Measures of non-Markovianity: Divisibility versus backflow of information

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 83, Issue 5, 2011, Pages

  Chruciński, Dariusz ^a   Kossakowski, Andrzej ^a   Rivas, Angel ^b,c  

^a NICOLAUS COPERNICUS UNIVERSITY   (Poland)

^b UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

^c UNIVERSITY OF ULM   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BACKFLOW; DISTINGUISHABILITY; QUANTUM STATE;

EID: 79961042728     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.83.052128     Document Type: Article

References (44)

1. H.-P. Breuer and F. Petruccione, The Theory of Open Quantum Systems (Oxford University Press, Oxford, 2007).
2. U. Weiss, Quantum Dissipative Systems (World Scientific, Singapore, 2000).
3. R. Alicki and K. Lendi, Quantum Dynamical Semigroups and Applications (Springer, Berlin, 1987).
4. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2000).
5. V. Gorini, A. Kossakowski, and E. C. G. Sudarshan, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.522979 17, 821 (1976).
6. G. Lindblad, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF01608499 48, 119 (1976).
7. C. W. Gardiner and P. Zoller, Quantum Noise (Springer-Verlag, Berlin, 1999).
8. C. W. Lai, P. Maletinsky, A. Badolato, and A. Imamoglu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.167403 96, 167403 (2006). (Pubitemid 43667802)
9. M. B. Plenio and P. L. Knight, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.70.101 70, 101 (1998). (Pubitemid 128022010)
10. D. Aharonov, A. Kitaev, and J. Preskill, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.050504 96, 050504 (2006). (Pubitemid 43270971)
11. D. Chruciński, A. Kossakowski, and S. Pascazio, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.032101 81, 032101 (2010).
12. T. Yu and J. H. Eberly, Opt. Commun. OPCOB8 0030-4018 10.1016/j.optcom.2006.01.061 264, 393 (2006); (Pubitemid 44162943)
13. T. Yu and J. H. Eberly, Quantum Inf. Comput. 7, 459 (2007);
14. T. Yu and J. H. Eberly, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.140403 97, 140403 (2006). (Pubitemid 44498539)
15. See, e.g., J. Wilkie, Phys. Rev. E PRLTAO 1539-3755 10.1103/PhysRevE.62. 8808 62, 8808 (2000); (Pubitemid 32087949)
16. J. Wilkie and Y. M. Wong, J. Phys. A: Math. Theor. PRLTAO 1751-8113 10.1088/1751-8113/42/1/015006 42, 015006 (2009);
17. A. A. Budini, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.042107 69, 042107 (2004);
18. H.-P. Breuer, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.69.022115 69, 022115 (2004);
19. H.-P. Breuer, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.012106 70, 012106 (2004);
20. S. Daffer, K. Wódkiewicz, J. D. Cresser, and J. K. McIver, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.010304 70, 010304 (2004);
21. A. Shabani and D. A. Lidar, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.020101 71, 020101 (R) (2005); (Pubitemid 43286575)
22. S. Maniscalco, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.024103 72, 024103 (2005); (Pubitemid 41493293)
23. S. Maniscalco and F. Petruccione, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.012111 73, 012111 (2006); (Pubitemid 43270069)
24. J. Piilo, K. Härkönen, S. Maniscalco, and K.-A. Suominen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.100.180402 100, 180402 (2008); (Pubitemid 351654659)
25. J. Piilo, S. Maniscalco, K. Härkönen, and K.-A. Suominen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.79.062112 79, 062112 (2009);
26. A. Kossakowski and R. Rebolledo, Open Syst. Inf. Dyn. PLRAAN 1230-1612 10.1007/s11080-007-9051-5 14, 265 (2007);
27. A. Kossakowski and R. Rebolledo, Open Syst. Inf. Dyn. PLRAAN 1230-1612 10.1142/S1230161209000190 16, 259 (2009);
28. H.-P. Breuer and B. Vacchini, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.140402 101, 140402 (2008);
29. H.-P. Breuer and B. Vacchini, Phys. Rev. E PRLTAO 1539-3755 10.1103/PhysRevE.79.041147 79, 041147 (2009);
30. D. Chruciński and A. Kossakowski, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.070406 104, 070406 (2010).
31. M. M. Wolf and J. I. Cirac, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/s00220-008-0411-y 279, 147 (2008);
32. 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).
33. A. Rivas, S. F. Huelga, and M. B. Plenio, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.050403 105, 050403 (2010).
34. H.-P. Breuer, E.-M. Laine, and J. Piilo, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.210401 103, 210401 (2009).
35. P. Haikka, J. D. Cresser, and S. Maniscalco, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.83.012112 83, 012112 (2011).
36. E.-M. Laine, J. Piilo, and H.-P. Breuer, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.062115 81, 062115 (2010).
37. L. Mazzola, E.-M. Laine, H.-P. Breuer, S. Maniscalco, and J. Piilo, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.062120 81, 062120 (2010).
38. T. J. G. Apollaro, C. Di Franco, F. Plastina, and M. Paternostro, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.83.032103 83, 032103 (2011).
39. A. Kossakowski, Bull. Acad. Pol. Sci. Sér. Math. Astr. Phys. 20, 1021 (1972).
40. M. Hayashi, Quantum Information: An Introduction (Springer-Verlag, Berlin, 2006).
41. C. W. Helstrom, Quantum Detection and Estimation Theory (Academic Press, New York, 1976).
42. 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);
43. S. Maniscalco and F. Petruccione, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.012111 73, 012111 (2006); (Pubitemid 43270069)
44. S. Maniscalco, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.062103 75, 062103 (2007). (Pubitemid 47014726)