Evaluation of decoherence for quantum control and computing

Journal of Computational and Theoretical Nanoscience

Volumn 1, Issue 2, 2004, Pages 132-143

  Fedorov, Arkady ^a   Fedichkin, Leonid ^a   Privman, Vladimir ^a  

^a CLARKSON UNIVERSITY   (United States)

Author keywords

Decoherence; Dissipation; Effects of environment; Measurement; Open quantum systems; Quantum computing

Indexed keywords

COMPUTATION THEORY; EIGENVALUES AND EIGENFUNCTIONS; HAMILTONIANS; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; MATRIX ALGEBRA;

DECOHERENCE; OPEN QUANTUM SYSTEMS; QUANTUM COMPUTING;

QUANTUM THEORY;

EID: 8444253346     PISSN: 15461955     EISSN: None     Source Type: Journal    
DOI: 10.1166/jctn.2004.011     Document Type: Article

References (79)

1. G. W. Ford, M. Kac, and P. Mazur, [i J. Math. Phys. i] 6, 504 ([b 1965 b]).
2. A. O. Caldeira and A. J. Leggett, [i Physica A i] 121, 587 ([b 1983 b]).
3. S. Chakravarty and A. J. Leggett, [i Phys. Rev. Lett. i] 52, 5 ([b 1984 b]).
4. H. Grabert, P. Schramm, and G.-L. Ingold, [i Phys. Rep. i] 68, 115 ([b 1988 b]).
5. N. G. van Kampen, [i J. Stat. Phys. i] 78, 299 ([b 1995 b]).
6. K. M. Fonseca Romero and M. C. Nemes, [i Phys. Lett. A i] 235, 432 ([b 1997 b]).
7. C. Anastopoulos and B. L. Hu, [i Phys. Rev. A i] 62, 033821 ([b 2000 b]).
8. G. W. Ford and R. F. O'Connell, [i Phys. Rev. D i] 64, 105020 ([b 2001 b]).
9. D. Braun, F. Haake, and W. T. Strunz, [i Phys. Rev. Lett. i] 86, 2913 ([b 2001 b]).
10. G. W. Ford, J. T. Lewis, and R. F. O'Connell, [i Phys. Rev. A i] 64, 032101 ([b 2001 b]).
11. J. Wang, H. E. Ruda, and B. Qiao, [i Phys. Lett. A i] 294, 6 ([b 2002 b] ).
12. E. Lutz, [i Phys. Rev. A i] 67, 022109 ([b 2003 b]).
13. A. Khaetskii, D. Loss, and L. Glazman, [i Phys. Rev. B i] 67, 195329 ([b 2003 b]).
14. R. F. O'Connell and J. Zuo, [i Phys. Rev. A i] 67, 062107 ([b 2003 b]).
15. W. T. Strunz, F. Haake, and D. Braun, [i Phys. Rev. A i] 67, 022101 ([b 2003 b]).
16. W. T. Strunz and F. Haake, [i Phys. Rev. A i] 67, 022102 ([b 2003 b]).
17. V. Privman, D. Mozyrsky, and I. D. Vagner, [i Comp. Phys. Commun. i] 146, 331 ([b 2002 b]).
18. V. Privman, [i J. Stat. Phys. i] 110, 957 ([b 2003 b]).
19. V. Privman, [i Mod. Phys. Lett. B i] 16, 459 ([b 2002 b]).
20. P. W. Shor, [i Phys. Rev. A i] 52, R2493 ([b 1995 b]).
21. A. M. Steane, [i Phys. Rev. Lett. i] 77, 793 ([b 1996 b]).
22. C. H. Bennett, G. Brassard, S. Popescu, B. Schumacher, J. A. Smolin, and W. K. Wootters, [i Phys. Rev. Lett. i] 76, 722 ([b 1996 b]).
