Information-theoretic interpretation of quantum error-correcting codes

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 56, Issue 3, 1997, Pages 1721-1732

  Cerf, Nicolas J ^a,b   Cleve, Richard ^b,c  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c UNIVERSITY OF CALGARY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; ERROR CORRECTION; MATHEMATICAL MODELS; SET THEORY;

QUANTUM ENTROPY; QUANTUM ERROR CORRECTING CODES; SHANNON THEORY;

QUANTUM THEORY;

EID: 0031232927     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.56.1721     Document Type: Article

References (29)

1. S. Lloyd, Science 261, 1569 (1993).SCIEAS
2. D. P. DiVincenzo, Science 270, 255 (1995).SCIEAS
3. A. Ekert and R. Jozsa, Rev. Mod. Phys. 68, 733 (1996).RMPHAT
4. P. W. Shor, Phys. Rev. A 52, 2493 (1995).PLRAAN
5. A. Steane, Phys. Rev. Lett. 77, 793 (1996).PRLTAO
6. A. R. Calderbank and P. W. Shor, Phys. Rev. A 54, 1098 (1996).PLRAAN
7. A. Ekert and C. Macchiavello, Phys. Rev. Lett. 77, 2585 (1996).PRLTAO
8. R. Laflamme, C. Miquel, J. P. Paz, and W. H. Zurek, Phys. Rev. Lett. 77, 198 (1996).PRLTAO
9. C. H. Bennett, D. P. Divincenzo, J. A. Smolin, and W. K. Wootters, Phys. Rev. A 54, 3824 (1996).PLRAAN
10. L. Vaidman, L. Goldenberg, and S. Wiesner, Phys. Rev. A 54, R1745 (1996).PLRAAN
11. E. Knill and R. Laflamme, Phys. Rev. A 55, 900 (1997).PLRAAN
12. A. R. Calderbank, E. M. Rains, P. W. Shor, and N. J. A. Sloane, e-print quant-ph/9608006.
13. M. Grassl, T. Beth, and T. Pellizzari, Phys. Rev. A 56, 33 (1997).PLRAAN
14. A. Peres, e-print quant-ph/9611046.
15. W. K. Wootters and W. H. Zurek, Nature (London) 299, 802 (1982): NATUAS
16. D. Dieks, Phys. Lett. 92A, 271 (1982).PYLAAG
17. N. J. Cerf and C. Adami, e-print quant-ph/9512022;
18. N.J. Cerf and C. Adami, in Proceedings of the Second International Symposium on Fundamental Problems in Quantum Physics, edited by M. Ferrero and A. van der Merwe (Kluwer, Dordrecht, 1997);also in e-print quant-ph/9610005.
19. N. J. Cerf and C. Adami, e-print quant-ph/9605002;
20. N.J. Cerf and C. Adami, in Proceedings of the Fourth Workshop on Physics and Computation, edited by T. Toffoli et al (New England Complex Systems Institute, Cambridge, MA, 1996);also in e-print quant-ph/9605039.
21. R.B. Ash, Information Theory (Dover, New York, 1965).
22. B. Schumacher, Phys. Rev. A 54, 2614 (1996); PLRAAN
23. B. Schumacher and M. A. Nielsen, 54, 2629 (1996).
24. T.M. Cover and J.A. Thomas, Elements of Information Theory (Wiley, New York, 1991).
25. C. Adami and N. J. Cerf, e-print quant-ph/9609024.
26. R. Cleve, Phys. Rev. A 55, 4054 (1997).PLRAAN
27. J.H. van Lint, Introduction to Coding Theory (Springer-Verlag, Berlin, 1992).
28. V. Buzek and M. Hillery, Phys. Rev. A 54, 1844 (1996).PLRAAN
29. N. J. Cerf and C. Adami, Phys. Rev. A 55, 3371 (1997). PLRAAN