Optimal eavesdropping in quantum cryptography. I. Information bound and optimal strategy

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 56, Issue 2, 1997, Pages 1163-1172

  Fuchs, Christopher A ^a   Gisin, Nicolas ^b   Griffiths, Robert B ^c   Niu, Chi Sheng ^c   Peres, Asher ^d  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

^b UNIVERSITY OF GENEVA   (Switzerland)

^c CARNEGIE MELLON UNIVERSITY   (United States)

^d UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 5344222062     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.56.1163     Document Type: Article

References (30)

1. C. H. Bennett and G. Brassard, in Proceedings of the IEEE International Conference on Computer, Systems, and Signal Processing, Bangalore, India (IEEE, New York, 1984), pp. 175–179.
2. C. H. Bennett, F. Bessette, G. Brassard, L. Salvail, and J. Smolin, J. Crypto. 5, 3 (1992).
3. A. K. Ekert, B. Huttner, G. M. Palma, and A. Peres, Phys. Rev. A 50, 1047 (1994).PLRAAN
4. A. Ekert and B. Huttner, J. Mod. Opt. 41, 2455 (1994).JMOPEW
5. N. Lütkenhaus, Phys. Rev. A 54, 97 (1996).PLRAAN
6. A. Peres, Quantum Theory: Concepts and Methods (Kluwer, Dordrecht, 1993), p. 282.
7. N. Gisin and B. Huttner, Phys. Lett. A 228, 13 (1997).PYLAAG
8. C.-S. Niu and R. B. Griffiths (unpublished).
9. Q. A. Turchette, C. J. Hood, W. Lange, H. Mabuchi, and H. J. Kimble, Phys. Rev. Lett. 75, 4710 (1995); PRLTAO
10. C. Monroe, D. M. Meekhof, B. E. King, W. M. Itano, and D. J. Wineland, 75, 4714 (1995).
11. R. B. Griffiths and C.-S. Niu, following paper, Phys. Rev. A 56, 1173 (1997).PLRAAN
12. D. Mayers, in Advances in Cryptology – CRYPTO ’96, edited by N. Koblitz (Springer, Berlin, 1996).
13. D. Deutsch, A. Ekert, R. Jozsa, C. Macchiavello, S. Popescu, and A. Sanpera, Phys. Rev. Lett. 77, 2818 (1996).PRLTAO
14. E. Biham and T. Mor, Phys. Rev. Lett. 78, 2256 (1997); PRLTAO
15. see also E. Biham and T. Mor, Report No. . Recently it has been pointed out to us that Eq. (4) in that work contains an eavesdropping stategy that happens to achieve the bound in our Eq. (65). However, Biham and Mor did not study the optimality issue in their work.
16. J. I. Cirac and N. Gisin, Phys. Lett. A 229, 1 (1997).PYLAAG
17. C. A. Fuchs and A. Peres, Phys. Rev. A 53, 2038 (1996).PLRAAN
18. C. H. Bennett, G. Brassard, and N. D. Mermin, Phys. Rev. Lett. 68, 557 (1992).PRLTAO
19. A. K. Ekert, Phys. Rev. Lett. 67, 661 (1991).PRLTAO
20. C. A. Fuchs, Report No. .
21. G. H. Hardy, J. E. Littlewood, and G. Pólya, Inequalities (Cambridge University Press, Cambridge, England, 1952), p. 89.
22. S. L. Braunstein, A. Mann, and M. Revzen, Phys. Rev. Lett. 68, 3259 (1992).PRLTAO
23. C. W. Helstrom, Quantum Detection and Estimation Theory (Academic, New York, 1976).
24. C. A. Fuchs and C. M. Caves, Phys. Rev. Lett. 73, 3047 (1994).PRLTAO
25. C. H. Bennett, Phys. Rev. Lett. 68, 3121 (1992).PRLTAO
26. L. B. Levitin, in Workshop on Physics and Computation: Phys Comp ’92, edited by D. Matzke (IEEE Computer Society Press, Los Alamitos, CA, 1993).
27. U. M. Maurer, IEEE Trans. Inf. Theory 39, 733 (1993).IETTAW
28. T. M. Cover and J. A. Thomas, Elements of Information Theory (Wiley, New York, 1991).
29. J. F. Clauser, M. A. Horne, A. Shimony, and R. A. Holt, Phys. Rev. Lett. 23, 880 (1969).PRLTAO
30. S. L. Braunstein and A. Mann, Phys. Rev. A 47, 2427 (1993). PLRAAN