23. A. R. Calderbank and P. W. Shor, [i Phys. Rev. A i] 54, 1098 ([b 1996 b] ).
24. A. M. Steane, [i Phys. Rev. A i] 54, 4741 ([b 1996 b]).
25. D. Aharonov and M. Ben-Or, quant-ph/9611025 ([b 1996 b]).
26. D. Gottesman, [i Phys. Rev. A i] 54, 1862 ([b 1997 b]).
27. E. Knill and R. Laflamme, [i Phys. Rev. A i] 55, 900 ([b 1997 b]).
28. D. Loss and D. P. DiVincenzo, cond-mat/0304118 ([b 2003 b]).
29. V. Privman, [i Proc. SPIE i] 5115, 345 ([b 2003 b]).
30. W. H. Zurek, [i Rev. Mod. Phys. i] 75, 715 ([b 2003 b]).
31. A. Shnirman and G. Schön, cond-mat/0210023 ([b 2002 b]).
32. L. Fedichkin, A. Fedorov, and V. Privman, [i Proc. SPIE i] 5105, 243 ([b 2003 b]).
33. L. Fedichkin and A. Fedorov, [i Phys. Rev. A i] 69, 032311 ([b 2004 b]).
34. L. Fedichkin, A. Fedorov, and V. Privman, cond-mat/0309685 ([b 2003 b]).
35. A. O. Caldeira and A. J. Leggett, [i Phys. Rev. Lett. i] 46, 211 ([b 1981 b]).
36. S. Lloyd, [i Phys. Rev. Lett. i] 75, 346 ([b 1995 b]).
37. A. Barenco, C. H. Bennett, R. Cleve, D. P. DiVincenzo, N. Margolus, P. Shor, T. Sleator, J. A. Smolin, and H. Weinfurter, [i Phys. Rev. A i] 52, 3457 ([b 1995 b]).
38. S. Lloyd, [i Science i] 261, 1569 ([b 1993 b]).
39. Q. A. Turchette, C. J. Hood, W. Lange, H. Mabuchi, and H. J. Kimble, [i Phys. Rev. Lett. i] 75, 4710 ([b 1995 b]).
40. J. I. Cirac and P. Zoller, [i Phys. Rev. Lett. i] 74, 4091 ([b 1995 b]).
41. A. Ekert and R. Jozsa, [i Rev. Mod. Phys. i] 68, 733 ([b 1996 b]).
42. V. Privman, I. D. Vagner, and G. Kventsel, [i Phys. Lett. A i] 239, 141 ([b 1998 b]).
43. B. E. Kane, [i Nature i] 393, 133 ([b 1998 b]).
44. D. Loss and D. P. DiVincenzo, [i Phys. Rev. A i] 57, 120 ([b 1998 b]).
45. A. Imamoglu, D. D. Awschalom, G. Burkard, D. P. DiVincenzo, D. Loss, M. Sherwin, and A. Small, [i Phys. Rev. Lett. i] 83, 4204 ([b 1999 b]).
46. P. Zanardi and F. Rossi, [i Phys. Rev. B i] 59, 8170 ([b 1999 b]).
47. Y. Nakamura, Yu. A. Pashkin, and H. S. Tsai, [i Nature i] 398, 786 ([b 1999 b]).
48. T. Tanamoto, [i Phys. Rev. A i] 61, 022305 ([b 2000 b]).
49. P. M. Platzman and M. I. Dykman, [i Science i] 284, 1967 ([b 1999 b]).
50. G. P. Sanders, K. W. Kim, and W. C. Holton, [i Phys. Rev. A i] 60, 4146 ([b 1999 b]); quant-ph/9909070 ([b 1999 b]).
51. G. Burkard, D. Loss, and D. P. DiVincenzo, [i Phys. Rev. B i] 59, 2070 ([b 1999 b]).
52. R. Vrijen, E. Yablonovitch, K. Wang, H. W. Jiang, A. Balandin, V. Roychowdhury, T. Mor, and D. P. DiVincenzo, [i Phys. Rev. A i] 62, 012306 ([b 2000 b]).
