, and P. Grangier, Nature (London) NATUAS 0028-0836 10.1038/nature01289 421, 238 (2003).
11. M. Heid and N. Lütkenhaus, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.052316 73, 052316 (2006).
12. M. Curty and N. Lütkenhaus, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.042321 69, 042321 (2004).
13. M. Curty, M. Lewenstein, and N. Lütkenhaus, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.217903 92, 217903 (2004).
14. 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
15. 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 second edition, 2005).
16. M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(96)00706-2 223, 1 (1996).
17. B. M. Terhal, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(00)00401- 1 271, 319 (2000).
18. M. Lewenstein, B. Kraus, J. I. Cirac, and P. Horodecki, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.62.052310 62, 052310 (2000).
19. 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.
20. D. Bruß, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81. 3018 81, 3018 (1998).
21. C. H. Bennett, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.68. 3121 68, 3121 (1992).
22. J. Eisert, P. Hyllus, O. Gühne, and M. Curty, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.062317 70, 062317 (2004).
23. A. Peres, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.1413 77, 1413 (1996).
24. L. Vandenberghe and S. Boyd, SIAM Rev. SIREAD 0036-1445 10.1137/1038003 38, 49 (1996).
25. S. Boyd and L. Vandenberghe, Convex Optimization (Cambridge University Press, Cambridge, England, 2004).
26. T. Moroder, M. Curty, and N. Lütkenhaus, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.052301 74, 052301 (2006).
27. A. C. Doherty, P. A. Parrilo, and F. M. Spedalieri, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.187904 88, 187904 (2002).
28. A. C. Doherty, P. A. Parrilo, and F. M. Spedalieri, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.022308 69, 022308 (2004).
29. A. C. Doherty, P. A. Parrilo, and F. M. Spedalieri, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.032333 71, 032333 (2005).
30. B. M. Terhal, A. C. Doherty, and D. Schwab, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.157903 90, 157903 (2003).
31. P. Horodecki and M. Nowakowski, e-print arXiv:quant-ph/0503070.
32. A. Peres, Found. Phys. FNDPA4 0015-9018 12, 1441 (1990).
33. A. Peres, Quantum Theory: Concepts and Methods (Kluwer Academic, Dordrecht, 1993).
34. P. Hyllus and J. Eisert, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/8/4/051 8, 51 (2006).
35. S. L. Woronowicz, Rep. Math. Phys. RMHPBE 0034-4877 10.1016/0034-4877(76) 90038-0 10, 165 (1976).
36. T. Moroder, Diploma thesis, Institut für Theoretische Physik I, Universität Erlangen-Nürnberg, Germany, 2005.
37. K. C. Toh, R. H. Tutuncu, and M. J. Todd, Optim. Methods Software OMSOE2 1055-6788 11, 545 (1999).
38. J. Löfberg, in Proceedings of the CACSD Conference, Taipei, Taiwan, 2004 (unpublished), pp. 284-289.
39. T. Yamamoto, J. Shimamura, S. K. Azdemir, M. Koashi, and N. Imoto, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.040503 95, 040503 (2005).
40. J.-C. Boileau, R. Laflamme, M. Laforest, and C. R. Myers, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.220501 93, 220501 (2004).
41. A. Chefles, Contemp. Phys. CTPHAF 0010-7514 10.1080/00107510010002599 41, 401 (2000).
42. I. D. Ivanovic, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(87) 90222-2 123, 257 (1987).
43. D. Dieks, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(88)90840-7 126, 303 (1988).
44. A. Peres, Phys. Lett. A PYLAAG 0375-9601 10.1016/0375-9601(88)91034-1 128, 19 (1988).
45. M. Duek, M. Jahma, and N. Lütkenhaus, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.62.022306 62, 022306 (2000).
46. K. Tamaki, M. Koashi, and N. Imoto, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.032310 67, 032310 (2003).
47. B. Huttner and A. Ekert, J. Mod. Opt. JMOPEW 0950-0340 41, 2455 (1994).
48. H. Bechmann-Pasquinucci and N. Gisin, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.59.4238 59, 4238 (1999).
49. A. Acín, S. Massar, and S. Pironio, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/8/8/126 8, 126 (2006).
50. C. A. Fuchs, N. Gisin, R. B. Griffiths, C.-S. Niu, and A. Peres, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.56.1163 56, 1163 (1997).
51. J. I. Cirac and N. Gisin, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(97)00176-X 229, 1 (1997).
52. B. Huttner, N. Imoto, N. Gisin, and T. Mor, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.51.1863 51, 1863 (1995).
53. S. N. Molotkov and S. S. Nazin, JETP Lett. JTPLA2 0021-3640 10.1134/1.567104 63, 924 (1996).
54. S. N. Molotkov, JETP JTPHES 1063-7761 10.1134/1.558658 87, 288 (1998).
55. B.-S. Shi, Y.-K. Jiang, and G.-C. Guo, Appl. Phys. B: Lasers Opt. APBOEM 0946-2171 10.1007/s003400050067 70, 415 (2000).
56. Chi-Hang Fred Fung and H.-K. Lo, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.042342 74, 042342 (2006).
57. J. M. Renes, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.052314 70, 052314 (2004).