Selective quantum evolution of a qubit state due to continuous measurement

Physical Review B - Condensed Matter and Materials Physics

Volumn 63, Issue 11, 2001, Pages

  Korotkov, Alexander N ^a,b  

^a STONY BROOK UNIVERSITY   (United States)

^b University of California Riverside   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CALCULATION; ELECTRON TRANSPORT; EVOLUTION; MOLECULAR PHYSICS; QUANTUM MECHANICS; SOLID STATE;

EID: 0034895831     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.63.115403     Document Type: Article

References (85)

1. C. Bennett, Phys. Today, 48, (10), 24 (1995).
2. C. Bennett, Quantum Theory of Measurement, edited by J.A. Wheeler and W.H. Zurek (Princeton University Press, Princeton, NJ, 1983).
3. V.B. Braginsky and F.Ya. Khalili, Quantum Measurement (Cambridge University Press, Cambridge 1992).
4. D. Giulini, E. Joos, C. Kiefer, J. Kupsch, I.-O. Stamatescu, and H. D. Zeh, Decoherence and the Appearance of a Classical World in Quantum Theory (Springer-Verlag, Berlin, 1996).
5. D. Loss and D.P. DiVincenzo, Phys. Rev. A, 57, 120 (1998).
6. B.E. Kane, Nature (London), 393, 133 (1998).
7. D.V. Averin, Solid State Commun., 105, 659 (1998).
8. Yu. Makhlin, G. Schön, and A. Shnirman, Nature (London), 398, 305 (1999).
9. J.E. Mooij, T.P. Orlando, L. Levitov, L. Tian, C.H. van der Wal, and S. Lloyd, Science, 285, 1036 (1999).
10. J. von Neumann, Mathematical Foundations of Quantum Mechanics (Princeton University Press, Princeton, NJ, 1955).
11. G. Lüders, Ann. Phys. (Leipzig), 8, 323 (1951).
12. A. Messiah, Quantum Mechanics (Wiley, New York, 1961).
13. A.O. Caldeira and A.J. Leggett, Ann. Phys. (N.Y.), 149, 374 (1983).
14. U. Weiss, Quantum Dissipative Systems (World Scientific, Singapore, 1993).
15. W.H. Zurek, Phys. Today, 44, (10), 36 (1991).
16. E. Joos and H.D. Zeh, Z. Phys. B: Condens. Matter, 59, 223 (1985).
17. H.J. Carmichael, An Open System Approach to Quantum Optics, Lecture Notes in Physics (Springer, Berlin, 1993).
18. M.B. Plenio and P.L. Knight, Rev. Mod. Phys., 70, 101 (1998).
19. M.B. Mensky, Phys. Usp., 41, 923 (1998).
20. N. Gisin, Phys. Rev. Lett., 52, 1657 (1984).
21. C.M. Caves, Phys. Rev. D, 33, 1643 (1986)
22. C.M. Caves, Phys. Rev. D., 35, 1815 (1987).
23. P. Zoller, M. Marte, and D.F. Walls, Phys. Rev. A, 35, 198 (1987).
24. L. Diosi, J. Phys. A, 21, 2885 (1988).
25. V.P. Belavkin and P. Staszewsky, Phys. Rev. A, 45, 1347 (1992).
26. J. Dalibard, Y. Castin, and K. Molmer, Phys. Rev. Lett., 68, 580 (1992).
27. N. Gisin and I.C. Percival, J. Phys. A, 25, 5677 (1992).
28. H.M. Wiseman and G.J. Milburn, Phys. Rev. A, 47, 1652 (1993).
29. M.J. Gagen, H.M. Wiseman, and G.J. Milburn, Phys. Rev. A, 48, 132 (1993).
30. G.C. Hegerfeldt, Phys. Rev. A, 47, 449 (1993).
31. R.B. Griffiths, Phys. Rev. Lett., 70, 2201 (1993).
32. H.M. Wiseman, Phys. Rev. A, 49, 2133 (1994).
33. T. Calarco and R. Onofrio, Phys. Lett. A, 198, 279 (1995).
34. C. Presilla, R. Onofrio, and U. Tambini, Ann. Phys. (N.Y.), 248, 95 (1996).
35. A.N. Korotkov, Phys. Rev. B, 60, 5737 (1999).
36. A.C. Doherty and K. Jacobs, Phys. Rev. A, 60, 2700 (1999)
37. A.C. Doherty, S. Habib, K. Jacobs, H. Mabuchi, and S.M. Tan, Phys. Rev. A., 62, 012105 (2000).
38. A.N. Korotkov, Physica B, 280, 412 (2000).
39. H.-S. Goan, G.J. Milburn, H.M. Wiseman, and H.B. Sun, cond-mat/0006333 (unpublished).
