Robustness of operator quantum error correction with respect to initialization errors

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 77, Issue 3, 2008, Pages

  Oreshkov, Ognyan ^a  

^a UNIVERSITY OF SOUTHERN CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

INFORMATION ANALYSIS; NOISE ABATEMENT; QUANTUM THEORY; ROBUSTNESS (CONTROL SYSTEMS);

INITIALIZATION ERRORS; OPERATOR QUANTUM ERROR CORRECTION;

ERROR CORRECTION;

EID: 41449115013     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.77.032333     Document Type: Article

References (35)

1. D. Kribs, R. Laflamme, and D. Poulin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.180501 94, 180501 (2005).
2. D. W. Kribs, R. Laflamme, D. Poulin, and M. Lesosky, Quantum Inf. Comput. 6, 382 (2006). 0890-5401
3. C. Beny, A. Kempf, and D. W. Kribs, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.100502 98, 100502 (2007).
4. P. W. Shor, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.52.R2493 52, R2493 (1995).
5. A. M. Steane, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77. 793 77, 793 (1996).
6. C. H. Bennett, D. P. DiVincenzo, J. A. Smolin, and W. K. Wootters, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.54.3824 54, 3824 (1996).
7. E. Knill and R. Laflamme, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.2525 84, 2525 (2000).
8. L.-M. Duan and G.-C. Guo, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.57.737 57, 737 (1998).
9. P. Zanardi and M. Rasetti, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.3306 79, 3306 (1997).
10. D. A. Lidar, I. L. Chuang, and K. B. Whaley, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.2594 81, 2594 (1998).
11. D. A. Lidar, D. Bacon, J. Kempe, and K. B. Whaley, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.63.022306 63, 022306 (2001).
12. E. Knill, R. Laflamme, and L. Viola, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.2525 84, 2525 (2000).
13. S. De Filippo, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.62.052307 62, 052307 (2000).
14. J. Kempe, D. Bacon, D. A. Lidar, and K. B. Whaley, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.63.042307 63, 042307 (2001).
15. C.-P. Yang and J. Gea-Banacloche, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.63.022311 63, 022311 (2001).
16. M.-H. Hsieh, I. Devetak, and T. Brun, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.062313 76, 062313 (2007).
17. G. Gilbert, M. Hamrick, Y. S. Weinstein, V. Aggarwal, and A. R. Calderbank, e-print arXiv:0709.0128.
18. E. Knill, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.042301 74, 042301 (2006).
19. R. Blume-Kohout, H. K. Ng, D. Poulin, and L. Viola, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.030501 100, 030501 (2008).
20. A. Shabani and D. A. Lidar, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.042303 72, 042303 (2005).
21. K. Kraus, States, Effects and Operations, Fundamental Notions of Quantum Theory (Academic, Berlin, 1983).
22. C. A. Fuchs, Ph.D. thesis, University of New Mexico, Albuquerque, NM, 1996 (unpublished)
23. C. A. Fuchs, e-print arXiv:quant-ph/9601020.
24. A. Uhlmann, Rep. Math. Phys. RMHPBE 0034-4877 10.1016/0034-4877(76)90060- 4 9, 273 (1976).
25. H. Barnum, C. M. Caves, C. A. Fuchs, R. Jozsa, and B. Schumacher, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.2818 76, 2818 (1996).
26. M. Nielsen and I. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, England, 2000).
27. P. Shor, Proceedings of the 37th Annual Symposium on Fundamentals of Computer Science (IEEE Press, Los Alamitos, CA, 1996), pp. 56-65.
28. D. Aharonov and M. Ben-Or, Proceedings of the 29th Annual ACM Symposium on Theory of Computing (ACM, New York, 1998), p. 176.
29. A. Kitaev, Russ. Math. Surveys RMSUAF 0036-0279 10.1070/ RM1997v052n06ABEH002155 52, 1191 (1997).
30. E. Knill, R. Laflamme, and W. H. Zurek, Proc. R. Soc. London, Ser. A PRLAAZ 0950-1207 10.1098/rspa.1998.0166 454, 365 (1998).
31. D. Gottesman, Ph.D. thesis, Caltech, 1997 (unpublished)
32. D. Gottesman, e-print arXiv:quant-ph/9705052.
33. P. Aliferis and A. W. Cross, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.220502 98, 220502 (2007).
34. J. Preskill, in Introduction to Quantum Computation and Information, edited by, H.-K. Lo, S. Popescu, and, T. P. Spiller, (World Scientific, Singapore, 1999).
35. B. W. Schumacher, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.54.2614 54, 2614 (1996).