Teleportation and entanglement distillation in the presence of correlation among bipartite mixed states

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 68, Issue 1, 2003, Pages

  Hamada, Mitsuru ^a  

^a JAPAN SCIENCE AND TECHNOLOGY AGENCY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC STABILITY; CORRELATION THEORY; ERROR CORRECTION; MARKOV PROCESSES; PROBABILITY;

BIPARTITE MIXED STATES; ENTANGLEMENT DISTILLATION; QUANTUM CODES; TELEPORTATION;

QUANTUM THEORY;

EID: 0141684714     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (27)

1. C. H. Bennett, D. P. DiVincenzo, J. A. Smolin, and W. K. Wootters, Phys. Rev. A 54, 3824 (1996).
2. C. H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Perez, and W. K. Wootters, Phys. Rev. Lett. 70, 1895 (1993).
3. G. Bowen and S. Bose, Phys. Rev. Lett. 87, 267901 (2001).
4. D. Gottesman, Phys. Rev. A 54, 1862 (1996).
5. A. R. Calderbank, E. M. Rains, P. W. Shor, and N. J. A. Sloane, Phys. Rev. Lett. 78, 405 (1997).
6. M. Hamada, Phys. Rev. A 65, 052305 (2002).
7. M. Hamada, IEEE Trans. Inf. Theory 48, 2547 (2002).
8. H. Hamada, J. Math. Phys. 43, 4382 (2002).
9. M. Hamada, e-print quant-ph/0207113.
10. E. M. Rains, e-print quant-ph/9809082.
11. E. M. Rains, IEEE Trans. Inf. Theory 47, 2921 (2001).
12. C. H. Bennett, G. Brassard, S. Popescu, B. Schumacher, J. A. Smolin, and W. K. Wootters, Phys. Rev. Lett. 76, 722 (1996).
13. H. Barnum, E. Knill, and M. A. Nielsen, IEEE Trans. Inf. Theory 46, 1317 (2000).
14. B. Schumacher, Phys. Rev. A 54, 2614 (1996).
15. H. Weyl, The Theory of Groups and Quantum Mechanics (Dover, New York, 1950). Translation from the second German edition, 1931.
16. R. F. Werner, J. Phys. A 34, 7081 (2001).
17. J. Schwinger, Proc. Natl. Acad. Sci. U.S.A. 46, 570 (1960).
18. M.-D. Choi, Linear Algebr. Appl. 10, 285 (1975).
19. K. G. H. Vollbrecht and M. M. Wolf, Phys. Rev. A 67, 012303 (2003).
20. E. Knill and R. Laflamme, Phys. Rev. A 55, 900 (1997).
21. K. L. Chung, Markov Chains With Stationary Transition Probabilities, 2nd ed. (Springer, New York, 1967).
22. E. M. Rains, e-print quant-ph/9707002.
23. P. Shor and J. Preskill, Phys. Rev. Lett. 85, 441 (2000).
24. M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Rev. Lett. 85, 433 (2000).
25. C. H. Bennett, P. W. Shor, J. A. Smolin, and A. V. Thapliyal, IEEE Trans. Inf. Theory 48, 2637 (2002).
26. A. S. Holevo, J. Math. Phys. 43, 4326 (2002).
27. Whereas we treat this class of coding schemes for simplicity, theorem 1 below holds true if a more general class (those with encoding maps) is allowed as in [1, 13], which will be clear from the proof.