40. E. B. Davies, Quantum Theory of Open Systems (Academic, London, 1976).
41. K. Kraus, States, Effects, and Operations: Fundamental Notions of Quantum Theory (Springer, Berlin, 1983).
42. C.W. Gardiner, Quantum Noise (Springer, Heidelberg, 1991), Chap. 2.2.
43. A.N. Korotkov, Phys. Rev. B (to be published).
44. A.N. Korotkov, cond-mat/0008003 (unpublished).
45. S.A. Gurvitz, Phys. Rev. B, 56, 15 215 (1997).
46. E. Buks, R. Schuster, M. Heiblum, D. Mahalu, and V. Umansky, Nature (London), 391, 871 (1998).
47. D. Sprinzak, E. Buks, M. Heiblum, and H. Shtrikman, Phys. Rev. Lett., 84, 5820 (2000).
48. I.L. Aleiner, N.S. Wingreen, and Y. Meir, Phys. Rev. Lett., 79, 3740 (1997).
49. Y. Levinson, Europhys. Lett., 39, 299 (1997).
50. L. Stodolsky, Phys. Lett. B, 459, 193 (1999).
51. G. Hackenbroich, B. Rosenov, and H.A. Weidenmüller, Phys. Rev. Lett., 81, 5896 (1998).
52. A.N. Korotkov and D.V. Averin, cond-mat/0002203 (unpublished).
53. D.V. Averin, cond-mat/0004364 (unpublished).
54. G.B. Lesovik, Pis’ma Zh. Éksp. Teor. Fiz. 49, 513 (1989) [JETP Lett., 49, 592 (1989)].
55. A. Shnirman and G. Schön, Phys. Rev. B, 57, 15 400 (1998).
56. Y. Nakamura, Yu. A. Pashkin, and J.S. Tsai, Nature (London), 398, 786 (1999).
57. D.V. Averin and K.K. Likharev, in Mesoscopic Phenomena in Solids, edited by B.L. Altshuler, P.A. Lee, and R.A. Webb (Elsevier, Amsterdam, 1991), p. 173.
58. A.N. Korotkov, D.V. Averin, K.K. Likharev, and S.A. Vasenko, in Single-Electron Tunneling and Mesoscopic Devices, edited by H. Koch and H. Lübbig (Springer, Berlin, 1992), p. 45.
59. A.N. Korotkov, Phys. Rev. B, 49, 10 381 (1994).
60. J.R. Friedman, V. Patel, W. Chen, S.K. Tolpygo, and J.E. Lukens, Nature (London), 406, 43 (2000)
61. S. Han, J. Lapointe, and J.E. Lukens, Phys. Rev. Lett., 66, 810 (1991).
62. K.K. Likharev, Dynamics of Josephson Junctions and Circuits (Gordon and Breach, New York, 1986).
63. M. Scully and W.E. Lamb, Phys. Rev. Lett., 16, 853 (1966).
64. R.A. Harris and L. Stodolsky, J. Chem. Phys., 74, 2145 (1981).
65. Yu. Makhlin, G. Schön, and A. Shnirman, Phys. Rev. Lett., 85, 4578 (2000).
66. V.V. Danilov, K.K. Likharev, and A.B. Zorin, IEEE Trans. Magn., 19, 572 (1983).
67. Yu. Makhlin, G. Schön, and A. Shnirman, cond-mat/9811029 (unpublished).
68. S.A. Gurvitz, quant-ph/9808058 (unpublished).
69. T. Bayes, Philos. Trans. R. Soc. London, 53, 370 (1763).
70. E. Borel, Elements of the Theory of Probability (Prentice-Hall, Englewood Cliffs, NJ, 1965).
71. C. Presilla, R. Onofrio, and M. Patriarca, J. Phys. A, 30, 7385 (1997).
72. B. Øksendal, Stochastic Differential Equations (Springer, Berlin, 1998).
73. A.B. Zorin, Phys. Rev. Lett., 76, 4408 (1996).
74. A. Maassen van den Brink, quant-ph/0009163 (unpublished).
75. D.V. Averin, cond-mat/0010052 (unpublished).
76. D.V. Averin, quant-ph/0008114 (unpublished).
77. M. Fortunato, J.M. Raimond, P. Tombesi, and D. Vitali, Phys. Rev. A, 60, 1687 (1999).
78. S. Lloyd and J.E. Slotine, Phys. Rev. A, 62, 012307 (2000)
79. L. Viola, E. Knill, and S. Lloyd, Phys. Rev. Lett., 82, 2417 (1999).
80. A.J. Leggett and A. Garg, Phys. Rev. Lett., 54, 857 (1985)
81. A.J. Leggett, A. Garg, Phys. Rev. Lett., 54, 2724 (1985)
82. A.J. Leggett, A. Garg, Phys. Rev. Lett., 59, 1621 (1987)
83. A.J. Leggett, A. Garg, Phys. Rev. Lett., 63, 2159 (1989).
84. H. Everett, Rev. Mod. Phys., 29, 454 (1957).
85. B.S. De Witt, Phys. Today, 23, (9), 30 (1970).