Optimal control of quantum gates and suppression of decoherence in a system of interacting two-level particles

Journal of Physics B: Atomic, Molecular and Optical Physics

Volumn 40, Issue 9, 2007, Pages

  Grace, Matthew ^a   Brif, Constantin ^a   Rabitz, Herschel ^a   Walmsley, Ian A ^b   Kosut, Robert L ^c   Lidar, Daniel A ^d  

^a PRINCETON UNIVERSITY   (United States)

^b UNIVERSITY OF OXFORD   (United Kingdom)

^c SC Solutions Inc   (United States)

^d UNIVERSITY OF SOUTHERN CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ATOMIC PHYSICS; COMPUTATIONAL COMPLEXITY; GENETIC ALGORITHMS; OPTIMAL CONTROL SYSTEMS; QUANTUM THEORY; ROBUSTNESS (CONTROL SYSTEMS);

ENVIRONMENTAL COUPLING; QUANTUM GATES; QUANTUM INFORMATION PROCESSOR; SYSTEM COMPLEXITY;

QUANTUM COMPUTERS;

EID: 34250206675     PISSN: 09534075     EISSN: 13616455     Source Type: Journal    
DOI: 10.1088/0953-4075/40/9/S06     Document Type: Article

References (78)

1. Nielsen M A and Chuang I L 2000 Quantum Computation and Quantum Information (Cambridge: Cambridge University Press)
2. Loss D and DiVincenzo D P 1998 Phys. Rev. A 57 120
3. Burkard G, Loss D and DiVincenzo D P 1999 Phys. Rev. B 59 2070
4. Kane B E 1998 Nature 393 133
5. Vrijen R, Yablonovitch E, Wang K, Jiang H W, Balandin A, Roychowdhury V, Mor T and DiVincenzo D 2000 Phys. Rev. A 62 012306
6. Petta J R, Johnson A C, Taylor J M, Laird E A, Yacoby A, Lukin M D, Marcus C M, Hanson M P and Gossard A C 2005 Science 309 2180
7. Shor P W 1996 Proc. 35th Ann. Symp. on Fundamentals of Computer Science (Los Alamitos, CA: IEEE Press) p 56 (Preprint quant-ph/9605011)
8. Preskill J 1998 Proc. R. Soc. A 454 385
9. Knill E, Laflamme R and Zurek W H 1998 Science 279 342
10. Aharonov D and Ben-Or M 1999 Fault-tolerant quantum computation with constant error rate Preprint quant-ph/9906129
11. Steane A M 2003 Phys. Rev. A 68 042322
12. Knill E 2005 Nature 434 39
13. Palma G M, Suominen K A and Ekert A K 1996 Proc. R. Soc. A 452 567
14. Duan L M and Guo G C 1997 Phys. Rev. Lett. 79 1953
15. Zanardi P and Rasetti M 1997 Phys. Rev. Lett. 79 3306
16. Lidar D A, Chuang I L and Whaley K B 1998 Phys. Rev. Lett. 81 2594
17. Kempe J, Bacon D, Lidar D A and Whaley K B 2001 Phys. Rev. A 63 042307
18. Lidar D A and Whaley K B 2003 Irreversible Quantum Dynamics (Lecture Notes in Physics) vol 622 ed F Benatti and R Floreanini (Berlin: Springer) p 83
19. Knill E, Laflamme R and Viola L 2000 Phys. Rev. Lett. 84 2525
20. Viola L and Lloyd S 1998 Phys. Rev. A 58 2733
21. Viola L, Knill E and Lloyd S 1999 Phys. Rev. Lett. 82 2417
22. Viola L, Knill E and Lloyd S 1999 Phys. Rev. Lett. 83 4888
23. Viola L, Knill E and Lloyd S 2000 Phys. Rev. Lett. 85 3520
24. Zanardi P 1999 Phys. Lett. A 258 77
25. Vitali D and Tombesi P 1999 Phys. Rev. A 59 4178
26. Vitali D and Tombesi P 2001 Phys. Rev. A 65 012305
27. Uchiyama C and Aihara M 2002 Phys. Rev. A 66 032313
28. Wu L A and Lidar D A 2002 Phys. Rev. Lett. 88 207902
29. Byrd M S and Lidar D A 2002 Quantum Inf. Process. 1 19
30. Byrd M S and Lidar D A 2003 Phys. Rev. A 67 012324
31. Kofman A G and Kurizki G 2004 Phys. Rev. Lett. 93 130406
32. Facchi P, Tasaki S, Pascazio S, Nakazato H, Tokuse A and Lidar D A 2005 Phys. Rev. A 71 022302
33. Fanchini F F, Hornos J E M and Napolitano R d J 2006 Protecting quantum logic operations by continuous application of external fields Preprint quant-ph/0611188
34. Mancini S and Bonifacio R 2001 Phys. Rev. A 64 042111
35. Mancini S, Vitali D, Tombesi P and Bonifacio R 2002 Europhys. Lett. 60 498
