Measure for the non-Markovianity of quantum processes

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 81, Issue 6, 2010, Pages

  Laine, Elsi Mari ^a   Piilo, Jyrki ^a   Breuer, Heinz Peter ^b  

^a UNIVERSITY OF TURKU   (Finland)

^b UNIVERSITY OF FREIBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ALTERNATIVE APPROACH; DISTINGUISHABILITY; INFORMATION FLOWS; MATHEMATICAL DETAILS; NON-MARKOVIAN BEHAVIOR; PHYSICAL MODEL; QUANTUM PROCESS; QUANTUM STATE; RATE OF CHANGE; TRACE DISTANCES;

MODELS;

OPEN SYSTEMS;

EID: 77953599252     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.81.062115     Document Type: Article

References (33)

1. V. Gorini, A. Kossakowski, and E. C. G. Sudarshan, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.522979 17, 821 (1976).
2. G. Lindblad, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF01608499 48, 119 (1976).
3. H. P. Breuer and F. Petruccione, The Theory of Open Quantum Systems (Oxford University Press, Oxford, 2002).
4. J. Piilo, S. Maniscalco, K. Härkönen, and K.-A. Suominen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.180402 100, 180402 (2008);
5. J. Piilo, K. Härkönen, S. Maniscalco, and K.-A. Suominen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.79.062112 79, 062112 (2009);
6. H. P. Breuer and J. Piilo, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/85/50004 85, 50004 (2009).
7. M. M. Wolf, J. Eisert, T. S. Cubitt, and J. I. Cirac, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.150402 101, 150402 (2008).
8. A. Rivas, S. F. Huelga, and M. B. Plenio, e-print arXiv: 0911.4270v1.
9. H. P. Breuer and B. Vacchini, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.140402 101, 140402 (2008);
10. H. P. Breuer and B. Vacchini, Phys. Rev. E PRLTAO 1539-3755 10.1103/PhysRevE.79.041147 79, 041147 (2009).
11. H. P. Breuer, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.012106 70, 012106 (2004).
12. D. Chruściński, A. Kossakowski, and S. Pascazio, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.032101 81, 032101 (2010).
13. H. Krovi, O. Oreshkov, M. Ryazanov, and D. A. Lidar, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.052117 76, 052117 (2007).
14. A. J. van Wonderen and K. Lendi, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2005-10147-6 71, 737 (2006).
15. A. A. Budini, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.053815 74, 053815 (2006).
16. S. M. Barnett and S. Stenholm, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.64.033808 64, 033808 (2001).
17. J. Wilkie and Y. M. Wong, J. Phys. A PLRAAN 1751-8113 10.1088/1751-8113/42/1/015006 42, 015006 (2009).
18. S. Daffer, K. Wódkiewicz, J. D. Cresser, and J. K. McIver, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.010304 70, 010304 (R) (2004).
19. A. Kossakowski and R. Rebolledo, Open Syst. Inf. Dyn. PLRAAN 1230-1612 10.1142/S1230161208000122 15, 135 (2008);
20. A. Kossakowski and R. Rebolledo, Open Syst. Inf. Dyn. PLRAAN 1230-1612 10.1142/S1230161209000190 16, 259 (2009).
21. A. Shabani and D. A. Lidar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.100402 102, 100402 (2009).
22. H. P. Breuer, E.-M. Laine, and J. Piilo, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.210401 103, 210401 (2009).
23. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2000).
24. A. Gilchrist, N. K. Langford, and M. A. Nielsen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.062310 71, 062310 (2005).
25. M. M. Wolf and J. I. Cirac, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/s00220-008-0411-y 279, 147 (2008).
26. G. Lindblad, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF01609396 40, 147 (1975).
27. K. Lendi, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01019155 50, 1103 (1988).
28. X. Wang and S. G. Schirmer, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.79.052326 79, 052326 (2009).
29. S. Maniscalco, J. Piilo, F. Intravaia, F. Petruccione, and A. Messina, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.052101 69, 052101 (2004).
30. C. J. Myatt, B. E. King, Q. A. Turchette, C. A. Sackett, D. Kielpinski, W. M. Itano, C. Monroe, and D. J. Wineland, Nature NATUAS 0028-0836 10.1038/35002001 403, 269 (2000).
31. J. Piilo and S. Maniscalco, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.032303 74, 032303 (2006).
32. G. S. Engel, T. R. Calhoun, E. L. Read, T.-K. Ahn, T. Mančal, Y.-C. Cheng, R. E. Blankenship, and G. R. Fleming, Nature NATUAS 0028-0836 10.1038/nature05678 446, 782 (2007).
33. M. D. Choi, Linear Algebra Appl. LAAPAW 0024-3795 10.1016/0024-3795(75) 90075-0 10, 285 (1975).