Volume of the set of separable states. II

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 60, Issue 5, 1999, Pages 3496-3507

  Życzkowski, Karol ^a  

^a JAGIELLONIAN UNIVERSITY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001226716     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.60.3496     Document Type: Article

References (53)

1. K. Życzkowski, P. Horodecki, A. Sanpera, and M. Lewenstein, Phys. Rev. A 58, 883 (1998).
2. A. Peres, Phys. Rev. Lett. 76, 1413 (1996).
3. M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Lett. A 223, 1 (1996).
4. G. Vidal and R. Tarrach, Phys. Rev. A 59, 141 (1999).
5. P. Slater, e-print quant-ph/9806089.
6. P. Slater, e-print quant-ph/9810026.
7. P. Horodecki, Phys. Lett. A 232, 333 (1997).
8. M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Rev. Lett. 80, 5239 (1998).
9. P. Horodecki, M. Horodecki, and R. Horodecki, Phys. Rev. Lett. 82, 1056 (1999).
10. D. P. Di Vincenzo, T. Mor, P. W. Shor, J. A. Smolin, and B. M. Terhal, e-print quant-ph/9808030.
11. L. Linden and S. Popescu, Phys. Rev. A 59, 137 (1999).
12. C. H. Bennett, D. P. Di Vincenzo, J. Smolin, and W. K. Wootters, Phys. Rev. A 54, 3814 (1996).
13. S. Hill and W. K. Wootters, Phys. Rev. Lett. 78, 5022 (1997).
14. W. K. Wootters, Phys. Rev. Lett. 80, 2245 (1998).
15. R. A. Fisher, Proc. R. Soc. Edinburgh 50, 205 (1930).
16. P. C. Mahalonobis, Proc. Natl. Inst. Sci. India 12, 49 (1936).
17. B. R. Frieden, Probability, Statistical Optics and Data Testing (Springer-Verlag, Berlin, 1991).
18. L. L. Cavalli-Sforza and A. W. F. Edwards, Evolution (Lawrence, Kans.) 21, 550 (1967).
19. B. S. Clarke, J. Am. Stat. Assoc. 91, 173 (1996).
20. V. Balasubramanian, Neural Comput. 9, 349 (1997).
21. M. L. Mehta, Random Matrices, 2nd ed. (Academic Press, New York, 1991).
22. M. Poźniak, K. Życzkowski, and M. Kuś, J. Phys. A 31, 1059 (1998.
23. M. PoźniakK. ŻyczkowskiM. KuśIn this paper a misprint occurred in the algorithm for generating random matrices typical of CUE. The corrected version (the indices in Appendix B changed according to (Formula presented) can be found in the lanl archives, chao-dyn/9707006.
24. L. J. Boya, M. Byrd, M. Mims, and E. C. G. Sudarshan, e-print quant-ph/9810084.
25. R. F. Werner, Phys. Rev. A 40, 4277 (1989).
26. A. Sanpera, R. Tarrach, and G. Vidal, Phys. Rev. A 58, 826 (1998).
27. J. Smolin (private communication).
28. R. Horodecki, P. Horodecki, and M. Horodecki, Phys. Lett. A 210, 377 (1996).
29. S. L. Braunstein, C. M. Caves, R. Jozsa, N. Linden, S. Popescu, and R. Schack, Phys. Rev. Lett. 83, 1054(1999).
30. C. H. Bennett, H. J. Bernstein, S. Popescu, and B. Schumacher, Phys. Rev. A 53, 2046 (1996).
31. V. Vedral, M. B. Plenio, M. A. Rippin, and P. L. Knight, Phys. Rev. Lett. 78, 2275 (1997).
32. S. Popescu and D. Rohrlich, Phys. Rev. A 56, R3319 (1997).
33. V. Vedral, M. B. Plenio, K. Jacobs, and P. L. Knight, Phys. Rev. A 56, 4452 (1997).
34. V. Vedral and M. B. Plenio, Phys. Rev. A 57, 1619 (1998).
35. M. Lewenstein and A. Sanpera, Phys. Rev. Lett. 80, 2261 (1998).
36. J. Eisert and M. B. Plenio, J. Mod. Opt. 46, 145 (1999).
37. G. Vidal, e-print quant-ph/9807077.
38. E. M. Rains, e-print quant-ph/9809078.
39. C. Witte and M. Trucks, Phys. Lett. A 257, 14 (1999).
40. T. Opatrny and G. Kurizki, e-print quant-ph/9811090.
41. A. Uhlmann, Rep. Math. Phys. 9, 273 (1976).
42. K. Życzkowski and M. Kuś, J. Phys. A 27, 4235 (1994).
43. A. Uhlmann, e-print quant-ph/9704017.
44. D. Petz and C. Sudár, J. Math. Phys. 37, 2662 (1996).
45. P. Slater, e-print quant-ph/9904101.
46. M. J. W. Hall, Phys. Lett. A 242, 123 (1998).
47. P. Slater (private communication).
48. P. Horodecki (private communication).
49. M. Lewenstein, J. I. Cirac, and S. Karnas, e-print quant-ph/9903012.
50. P. Horodecki and K. Życzkowski (unpublished).
51. K. Życzkowski and G. Lenz, Z. Phys. B 82, 299 (1991).
52. K. Życzkowski and M. Kuś, Phys. Rev. E 53, 319 (1996;).
53. G. Vidal (private communication).