Probabilistic and information-theoretic interpretation of quantum evolutions

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 70, Issue 2, 2004, Pages

  Oppenheim, J ^a,b   Reznik, B ^c  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b HEBREW UNIVERSITY OF JERUSALEM   (Israel)

^c TEL AVIV UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

CORRELATION METHODS; EIGENVALUES AND EIGENFUNCTIONS; ENTROPY; ERROR CORRECTION; HAMILTONIANS; MATHEMATICAL OPERATORS; MATRIX ALGEBRA; MEASUREMENT THEORY; PROBABILITY DISTRIBUTIONS; QUANTUM CRYPTOGRAPHY; SET THEORY; THEOREM PROVING;

BIPARTITE SYSTEM; ENTANGLED STATE; QUANTUM STATE; UNITARY OPERATORS;

QUANTUM THEORY;

EID: 19544384722     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevA.70.022312     Document Type: Article

References (36)

1. A. Jamiolkowski, Rep. Math. Phys. 3, 275 (1972).
2. M. Choi, Linear Algebr. Appl. 10, 285 (1975).
3. K. Helkwig and K. Kraus, Commun. Math. Phys. 16, 142 (1970).
4. W. Dur and I. Cirac, Phys. Rev. A 64, 012317 (2001).
5. G. Vidal, L. Masanes, and J. Cirac, Phys. Rev. Lett. 88, 047905 (2002).
6. M. Nielson and I. Chuang, Phys. Rev. Lett. 79, 321 (1997).
7. D. Collins, N. Linden, and S. Popescu, Phys. Rev. A 64, 032302 (2001).
8. J. I. Cirac, W. Dur, B. Kraus, and M. Lewnstein, Phys. Rev. Lett. 86, 544 (2001).
9. P. Zanardi, C. Zalka, and L. Faoro, Phys. Rev. A 62, 030301(R) (2000).
10. P. Zanardi, Phys. Rev. A 63, 040304(R) (2001).
11. X. Wang and P. Zanardi, Phys. Rev. A 66, 044303 (2002).
12. R. Werner, e-print quant-ph/0003070.
13. Y. Aharonov, J. Anandan, S. Popescu, and L. Vaidman, Phys. Rev. Lett. 64, 2965 (1990).
14. A. Acin, Phys. Rev. Lett. 87, 177901 (2001).
15. Y. Aharonov and D. Albert, Phys. Rev. D 29, 223 (1984).
16. L. Vaidman, Phys. Rev. A 49, 1473 (1994).
17. J. M. I. Bialynicki-Birula, Commun. Math. Phys. 44, 129 (1975).
18. D. Deutsch, Phys. Rev. Lett. 50, 631 (1983).
19. H. Maassen and J. Uffink, Phys. Rev. Lett. 60, 1103 (1988).
20. B. Schumacher, Phys. Rev. A 51, 2738 (1995).
21. D. Petz and M. Mosonyi, J. Math. Phys. 42, 4857 (2001).
22. F. Hiai and D. Petz, Commun. Math. Phys. 143, 99 (1991).
23. B. Schumacker, Phys. Rev. A 54, 4707 (1996).
24. K. Kraus, States, Effects and Operations: Fundemental Notions in Quantum Theory (Springer-Verlag, Berlin, 1983).
25. D. Aharonov, e-print quant-ph/9910081.
26. J. Oppenheim, M. Horodecki, and R. Horodecki, Phys. Rev. Lett. 90, 010404 (2003).
27. A. Harrow, P. Hayden, and D. Leung, e-print quant-ph/0307221.
28. P. Boykin and V. Roychowdhury, e-print quant-ph/0003059.
29. M. Mosca, A. Tapp, and R. de Wolf, e-print quant-ph/0003101.
30. J. Oppenheim and M. Horodecki, e-print quant-ph/0306161.
31. D. Leung, Quantum Inf. Comput. 2, 13 (2001).
32. W. Dur, G. Vidai, J. I. Cirac, N. Linden, and S. Popescu, Phys. Rev. Lett. 87, 137901 (2001).
33. C. Fuchs, e-print quant-ph/0205039.
34. C. Fuchs, R. Schack, and P. Scudo, e-print quant-ph/0307198.
35. J. Schwinger, Proc. Natl. Acad. Sci. U.S.A. 46, 570 (1960).
36. K. Vollbrecht and R. Werner, e-print quant-ph/9910064.