Theory of decoherence control in a fluctuating environment

Journal of Physics B: Atomic, Molecular and Optical Physics

Volumn 43, Issue 13, 2010, Pages

  Kitajima, Sachiko ^a   Ban, Masashi ^a   Shibata, Fumiaki ^a,b  

^a OCHANOMIZU UNIVERSITY   (Japan)

^b INTERNATIONAL CHRISTIAN UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

DECOHERENCE CONTROL; DYNAMICAL DECOUPLING; EXACT ANALYTICAL SOLUTIONS; GAUSS-MARKOV PROCESS; JUMP MARKOV PROCESS; NONSTATIONARY; QUBIT SYSTEM; STATIONARY PROCESS; STOCHASTIC NOISE; STOCHASTIC PROCESS; TWO-STATE;

FUZZY CONTROL; MARKOV PROCESSES; STOCHASTIC SYSTEMS;

QUANTUM THEORY;

EID: 77954043929     PISSN: 09534075     EISSN: 13616455     Source Type: Journal    
DOI: 10.1088/0953-4075/43/13/135504     Document Type: Article

References (87)

1. Kubo R, Toda M and Hashitsume N 1985 Statistical Physics II (Berlin: Springer)
2. van Kampen N G 1997 Stochastic Processes in Physics and Chemistry 2nd edn (Amsterdam: Elsevier)
3. Breuer H-P and Petruccione F 2007 The Theory of Open Quantum Systems (Oxford: Oxford University Press)
4. Abragam A 1961 Principles of Nuclear Magnetism (Oxford: Oxford University Press)
5. Slichter C P 1990 Principles of Magnetic Resonance (Berlin: Springer)
6. Peres A 1998 Quantum Theory: Concepts and Methods (New York: Kluwer)
7. Joos E, Zeh H D, Kiefer C, Giulini D, Kupsch J and Stamatescu I O 2003 Decoherence and the Appearance of a Classical World in Quantum Theory 2nd edn (Berlin: Springer)
8. Nielsen M A and Chuang I L 2000 Quantum Computation and Quantum Information (Cambridge: Cambridge University Press)
9. Zanardi P and Rasetti M 1997 Phys. Rev. Lett. 79 3306
10. Lidar D A, Chuang I L and Whaley K B 1998 Phys. Rev. Lett. 81 2594
11. Knill E, Laflamme R and Viola L 2000 Phys. Rev. Lett. 84 2525
12. Shor P W 1995 Phys. Rev. A 52 R2493
13. Steane A M 1996 Phys. Rev. Lett. 77 793
14. Ban M 1998 J. Mod. Opt. 45 2315
15. Viola L and Lloyd S 1998 Phys. Rev. A 58 2733
16. Vitali D and Tombesi P 1999 Phys. Rev. A 59 4178
17. Ban M, Kitajima S and Shibata F 2007 Phys. Lett. A 370 222
18. Ban M, Kitajima S and Shibata F 2007 J. Phys. B: At. Mol. Opt. Phys. 40 2641
19. Bloch F 1946 Phys. Rev. 70 460
20. Bloembergen N, Purcell E M and Pound R V 1948 Phys. Rev. 73 679
21. Anderson P W 1954 J. Phys. Soc. Japan 9 316
22. Kubo R 1954 J. Phys. Soc. Japan 9 935
23. Wangsness R K and Bloch F 1953 Phys. Rev. 89 728
24. Kubo R and Tomita K 1954 J. Phys. Soc. Japan 9 888
25. Shibata F and Uchiyama C 1993 J. Phys. Soc. Japan 62 381
26. Uchiyama C and Aihara M 2002 Phys. Rev. A 66 032313
27. Uchiyama C and Aihara M 2003 Phys. Rev. A 68 052302
28. Kofman A G and Kurizki G 2004 Phys. Rev. Lett. 93 130406
29. Santos L F and Viola L 2005 Phys. Rev. A 72 062303
30. Gordon G, Erez N and Kurizki G 2007 J. Phys. B: At. Mol. Opt. Phys. 40 S75
31. Palma G M, Suominen K-A and Ekert A K 1996 Proc. R. Soc. A 452 567
32. Khodjasteh K and Lidar D A 2005 Phys. Rev. Lett. 95 180501
33. Falci G, D'Arrigo A, Mastellone A and Paladino E 2004 Phys. Rev. A 70 040101
34. Faoro L and Viola L 2004 Phys. Rev. Lett. 92 117905
35. Anderson P W 1961 Phys. Rev. 124 41
36. Kitajima S, Ban M, Arimitsu T and Shibata F 2007 J. Phys. B: At. Mol. Opt. Phys. 40 S239
37. Kitajima S, Ban M and Shibata F 2007 Phys. Lett. A 370 228
38. Hepp K 1972 Helv. Phys. Acta. 45 237
39. Nakazato H and Pascazio S 1993 Phys. Rev. Lett. 70 1
40. Hiyama K and Takagi S 1993 Phys. Rev. A 48 2586
41. Kobayashi T 1994 Phys. Lett. A 185 349
