Advantages of randomization in coherent quantum dynamical control

New Journal of Physics

Volumn 10, Issue , 2008, Pages

  Santos, Lea F ^a   Viola, Lorenza ^b  

^a YESHIVA UNIVERSITY   (United States)

^b Dartmouth College   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FLOW INTERACTIONS; NUMERICAL ANALYSIS; QUANTUM ELECTRONICS; QUANTUM OPTICS;

CONTROL ACTIONS; CONTROL SCENARIOS; CYCLIC PERMUTATIONS; DYNAMICAL DECOUPLING; HEISENBERG CHAINS; NUMERICAL ALGORITHMS; NUMERICAL STUDIES; QUANTUM DYNAMICAL CONTROL; QUANTUM SYSTEMS; RANDOMIZED DESIGN; SIZE-CONTROL; SPECIAL EMPHASIS; SYSTEM SIZES; THIRD-ORDER; TIME SCALING; TWO TYPES;

LEARNING SYSTEMS;

EID: 49349100938     PISSN: 13672630     EISSN: None     Source Type: Journal    
DOI: 10.1088/1367-2630/10/8/083009     Document Type: Article

References (98)

1. Haeberlen U 1976 High Resolution NMR in Solids: Selective Averaging (New York: Academic)
2. Ernst R R, Bodenhausen G and Wokaun A 1994 Principles of Nuclear Magnetic Resonance in One and Two Dimensions (Oxford: Oxford University Press)
3. Levitt M H 2001 Spin Dynamics: Basics of Nuclear Magnetic Resonance (West Sussex: Wiley)
4. Hahn E L 1950 Phys. Rev. 80 580
5. Carr H Y and Purcell E M 1954 Phys. Rev. 94 630
6. Haeberlen U and Waugh J S 1968 Phys. Rev. 175 453
7. Viola L and Lloyd S 1998 Phys. Rev. A 58 2733
8. Viola L, Knill E and Lloyd S 1999 Phys. Rev. Lett. 82 2417
9. Viola L 2002 Phys. Rev. A 66 012307
10. Zanardi P 1999 Phys. Lett. A 258 77
11. Viola L and Knill E 2003 Phys. Rev. Lett. 90 037901
12. Khodjasteh K and Lidar D A 2005 Phys. Rev. Lett. 95 180501
13. Khodjasteh K. and Lidar D A 2007 Phys. Rev. A 75 062310
14. Jones J A and Knill E 1999 J. Magn. Res. 141 322
15. Stollsteimer M and Mahler G 2001 Phys. Rev. A 64 052301
16. Leung D 2002 J. Mod. Opt. 49 1199
17. Rötteler M and Wocjan P 2006 IEEE Trans. Inform. Theory 52 4171
18. Wocjan P 2006 Phys. Rev. A 73 062317
19. Uhrig G S 2007 Phys. Rev. Lett. 98 100504
20. Dhar D, Graver L K and Roy S M 2006 Phys. Rev. Lett. 96 100405
21. Lee B, Witzel W M and Das Sarma S 2007 Preprint 0710.1416
22. Lidar D A and Wu L-A 2002 Phys. Rev. Lett. 88 017905
23. Wu L-A and Lidar D A 2002 Phys. Rev. Lett. 88 207902
24. Byrd M S and Lidar D A 2002 Phys. Rev. Lett. 89 047901
25. Search C and Berman P R 2000 Phys. Rev. Lett. 85 2272
26. Search C and Berman P R 2000 Phys. Rev. A 62 053405
27. Shiokawa K and Lidar D A 2004 Phys. Rev. A 69 030302
28. Gutmann H, Wilhelm F K, Kaminsky W M and Lloyd S 2005 Phys. Rev. A 71 020302
29. Falci G, D'Arrigo A, Mastellone A and Paladino E 2004 Phys. Rev. A 70 040101
30. Faoro L and Viola L 2004 Phys. Rev. Lett. 92 117905
31. Gutmann H, Wilhelm F K, Kaminsky W M and Lloyd S 2004 Quantum Inform. Process. 3 247
32. Shenvi N, de Sousa R and Whaley K B 2005 Phys. Rev. B 71 224441
33. de Sousa R, Shenvi N and Whaley K B 2005 Phys. Rev. B 72 045330
34. Yao W, Liu R-B and Sham L J 2007 Phys. Rev. Lett. 98 077602
35. Witzel W M and Das Sarma S 2007 Phys. Rev. Lett. 98 077601
36. Witzel W M and Das Sarma S 2007 Phys. Rev. B 76 241303
37. Zhang W, Dobrovitski V V, Santos L F, Viola L and Harmon B N 2007 Phys. Rev. B 75 201302
38. Konstantinidis N P, Zhang W, Dobrovitski V V, Santos L F, Viola L and Harmon B N 2008 Phys. Rev. B 77 125336
39. Hodgson T, Viola L and D'Amico 12008 Preprint 0803.1794
40. Viola L, Lloyd S and Knill E 1999 Phys. Rev. Lett. 83 4888
41. Khodjasteh K and Lidar D A 2008 Preprint 0803.4320
42. Berglund A J 2000 Preprint quant-ph/0010001
43. Cory D G et al 2000 Fortschr. Phys. 48 875
