Finding the Kraus decomposition from a master equation and vice versa

Journal of Modern Optics

Volumn 54, Issue 12, 2007, Pages 1695-1716

  Andersson, Erika ^a   Cresser, James D ^b   Hall, Michael J W ^c  

^a UNIVERSITY OF STRATHCLYDE   (United Kingdom)

^b MACQUARIE UNIVERSITY   (Australia)

^c AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; HILBERT SPACES;

KRAUS-TYPE REPRESENTATIONS; LINDBLAD FORM; MASTER EQUATION; MATRIX TIME EVOLUTION;

MARKOV PROCESSES;

EID: 34548526935     PISSN: 09500340     EISSN: 13623044     Source Type: Journal    
DOI: 10.1080/09500340701352581     Document Type: Conference Paper

References (33)

1. S. Nakajima, Prog. Theor. Phys. 20 948 (1958).
2. R. Zwanzig, J. Chem. Phys. 33 1338 (1960).
3. S. Chaturvedi and J. Shibata, Z. Phys. B 35 297 (1979).
4. N.H.F. Shibata and Y. Takahashi, J. Stat. Phys. 17 171 (1977).
5. G. Lindblad, Commun. Math. Phys. 48 119 (1976).
6. H.-P. Breuer and F. Petruccione, The Theory of Open Quantum Systems (Oxford University Press, Oxford, 2002).
7. R. Alicki, D.A. Lidar and P. Zanardi, Phys. Rev. A 73 052311 (2006).
8. B.M. Terhal and G. Burkard, Phys. Rev. A 71 012336 (2005).
9. D. Aharonov, A. Kitaev and J. Preskill, Phys. Rev. Lett. 96 050504 (2006).
10. P. Aliferis, D. Gottesman and J. Preskill, Quant. Inf. Comput. 6 97 (2006).
11. H.J. Carmichael, An Open Systems Approach to Quantum Optics (Springer-Verlag, Berlin, 1993).
12. M.B. Plenio and P.L. Knight, Rev. Mod. Phys. 70 101 (1998).
13. U. Kleinekathöfer, I. Kondov and M. Schreiber, Phys. Rev. E 66 037701 (2002).
14. F. Intravaia, S. Maniscalco, J. Piilo, et al., Phys. Lett. A 308 6 (2003).
15. H.-P. Breuer, B. Kappler and F. Petruccione, Phys. Rev. A 59 1633 (1999).
16. H.P. Breuer, Eur. Phys. J. D 29 105 (2004).
17. H.P. Breuer, Phys. Rev. A 69 022115 (2004).
18. J.D. Cresser and S.M. Pickles, J. Quantum Semiclass. Opt. 8 73 (1996).
19. A.A. Budini, Phys. Rev. A 64 052110 (2001).
20. A.A. Budini, Phys. Rev. A 69 042107 (2004).
21. K. Kraus, States, Effects and Operations (Springer-Verlag, Berlin, 1983).
22. J.D. Cresser, unpublished.
23. M.-D. Choi, Lin. Alg. Appl. 10 285 (1975).
24. C.M. Caves, J. Supercond. 12 707 (1999); also published as quant-ph/9811082.
25. L. Diósi, N. Gisin and W.T. Strunz, Phys. Rev. A 58 1699 (1998).
26. R.A. Horn and CR. Johnson, Matrix Analysis (Cambridge University Press, Cambridge, 1985).
27. B.M. Garraway, Phys. Rev. A 55 2290 (1997).
28. A.J. van Wonderen and K. Lendi, J. Stat. Phys. 100 633 (2000).
29. C.W. Gardiner, A.S. Parkins and P. Zoller, Phys. Rev. A 46 4363 (1992).
30. R. Dum, P. Zoller and H. Ritsch, Phys. Rev. A 45 4879 (1992).
31. J. Dalibard, Y. Castin and K. Mølmer, Phys. Rev. Lett. 68 580 (1992).
32. K. Mølmer, Y. Castin and J. Dalibard, J. Opt. Soc. Am B 10 524 (1993).
33. H. Nakazato, Y. Hida, K. Yuasa, et al., Phys. Rev. A 74 062113 (2006).