53. L. Fedichkin, M. Yanchenko, and K. A. Valiev, [i Nanotechnology i] 11, 387 ([b 2000 b]).
54. S. Bandyopadhyay, [i Phys. Rev. B i] 61, 13813 ([b 2000 b]).
55. A. A. Larionov, L. E. Fedichkin, and K. A. Valiev, [i Nanotechnology i] 12, 536 ([b 2001 b]).
56. N. G. van Kampen, [i Physics and Chemistry i] , North-Holland, Amsterdam ([b 2001 b]).
57. W. H. Louisell, [i Quantum Statistical Properties of Radiation i] , Wiley, New York ([b 1973 b]).
58. A. Abragam, [i The Principles of Nuclear Magnetism i], Clarendon Press, Oxford ([b 1983 b]).
59. K. Blum, [i Density Matrix Theory and Applications i], Plenum, New York ([b 1996 b]).
60. A. Y. Kitaev, [i Russ. Math. Surv. i] 52, 1191 ([b 1997 b]).
61. D. Aharonov, A. Kitaev, and N. Nisan, [i Proc. XXXth ACM Symp. Theor. Comp. i] Dallas, TX, USA, 20 ([b 1998 b]).
62. A. Yu. Kitaev, A. H. Shen, and M. N. Vyalyi, [i Classical and Quantum Computation i] AMS ([b 2002 b]).
63. J. Preskill, [i Proc. Roy. Soc. Lond. A i] 454, 385 ([b 1998 b]).
64. D. P. DiVincenzo, [i Fort. Phys. i] 48, 771 ([b 2000 b]).
65. M. J. Storcz and F. K. Wilhelm, [i Phys. Rev. A i] 67, 042319 ([b 2003 b]).
66. G. M. Palma, K. A. Suominen, and A. K. Ekert, [i Proc. Roy. Soc. Lond. A i] 452, 567 ([b 1996 b]).
67. L.-M. Duan and G.-C. Guo, [i Phys. Rev. Lett. i] 79, 1953 ([b 1997 b]).
68. P. Zanardi and M. Rasetti, [i Phys. Rev. Lett. i] 79, 3306 ([b 1997 b]).
69. D. A. Lidar, I. L. Chuang, and K. B. Whaley, [i Phys. Rev. Lett. i] 81, 2594 ([b 1998 b]).
70. B. J. Dalton, [i J. Mod. Opt. i] 50, 951 ([b 2003 b]).
71. D. Mozyrsky, V. Privman, and I. D. Vagner, [i Phys. Rev. B i] 63, 085313 ([b 2001 b]).
72. J. von Neumann, [i Mathematical Foundations of Quantum Mechanics i], Princeton University Press, Princeton, NJ ([b 1983 b]).
73. J. I. Kim, M. C. Nemes, A. F. R. de Toledo Piza, and H. E. Borges, [i Phys. Rev. Lett. i] 77, 207 ([b 1996 b]).
74. W. H. Zurek, S. Habib, and J. P. Paz, [i Phys. Rev. Lett. i] 70, 1187 ([b 1993 b]).
75. J. C. Retamal and N. Zagury, [i Phys. Rev. A i] 63, 032106 ([b 2001 b]).
76. L.-M. Duan and G.-C. Guo, [i Phys. Rev. A i] 56, 4466 ([b 1997 b]).
77. T. Kato, [i Perturbation Theory for Linear Operators i], Springer-Verlag, Berlin ([b 1995 b]).
78. A. J. Leggett, S. Chakravarty, A. T. Dorsey, M. P. A. Fisher, A. Garg, and W. Zwerger, [i Rev. Mod. Phys. i] 59, 1 ([b 1987 b]).
79. D. Mozyrsky and V. Privman, [i J. Stat. Phys. i] 91, 787 ([b 1998 b]).