42. Kitajima S and Shibata F 2000 J. Phys. Soc. Japan 69 73
43. Gutmann H, Wilhelm F K, Kaminsky W M and Lloyd S 2004 Quantum Inf. Process. 3 247
44. Gutmann H, Wilhelm F K, Kaminsky W M and Lloyd S 2005 Phys. Rev. A 71 020302
45. Mottonen M, Sousa R, Zhang J and Whaley K B 2006 Phys. Rev. A 73 022332
46. Ban M, Shibata F and Kitajima S 2007 J. Phys. B: At. Mol. Opt. Phys. 40 S229
47. Bergli J and Faoro L 2007 Phys. Rev. B 75 054515
48. Cywiński L, Lutchyn R M, Nave C P and Das Sarma S 2008 Phys. Rev. B 77 174509
49. Chuu C-S and Zhang C 2009 Phys. Rev. A 80 032307
50. Kuopanportti P, Möttönen M, Bergholm V, Saira O-P, Zhang J and Whaley K B 2008 Phys. Rev. A 77 032334
51. Viola L, Knill E and Lloyd S 1999 Phys. Rev. Lett. 82 2417
52. Hahn E L 1950 Phys. Rev. 80 580
53. Doktorov A B and Burshtein A I 1972 Zh. Eksp. Teor. Fiz. 63 784
54. Doktorov A B and Burshtein A I 1973 Sov. Phys.-JETP 36 411 (Engl. transl.)
55. Carr H Y and Purcell E M 1954 Phys. Rev. 94 630
56. Meiboom S and Gill D 1958 Rev. Sci. Instrum. 29 688
57. Uhrig G S 2007 Phys. Rev. Lett. 98 100504
58. Ban M, Kitajima S and Shibata F 2009 Phys. Lett. A 373 3614
59. Viola L and Knill E 2005 Phys. Rev. Lett. 94 060502
60. Kern O and Alber G 2005 Phys. Rev. Lett. 95 250501
61. Shibata F, Takahashi Y and Hashitsume N 1977 J. Stat. Phys. 17 171
62. Chaturvedi S and Shibata F 1979 Z. Phys. B 35 297 and references cited therein
63. Kondo Y, Nakahara M, Tanimura S, Kitajima S, Uchiyama C and Shibata F 2007 J. Phys. Soc. Japan 76 074002
64. Biercuk M J, Uys H, VanDevender A P, Shiga N, Itano W M and Bollinger J J 2009 Nature 458 996
65. Biercuk M J, Uys H, VanDevender A P, Shiga N, Itano W M and Bollinger J J 2009 Phys. Rev. A 79 062324
66. Uys H, Biercuk M J and Bollinger J J 2009 Phys. Rev. Lett. 103 040501
67. Kubo R 1962 Fluctuation, Relaxation and Resonances in Magnetic Systems ed D ter Haar (Edinburgh: Oliver and Boyd) p 23
68. Wódkiewicz K 1981 Z. Phys. B 42 95
69. Maruyama K and Shibata F 1988 Physica A 149 447
70. Kuś M, Wajnryb E and Wódkiewicz K 1991 Phys. Rev. A 43 4167
71. Kuś M, Wajnryb E and Wódkiewicz K 1991 Phys. Rev. A 44 4080
72. Ban M, Kitajima S, Maruyama K and Shibata F 2008 Phys. Lett. A 372 351
73. Paladino E, Faoro L, Falci G and Fazio R 2002 Phys. Rev. Lett. 88 228304
74. Galperin Y M, Altshuler B L, Bergli J and Shantsev D V 2006 Phys. Rev. Lett. 96 097009
75. Kubo R 1969 Advances in Chemical Physics: Stochastic Processes in Chemical Physics vol 15 ed K E Shuler (Hoboken, NJ: Wiley) p 101
76. Kubo R 1962 J. Phys. Soc. Japan 17 1100
77. Arimitsu T, Ban M and Shibata F 1984 Physica A 123 131
78. Hamano Y and Shibata F 1982 J. Phys. Soc. Japan 51 1727
79. Kubo R and Toyabe T 1967 Magnetic Resonance and Relaxation: Proc. 14th Colloque Ampère (Ljubljana, 1966) ed R Blinc (Amsterdam: North-Holland) p 810
80. Shibata F and Sato I 1987 Physica A 143 468
81. Risken H, Schoendorff L and Vogel K 1990 Phys. Rev. A 42 4562
82. Merkulov I A, Efros Al L and Rosen M 2002 Phys. Rev. B 65 205309
83. Grimmett G and Stirzaker D 2001 Probability and Random Processes (Oxford: Oxford University Press)
84. Klauder J R and Anderson P W 1962 Phys. Rev. 125 912
85. Risken H 1989 The Fokker-Planck Equation (Berlin: Springer)
86. Kohmoto T, Fukuda Y, Kunitomo M, Ishikawa K, Tanigawa M, Ebina K and Kaburagi M 1994 Phys. Rev. B 49 15352
87. Kohmoto T, Fukuda Y, Kunitomo M, Ishikawa K, Takahashi Y, Ebina K and Kaburagi M 1995 Phys. Rev. B 52 13475