Continuous quantum error correction for non-Markovian decoherence

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 76, Issue 2, 2007, Pages

  Oreshkov, Ognyan ^a   Brun, Todd A ^a  

^a UNIVERSITY OF SOUTHERN CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CODES (SYMBOLS); COHERENT LIGHT; ERROR CORRECTION; MARKOV PROCESSES;

CONTINUOUS QUANTUM; MARKOVIAN DECOHERENCE; MARKOVIAN DYNAMICS; QUADRATIC ENHANCEMENT;

QUANTUM EFFICIENCY;

EID: 34548173646     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.76.022318     Document Type: Article

References (31)

1. P. Shor, in Proceedings of the 37th Annual Symposium on Fundamentals of Computer Science (IEEE Press, Los Alamitos, CA, 1996), pp. 56-65.
2. D. Aharonov and M. Ben-Or, in Proceedings of the 29th Annual ACM Symposium on Theory of Computing (ACM, New York, 1998), p. 176.
3. A. Kitaev, Russ. Math. Surveys RMSUAF 0036-0279 10.1070/ RM1997v052n06ABEH002155 52, 1191 (1997).
4. 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).
5. D. Gottesman, Ph.D. thesis, Caltech, 1997
6. D. Gottesman, e-print arXiv:quant-ph/9705052.
7. P. W. Shor, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.52.R2493 52, R2493 (1995).
8. A. M. Steane, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77. 793 77, 793 (1996).
9. E. Knill and R. Laflamme, e-print arXiv:quant-ph/9608012.
10. J. P. Paz and W. H. Zurek, Proc. R. Soc. London, Ser. A 454, 355 (1998).
11. M. Sarovar and G. J. Milburn, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.012306 72, 012306 (2005).
12. O. Oreshkov and T. A. Brun (unpublished).
13. C. Ahn, A. C. Doherty, and A. J. Landahl, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.042301 65, 042301 (2002).
14. M. Sarovar and G. J. Milburn, Quantum Communication, Measurement & Computing, edited by, S. M. Barnett, E. Andersso, n, J. Jeffers, P. Ohberg, and, O. Hirota, AIP Conf. Proc. No. 734 (AIP, Melville, NY, 2004), p.121.
15. H.-P. Breuer and F. Petruccione, The Theory of Open Quantum Systems (Oxford University Press, Oxford, 2002).
16. G. Lindblad, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF01608499 48, 119 (1976).
17. B. Misra and E. C. G. Sudarshan, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.523304 18, 756 (1977).
18. H. Nakazato, M. Namiki, and S. Pascazio, Int. J. Mod. Phys. B IJPBEV 0217-9792 10.1142/S0217979296000118 10, 247 (1996).
19. W. H. Zurek, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.53.391 53, 391 (1984).
20. A. Barenco, A. Berthiaume, D. Deutsch, A. Eckert, R. Jozsa, and C. Macchiavello, SIAM J. Comput. 26, 1541 (1997). 0097-5397
21. L. Vaidman, L. Goldenberg, and S. Wiesner, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.54.R1745 54, R1745 (1996).
22. T. Quang, M. Woldeyohannes, S. John, and G. S. Agarwal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.5238 79, 5238 (1997).
23. H.-P. Breuer, D. Burgarth, and F. Petruccione, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.70.045323 70, 045323 (2004).
24. H. Krovi, O. Oreshkov, M Ryazonov, and D. Lidar, e-print arXiv:0707.2096
25. A. Shabani and D. Lidar, e-print arXiv:quant-ph/0610028.
26. B. M. Terhal and G. Burkard, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.012336 71, 012336 (2005).
27. P. Aliferis, D. Gottesman, and J. Preskill, Quantum Inf. Comput. 6, 97 (2006).
28. D. Aharonov, A. Kitaev, and J. Preskill, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.050504 96, 050504 (2006).
29. S. Nakajima, Prog. Theor. Phys. PTPKAV 0033-068X 10.1143/PTP.20.948 20, 948 (1958).
30. R. Zwanzig, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1731409 33, 1338 (1960).
31. F. Shibata and T. Arimitsu, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.49.891 49, 891 (1980).