From limits of quantum operations to multicopy entanglement witnesses and state-spectrum estimation

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 68, Issue 5, 2003, Pages 521011-521016

  Horodecki, Paweł ^a  

^a GDANSK UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; EIGENVALUES AND EIGENFUNCTIONS; ELECTRON TRANSITIONS; MATHEMATICAL OPERATORS; OPTIMIZATION;

LINEAR HERMITIAN MAPS; STRUCTURAL COMPLETELY POSITIVE APPROXIMATION (SCPA);

QUANTUM THEORY;

EID: 0942278545     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (33)

1. H. Bachmann-Pasquinucci, B. Huttner, and N. Gisin, Phys. Lett. A 242, 198 (1998).
2. D.R. Terno, Phys. Rev. A 59, 3320 (1999).
3. T. Mor and D.R. Terno, Phys. Rev. A 60, 4341 (1999).
4. For mixtures of Bell-diagonal states, see T.A. Brunn, C.M. Caves, and R. Schack, Phys. Rev. A 63, 042309 (2001); this can be generalized to any entangled 2⊗2 state, P. Horodecki (unpublished).
5. For mixtures of Bell-diagonal states, see T.A. Brunn, C.M. Caves, and R. Schack, Phys. Rev. A 63, 042309 (2001); this can be generalized to any entangled 2⊗2 state, P. Horodecki (unpublished).
6. R. Jozsa, M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Rev. Lett. 81, 1714 (1998).
7. V. Buzek and M. Hillery, Phys. Rev. A 54, 802 (1996).
8. V. Buzek and M. Hillery, Phys. Rev. Lett. 81, 5003 (1998).
9. R.F. Werner, Phys. Rev. A 58, 1827 (1998).
10. V. Buzek, M. Hillery, and R.F. Werner, Phys. Rev. A 60, 2626 (1999); J. Mod. Opt. 47, 211 (2000).
11. V. Buzek, M. Hillery, and R.F. Werner, Phys. Rev. A 60, 2626 (1999); J. Mod. Opt. 47, 211 (2000).
12. A. Winter, J. Phys. A 34, 7095 (2001).
13. D.K.L. Oi, e-print quant-ph/106035v1.
14. M.D. Bowdney, D.K.L. Oi, A.J. Short, K. Banaszek, and J.A. Jones, Phys. Lett. A 294, 258 (2002).
15. P. Horodecki and A.K. Ekert, Phys. Rev. Lett. 89, 127902 (2002).
16. P. Horodecki, Phys. Rev. Lett. 90, 167901 (2003).
17. R. Horodecki, P. Horodecki, and M. Horodecki, Phys. Lett. A 210, 377 (1996).
18. B.M. Terhal, J. Theor. Comput. Sci. 281, 313 (2002).
19. See, K.G.H. Vollbrecht and MM. Wolf, J. Math. Phys. 43, 4299 (2002).
20. C. Tsallis, S. Lloyd, and M. Baranger, Phys. Rev. A 63, 042104 (2001).
21. M. Keyl and R.F. Werner, Phys. Rev. A 64, 052311 (2001).
22. A.K. Ekert, C.M. Alves, D.L. Oi, M. Horodecki, P. Horodecki, and L.C. Kwek, Phys. Rev. Lett. 88, 047905 (2002).
23. J. Fiurasek, e-print quant-ph/0111107.
24. P. Horodecki, Phys. Lett. A (to be published).
25. R.F. Werner, Phys. Rev. A 40, 4277 (1989).
26. C.J. Isham, N. Linden, and S. Scheckenberg, J. Math. Phys. 35, 6360 (1994).
27. P. Horodecki, Phys. Rev. A 67, 060101(R) (2003).
28. R. Horodecki and P. Horodecki, Phys. Lett. A 194, 147 (1994).
29. R. Alicki and K. Lendi, Quantum Dynamical Semigroups and Applications, Lecture Notes in Physics (Springer, New York, 1987), Vol. 286.
30. C. Tsallis, J. Stat. Phys. 52, 479 (1988); J. Harvda and F. Charvat, Kybernetica 3, 30 (1963); Z. Daroczy, Inf. Control. 16, 36 (1970).
31. C. Tsallis, J. Stat. Phys. 52, 479 (1988); J. Harvda and F. Charvat, Kybernetica 3, 30 (1963); Z. Daroczy, Inf. Control. 16, 36 (1970).
32. C. Tsallis, J. Stat. Phys. 52, 479 (1988); J. Harvda and F. Charvat, Kybernetica 3, 30 (1963); Z. Daroczy, Inf. Control. 16, 36 (1970).
33. R. Horodecki and M. Horodecki, Phys. Rev. A 54, 1838 (1996).