Sliding mode control of quantum systems

New Journal of Physics

Volumn 11, Issue , 2009, Pages

  Dong, Daoyi ^a   Petersen, Ian R ^a  

^a UNIVERSITY OF NEW SOUTH WALES   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

CLASSICAL CONTROL THEORY; CONTROL LAWS; CONTROL PERFORMANCE; EIGENSTATES; NOVEL METHODS; PROJECTIVE MEASUREMENT; QUANTUM SYSTEM; QUANTUM-INFORMATION PROCESSING; ROBUST CONTROL METHODS; SLIDING MODES; THREE LEVEL SYSTEMS; TWO-LEVEL SYSTEM;

DATA PROCESSING; INDUSTRIAL APPLICATIONS; QUANTUM ELECTRONICS; ROBUST CONTROL; SLIDING MODE CONTROL;

QUANTUM OPTICS;

EID: 72149089621     PISSN: 13672630     EISSN: None     Source Type: Journal    
DOI: 10.1088/1367-2630/11/10/105033     Document Type: Article

References (69)

1. Warren W S, Rabitz H and Dahleh M 1993 Science 259 1581
2. Rabitz H, de Vivie-Riedle R, Motzkus M and Kompa K 2000 Science 288 824
3. Chu S 2002 Nature 416 206
4. Rice S A and Zhao M S 2000 Optical Control of Molecular Dynamics (New York: Wiley)
5. Dantus M and Lozovoy V V 2004 Chem. Rev. 104 1813
6. Bonačić-Koutecký V and Mitrić R 2005 Chem. Rev. 105 11
7. Shapiro M and Brumer P 2003 Principles of the Quantum Control of Molecular Processes (Hoboken, NJ: Wiley)
8. Dowling J P and Milburn G J 2003 Phil. Trans. R. Soc. A 361 1655
9. Nielsen M A and Chuang IL 2000 Quantum Computation and Quantum Information (Cambridge: Cambridge University Press)
10. Santos L F and Viola L 2008 New J. Phys. 10 083009
11. Viola L and Lloyd S 1998 Phys. Rev. A 58 2733
12. Peirce A P, Dahleh M and Rabitz H 1988 Phys. Rev. A 37 4950
13. Khaneja N, Brockett R and Glaser S J 2001 Phys. Rev. A 63 032308
14. Wiseman H M and Milburn G J 1993 Phys. Rev. Lett. 70 548
15. Doherty A C, Habib S, Jacobs K, Mabuchi H and Tan S M 2000 Phys. Rev. A 62 012105
16. Lloyd S 2000 Phys. Rev. A 62 022108
17. van Handel R, Stockton J K and Mabuchi H 2005 J. Opt. B: Quantum Semiclass. Opt. 7 S179
18. van Handel R, Stockton J K and Mabuchi H 2005 IEEE Trans. Autom. Control 50 768
19. Mirrahimi M and van Handel R 2007 SIAM J. Control Optim. 46 445
20. Ahn C, Wiseman H M and Milburn G J 2003 Phys. Rev. A 67 052310
21. Mabuchi H 2008 Phys. Rev. A 78 032323
22. Yamamoto N, Nurdin H I, James M R and Petersen IR 2008 Phys. Rev. A 78 042339
23. Branderhorst MPA, Londero P, Wasylczyk P, Brif C, Kosut R L, Rabitz H and Walmsley I A 2008 Science 320 638
24. Brown E and Rabitz H 2002 J. Math. Chem. 31 17
25. Pravia M A, Boulant N, Emerson J, Fortunato E M, Havel T F, Cory D G and Farid A 2003 J. Chem. Phys. 119 9993
26. Zhang H and Rabitz H 1994 Phys. Rev. A 49 2241
27. Rabitz H 2002 Phys. Rev. A 66 063405
28. Bacon D, Lidar D A and Whaley K B 1999 Phys. Rev. A 60 1944
29. Viola L and Knill E 2003 Phys. Rev. Lett. 90 037901
30. Wesenberg J H 2004 Phys. Rev. A 69 042323
