Information transmission through a noisy quantum channel

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 57, Issue 6, 1998, Pages 4153-4175

  Barnum, Howard ^a,b   Nielsen, M A ^a,b   Schumacher, Benjamin ^c  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b UNIVERSITY OF NEW MEXICO   (United States)

^c KENYON COLLEGE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; DATA PROCESSING; DECODING; INFORMATION THEORY; MARKOV PROCESSES; MATRIX ALGEBRA; PROBABILITY; QUANTUM THEORY; RANDOM PROCESSES; SIGNAL ENCODING;

INFORMATION TRANSMISSION; QUANTUM INFORMATION THEORY; SHANNON CLASSICAL THEORY;

CHANNEL CAPACITY;

EID: 0032099694     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.57.4153     Document Type: Article

References (32)

1. C. E. Shannon, Bell Syst. Tech. J. 27, 379 (1948).BSTJAN
2. C. E. Shannon and W. Weaver, The Mathematical Theory of Communication (University of Illinois Press, Urbana, 1949).
3. T. M. Cover and J. A. Thomas, Elements of Information Theory (Wiley, New York, 1991).
4. B. W. Schumacher, Phys. Rev. A 54, 2614 (1996).PLRAAN
5. B. W. Schumacher and M. A. Nielsen, Phys. Rev. A 54, 2629 (1996).PLRAAN
6. C. H. Bennett, D. P. DiVincenzo, J. A. Smolin, and W. K. Wootters, Phys. Rev. A 54, 3824 (1996).PLRAAN
7. S. Lloyd, Phys. Rev. A. 56, 1613 (1997).PLRAAN
8. C. H. Bennett, D. P. DiVincenzo, and J. Smolin, Phys. Rev. Lett. 78, 3217 (1997).PRLTAO
9. C. H. Bennett et al, Phys. Rev. Lett. 70, 1895 (1993).PRLTAO
10. M. A. Nielsen and C. M. Caves, Phys. Rev. A 55, 2547 (1997).PLRAAN
11. K. Kraus, States, Effects, and Operations (Springer-Verlag, Berlin, 1983).
12. K. Hellwig and K. Kraus, Commun. Math. Phys. 16, 142 (1970).CMPHAY
13. M.-D. Choi, Linear Algebr. Appl. 10, 285 (1975).LAAPAW
14. M. A. Nielsen, C. M. Caves, B. Schumacher, and H. Barnum, Proc. R. Soc. London, Ser. A 454, 277 (1998).PRLAAZ
15. A. Peres, Quantum Theory: Concepts and Methods (Kluwer Academic, Dordrecht, 1993).
16. C. Cohen-Tannoudji, B. Diu, and F. Laloë, Quantum Mechanics (Wiley, New York, 1977).
17. R. I. G. Hughes, The Structure and Interpretation of Quantum Mechanics (Harvard University Press, Cambridge, 1989).
18. G. Lüders, Ann. Phys. (Leipzig) 8, 323 (1951).ANPYA2
19. R. Jozsa, J. Mod. Opt. 41, 2315 (1995).JMOPEW
20. E. Knill and R. Laflamme, Phys. Rev. A 55, 900 (1997).PLRAAN
21. M. A. Nielsen, e-print quant-ph/9606012.
22. A. Wehrl, Rev. Mod. Phys. 50, 221 (1978).RMPHAT
23. F. J. MacWilliams and N. J. A. Sloane, The Theory of Error Correcting Codes (North-Holland, New York, 1977).
24. J. Preskill, Proc. R. Soc. London, Ser. A 454, 385 (1998).PRLAAZ
25. P. W. Shor and J. A. Smolin, e-print quant-ph/9604006.
26. D. P. DiVincenzo, P. W. Shor, and J. A. Smolin, Phys. Rev. A 57, 830 (1998).PLRAAN
27. B. Schumacher, Phys. Rev. A 51, 2738 (1995).PLRAAN
28. R. Jozsa and B. Schumacher, J. Mod. Opt. 41, 2343 (1994).JMOPEW
29. H. Barnum, C. A. Fuchs, R. Jozsa, and B. Schumacher, Phys. Rev. A 54, 4707 (1996).PLRAAN
30. J. F. Poyatos, J. I. Cirac, and P. Zoller, Phys. Rev. Lett. 78, 390 (1997).PRLTAO
31. I. L. Chuang and M. A. Nielsen, J. Mod. Opt. 44, 2455 (1997).JMOPEW
32. M. Marcus and H. Minc, A Survey of Matrix Theory and Matrix Inequalities (Dover, New York, 1992).