44. Boulant N, Pravia M A, Fortunato E M, Havel T F and Cory D G 2002 Quantum. Inform. Process. 1 135
45. Nakamura Y, Pashkin Y A, Yamamoto T and Tsai J S 2002 Phys. Rev. Lett. 88 047901
46. Chiorescu I, Nakamura Y, Harmans C J P M and Mooij J E 2003 Science 299 1871
47. Fraval E, Sellars M J and Longdell J J 2005 Phys. Rev. Lett. 95 030506
48. Morton J J L, Tyryshkin A M, Ardavan A, Porfyrakis K, Lyon S A and Briggs G A 2005 Phys. Rev. A 71 012332
49. Viola L and Knill E 2005 Phys. Rev. Lett. 94 060502
50. Viola L 2005 Stochastic control of open quantum systems, Proc. 44th IEEE Conf on Decision and Control (Seville, Spain) p 1794
51. Kern O and Alber G 2005 Phys. Rev. Lett. 95 250501
52. Santos L F and Viola L 2005 Phys. Rev. A 72 062303
53. Kern O and Alber G 2006 Phys. Rev. A 73 062302
54. Santos L F and Viola L 2006 Phys. Rev. Lett. 97 150501
55. Viola L and Santos L F 2006 J. Mod. Opt. 53 2559
56. Geberth D, Kern O, Alber G and Jex 12007 Preprint 0712.1480
57. Gammaitoni L et al 1998 Rev. Mod. Phys. 70 223
58. Prosen T and Žnidarič M 2001 J. Phys. A: Math. Gen. 34 L681
59. Prosen T and Žnidarič M 2002 J. Phys. A: Math. Gen. 35 1455
60. Knill E, Leibfried D, Reichle R, Britton J, Blakestad R B, Jost J D, Langer C, Ozeri R, Seidelin S and Wineland D J 2008 Phys. Rev. A 11 012307
61. Fern F 1958 Bull. Classe Sci. Acad. R. Bel. 44 818
62. Klarsfeld S and Oteo J A 1989 J. Phys. A: Math. Gen. 22 2687
63. Blanes S, Casas F, Oteo J A and Ros J 1998 J. Phys. A: Math. Gen. 31 259
64. Madhu P K and Kurur N D 2006 Chem. Phys. Lett. 418 235
65. Klarsfeld S and Oteo J A 1989 Phys. Rev. A 39 3270
66. Maricq M M 1982 Phys. Rev. B 25 6622
67. Feld'man E B 1984 Phys. Lett. A 104 479
68. Maricq M M 1987 J. Chem. Phys. 86 5647
69. Salzman W R 1987 Phys. Rev. A 36 5074
70. Fernandez F M 1990 Phys. Rev. A 41 2311
71. Casas F 2007 J. Phys. A: Math. Theor. 40 15001
72. Iserles A and Norsett S P 1999 Phil. Trans. R. Soc. A 357 983
73. Iserles A 2002 Not. AMS 49 430
74. Schumacher B 1996 Phys. Rev. A 54 2614
75. Fortunato E M, Viola L, Hodges J, Teklemariam G and Cory D G 2002 New J. Phys. 4 5
76. Horodecki M, Horodecki P and Horodecki R 1999 Phys. Rev. A 60 1888
77. Nielsen M A 2002 Phys. Lett. A 303 249
78. Levitt M H and Freeman R 1981 J. Magn. Reson. 43 502
79. Levitt M H, Freeman R and Frenkiel T 1982 J. Magn. Reson. 47 328
80. Levitt M H, Freeman R and Frenkiel T 1982 J. Magn. Reson. 50 157
81. Shaka A J and Keeler J 1987 Prog. Nucl. Magn. Reson. Spectrosc. 19 47
82. Salunke S S, Ahsan MAH, Nath R, Mahajan A and Dasgupta 12007 Phys. Rev. B 76 085104
83. Glazman L I and Larkin AI 1997 Phys. Rev. Lett. 79 3736
84. Giuliano D and Sodano P 2005 Nucl. Phys. B 711 480
85. Loss D and DiVincenzo D P 1998 Phys. Rev. A 57 120
86. Baugh J, Moussa O, Ryan C A, Nayak A and Laflamme R 2006 Phys. Rev. A 73 022305
87. Platzman P M and Dykman M12000 Science 284 1967
88. Dykman M and Platzman P M 2000 Fortschr. Phys. 48 1095
89. Waugh J S, Huber L M and Haeberlen U 1968 Phys. Rev. Lett. 20 180
90. Pryadko L 2005 private communication
91. Zhang W, Dobrovitski V V, Santos L F, Viola L and Harmon B N 2007 J. Mod. Opt. 54 2629
92. Mansfield P 1971 J. Phys. C: Solid State Phys. 4 1444
93. Mitchell M 1996 An Introduction to Genetic Algorithms (Cambridge, MA: MIT Press)
94. Wu Z, Huver S D, Uskov D, Lee H and Dowling J P 2007 Preprint 0708.1498
95. Slichter C P 1992 Principles of Magnetic Resonance (Berlin: Springer)
96. Vandersypen L M K and Chuang I L 2005 Rev. Mod. Phys. 76 1037
97. Sengupta P and Pryadko L P 2005 Phys. Rev. Lett. 95 037202
98. Pasini S, Fischer T, Karbach P and Uhrig G S 2008 Phys. Rev. A 77 032315