36. Mancini S, Vitali D, Tombesi P and Bonifacio R 2002 J. Opt. B: Quantum Semiclass. Opt. 4 S300
37. Brif C, Rabitz H, Wallentowitz S and Walmsley I A 2001 Phys. Rev. A 63 063404
38. Zhu W and Rabitz H 2003 J. Chem. Phys. 118 6751
39. Hohenester U and Stadler G 2004 Phys. Rev. Lett. 92 196801
40. Sklarz S E, Tannor D J and Khaneja N 2004 Phys. Rev. A 69 053408
41. Grigorenko I A and Khveshchenko D V 2005 Phys. Rev. Lett. 94 040506
42. Jirari H and Pötz W 2005 Phys. Rev. A 72 013409
43. Jirari H and Pötz W 2006 Phys. Rev. A 74 022306
44. Wenin M and Pötz W 2006 Phys. Rev. A 74 022319
45. Grace M, Brif C, Rabitz H, Walmsley I, Kosut R and Lidar D 2006 New J. Phys. 8 35
46. Rabitz H, de Vivie-Riedle R, Motzkus M and Kompa K 2000 Science 288 824
47. Walmsley I and Rabitz H 2003 Phys. Today 56 43
48. Peirce A P, Dahleh M A and Rabitz H 1988 Phys. Rev. A 37 4950
49. Dahleh M, Peirce A P and Rabitz H 1990 Phys. Rev. A 42 1065
50. Warren W, Rabitz H and Dahleh M 1993 Science 259 1581
51. Sanders G D, Kim K W and Holton W C 1999 Phys. Rev. A 59 1098
52. Palao J P and Kosloff R 2002 Phys. Rev. Lett. 89 188301
53. Palao J P and Kosloff R 2003 Phys. Rev. A 68 062308
54. Sklarz S E and Tannor D J 2004 Local control theory for unitary transformations: application to quantum computing without leakage Preprint quant-ph/0404081
55. Sklarz S E and Tannor D J 2006 Chem. Phys. 322 87
56. Khaneja N, Reiss T, Kehlet C, Schulte-Herbrüggen T and Glaser S J 2005 J. Mag. Res. 172 296
57. Spörl A, Schulte-Herbrüggen T, Glaser S J, Bergholm V, Storcz M J, Ferber J and Wilhelm F K 2007 Phys. Rev. A 75 012302
58. Grigorenko I A and Khveshchenko D V 2005 Phys. Rev. Lett. 95 110501
59. Schulte-Herbrüggen T, Spörl A, Khaneja N and Glaser S J 2006 Optimal control for generating quantum gates in open dissipative systems Preprint quant-ph/0609037
60. Hohenester U 2006 Phys. Rev. B 74 161307
61. Kosut R L, Grace M, Brif C and Rabitz H 2006 On the distance between unitary propagators of quantum systems of differing dimensions Preprint quant-ph/0606064
62. Reimpell M and Werner R F 2005 Phys. Rev. Lett. 94 080501
63. Kosut R L and Lidar D A 2006 Quantum error correction via convex optimization Preprint quant-ph/0606078
64. Childress L, Gurudev Dutt M V, Taylor J M, Zibrov A S, Jelezko F, Wrachtrup J, Hemmer P R and Lukin M D 2006 Science 314 281
65. Coish W A, Golovach V N, Egues J C and Loss D 2006 Phys. Stat. Sol. B 243 3658
66. Coish W A and Loss D 2004 Phys. Rev. B 70 195340
67. Gilchrist A, Langford N K and Nielsen M A 2005 Phys. Rev. A 71 062310
68. Phoenix S J D and Knight P L 1991 Phys. Rev. Lett. 66 2833
69. Reed M and Simon B 1980 Methods of Modern Mathematical Physics Functional Analysis vol 1 (New York: Academic)
70. Yip F, Mazziotti D and Rabitz H 2003 J. Chem. Phys. 118 8168
71. Ramakrishna V, Salapaka M V, Dahleh M, Rabitz H and Peirce A 1995 Phys. Rev. A 51 960
72. Turinici G and Rabitz H 2001 Chem. Phys. 267 1
73. Kraus K 1983 States, Effects and Operations: Fundamental Notions of Quantum Theory (Berlin: Springer)
74. Alicki R and Lendi K 1987 Quantum Dynamical Semigroups and Applications (Berlin: Springer)
75. Rabitz H, Hsieh M and Rosenthal C 2005 Phys. Rev. A 72 052337
76. Brif C, Rabitz H, Hsieh M, Walmsley I and Kosut R 2006 Robustness of optimally controlled unitary quantum operations (unpublished)
77. Mitra A and Rabitz H 2003 Phys. Rev. A 67 033407
78. Rothman A, Ho T S and Rabitz H 2005 Phys. Rev. A 72 023416