31. Stockton J K, Geremia J M, Doherty A C and Mabuchi H 2004 Phys. Rev. A 69 032109
32. Protopopescu V, Perez R, D'Helon C and Schmulen J 2003 J. Phys. A: Math. Gen. 36 2175
33. Duan L M, Lukin M D, Cirac J I and Zoller P 2001 Nature 414 413
34. Yamamoto N and Bouten L 2009 IEEE Trans. Autom. Control 54 92
35. D'Helon C and James M R 2006 Phys. Rev. A 73 053803
36. James M R, Nurdin H I and Petersen I R 2008 IEEE Trans. Autom. Control 53 1787
37. Utkin V I 1977 IEEE Trans. Autom. Control AC-22 212
38. Edwards C and Spurgeon S K 1998 Sliding Mode Control: Theory and Applications (London: Taylor and Francis)
39. Utkin V I, Guldner J and Shi J 1999 Sliding Mode Control in Electromechanical Systems (London: Taylor and Francis)
40. Dong D and Petersen I R 2009 Variable structure control of uncontrollable quantum systems Proc. 6th IFAC Symp. on Robust Control Design (Haifa, Israel) p 16
41. Vilela Mendes R and Man'ko V I 2003 Phys. Rev. A 67 053404
42. Turinici G and Rabitz H 2003 J. Phys. A: Math. Gen. 36 2565
43. Turinici G and Rabitz H 2001 Chem. Phys. 267 1
44. Tersigni S H, Gaspard P and Rice S A 1990 J. Chem. Phys. 93 1670
45. Dong D, Chen C, Tarn T J, Pechen A and Rabitz H 2008 IEEE Trans. Syst. Man Cybern.-Part B: Cybern. 38 957
46. Lidar D A, Chuang I L and Whaley K B 1998 Phys. Rev. Lett. 81 2594
47. Kwiat P G, Berglund A J, Altepeter J B and White A G 2000 Science 290 498
48. Schirmer S G, Fu H and Solomon A I 2001 Phys. Rev. A 63 063410
49. Gong J B and Rice S A 2004 J. Chem. Phys. 120 9984
50. Shuang F, Pechen A, Ho T S and Rabitz H 2007 J. Chem. Phys. 126 134303
51. Pechen A, Il'in N, Shuang F and Rabitz H 2006 Phys. Rev. A 74 052102
52. Dong D, Zhang C, Rabitz H, Pechen A and Tarn T J 2008 J. Chem. Phys. 129 154103
53. Roa L, Delgado A, Ladrón de Guevara M L and Klimov A B 2006 Phys. Rev. A 73 012322
54. Romano R and D'Alessandro D 2006 Phys. Rev. Lett. 97 080402
55. Romano R and D'Alessandro D 2006 Phys. Rev. A 73 022323
56. Sugny D, Kontz C and Jauslin H R 2007 Phys. Rev. A 76 023419
57. Boscain U and Mason P 2006 J. Math. Phys. 47 062101
58. Itano W M, Heinzen D J, Bollinger J J and Wineland D J 1990 Phys. Rev. A 41 2295
59. Dong D, Lam J and Tarn T J 2009 IET Control Theory Appl. 3 161
60. Knill E, Laflamme R and Zurek W H 1998 Science 279 342
61. Brassard G, Hoøyer P and Tapp A 1998 Lect. Not. Comput. Sci. 1443 820
62. Hoøyer P 2000 Phys. Rev. A 62 052304
63. Grover L K 1998 Phys. Rev. Lett. 80 4329
64. Long G L 2001 Phys. Rev. A 64 022307
65. Wu R, Pechen A, Brif C and Rabitz H 2007 J. Phys. A: Math. Theor. 40 5681
66. Shor P W 1995 Phys. Rev. A 52 R2493
67. Steane A M 1996 Phys. Rev. Lett. 77 793
68. Devitt S J, Schirmer S G, Qi D K L, Cole J H and Hollenberg LCL 2007 New J. Phys. 9 384
69. Kirk D E 1970 Optimal Control Theory: An Introduction (Englewood Cliffs, NJ: Prentice-Hall)