Decorrelating capabilities of operations with application to decoherence

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 82, Issue 5, 2010, Pages

  Luo, Shunlong ^a   Fu, Shuangshuang ^a   Li, Nan ^a  

^a CHINESE ACADEMY OF SCIENCES   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ANCILLA; BIPARTITE STATE; CLASSICAL CORRELATION; DAMPING CHANNEL; DECOHERENCE; DECOHERENT CHANNEL; DECORRELATION MEASURES; DECORRELATIONS; INTRINSIC RELATION; PHASE DAMPING; QUANTUM CORRELATIONS; SYSTEM INFORMATION; SYSTEM STATE;

DAMPING; DEPOLARIZATION;

QUANTUM THEORY;

EID: 78650983862     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.82.052122     Document Type: Article

References (64)

1. M. Choi, Linear Algebra Its Appl. LAAPAW 0024-3795 10.1016/0024-3795(75) 90075-0 10, 285 (1975).
2. K. Kraus, States, Effects and Operations: Fundamental Notions of Quantum Theory (Springer, Berlin, 1983).
3. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, UK, 2000).
4. W. H. Zurek, Phys. Today PHTOAD 0031-9228 10.1063/1.881293 44, 36 (1991).
5. E. Joos, H. D. Zeh, C. Kiefer, D. Giulini, J. Kupsch, and I. O. Stamatescu, Decoherence and the Appearance of a Classical World in Quantum Theory, 2nd ed. (Springer, Berlin, 2003).
6. M. Schlosshauer, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.76. 1267 76, 1267 (2004). (Pubitemid 40648309)
7. M. Schlosshauer, Decoherence and the Quantum-to-Classical Transition (Springer, Berlin, 2007).
8. J. M. Cai, Z. W. Zhou, and G. C. Guo, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.022312 72, 022312 (2005). (Pubitemid 41493139)
9. M. P. Almeida, F. de Melo, M. Hor-Meyll, A. Salles, S. P. Walborn, P. H. Souto Ribeiro, and L. Davidovich, Science SCIEAS 0036-8075 10.1126/science. 1139892 316, 579 (2007). (Pubitemid 46683139)
10. M. Tiersch, F. de Melo, and A. Buchleitner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.170502 101, 170502 (2008).
11. T. Konard, F. de Melo, M. Tiersch, C. Kasztelan, A. Aragao, and A. Buchleitner, Nature Phys. PRLTAO 1745-2473 10.1038/nphys885 4, 99 (2008).
12. T. Yu and J. H. Eberly, Science SCIEAS 0036-8075 10.1126/science.1167343 323, 598 (2009).
13. X. Wang, A. Miranowicz, Y. X. Liu, C. P. Sun, and F. Nori, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.022106 81, 022106 (2010).
14. B. Schumacher and M. A. Nielsen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.54.2629 54, 2629 (1996).
15. S. Lloyd, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.55.1613 55, 1613 (1997).
16. C. Adami and N. J. Cerf, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.56.3470 56, 3470 (1997).
17. H. Barnum, M. A. Nielsen, and B. Schumacher, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.57.4153 57, 4153 (1998).
18. B. Schumacher and M. D. Westmoreland, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.5695 80, 5695 (1998).
19. C. H. Bennett, P. W. Shor, J. A. Smolin, and A. V. Thapliyal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.83.3081 83, 3081 (1999);
20. C. H. Bennett, P. W. Shor, J. A. Smolin, and A. V. Thapliyal, IEEE Trans. Inform. Theory IETTAW 0018-9448 10.1109/TIT.2002.802612 48, 2637 (2002). (Pubitemid 35170324)
21. I. Devetak, IEEE Trans. Inform. Theory IETTAW 0018-9448 10.1109/TIT.2004.839515 51, 44 (2005). (Pubitemid 40145986)
22. I. Devetak and P. W. Shor, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/s00220-005-1317-6 256, 287 (2005). (Pubitemid 40579680)
23. A. S. Holevo, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1495877 43, 4326 (2002).
24. R. García-Patrón, S. Pirandola, S. Lloyd, and J. H. Shapiro, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.210501 102, 210501 (2009).
25. X. Cao, N. Li, and S. Luo, in Recent Development in Stochastic Dynamics and Stochastic Analysis, edited by, J. Duan, S. Luo, and, C. Wang, (World Scientific, Singapore, 2010), pp. 23-42.
26. I. Bengtsson and K. Zyczkowski, Geometry of Quantum States: An Introduction to Quantum Entanglement (Cambridge University Press, Cambridge, UK, 2006).
27. A. Jamiolkowski, Rep. Math. Phys. RMHPBE 0034-4877 10.1016/0034-4877(72) 90011-0 3, 275 (1972).
28. H. Ollivier and W. H. Zurek, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.017901 88, 017901 (2001).
29. L. Henderson and V. Vedral, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/34/35/315 34, 6899 (2001).
30. S. Luo, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77.042303 77, 042303 (2008). (Pubitemid 351490828)
31. A. Datta and S. Gharibian, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.79.042325 79, 042325 (2009).
32. M. S. Sarandy, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.80.022108 80, 022108 (2009).
33. T. Werlang, S. Souza, F. F. Fanchini, and C. J. Villas Boas, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.80.024103 80, 024103 (2009).
34. J. Maziero, L. C. Celeri, R. M. Serra, and V. Vedral, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.80.044102 80, 044102 (2009).
35. A. Ferraro, L. Aolita, D. Cavalcanti, F. M. Cucchietti, and A. Acín, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.052318 81, 052318 (2010).
36. J.-S. Xu, X.-Y. Xu, C.-F. Li, C.-J. Zhang, X.-B. Zou, and G.-C. Guo, Nature Commun. 1, 7 (2010).
37. C. A. Rodríguez-Rosario, K. Modi, and A. Aspuru-Guzik, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.012313 81, 012313 (2010).
38. B. Wang, Z. Y. Xu, Z. Q. Chen, and M. Feng, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.014101 81, 014101 (2010).
39. Y. X. Chen and S. W. Li, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.032120 81, 032120 (2010).
40. R. C. Ge, M. Gong, C. F. Li, J. S. Xu, and G. C. Guo, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.064103 81, 064103 (2010).
41. L. Mazzola, J. Piilo, and S. Maniscalco, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.200401 104, 200401 (2010).
42. J. Cui and H. Fan, J. Phys. A PRLTAO 1751-8113 10.1088/1751-8113/43/4/ 045305 43, 045305 (2010).
43. B. Dakic, V. Vedral, and C. Brukner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.190502 105, 190502 (2010).
44. M. D. Lang and C. M. Caves, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.150501 105, 150501 (2010).
45. S. Luo and S. Fu, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.82. 034302 82, 034302 (2010).
46. S. Luo and W. Sun, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.82. 012338 82, 012338 (2010).
47. V. Vedral, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.74.197 74, 197 (2002).
48. B. Groisman, S. Popescu, and A. Winter, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.032317 72, 032317 (2005). (Pubitemid 41776479)
49. B. Schumacher and M. D. Westmoreland, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.042305 74, 042305 (2006). (Pubitemid 44537095)
50. N. Li and S. Luo, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76. 032327 76, 032327 (2007). (Pubitemid 47510042)
51. M. Ruskai, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1497701 43, 4358 (2002).
52. D. Petz, Rev. Math. Phys. RMPHEX 0129-055X 10.1142/S0129055X03001576 15, 79 (2003). (Pubitemid 36344982)
53. P. Hayden, R. Jozsa, D. Petz, and A. Winter, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/s00220-004-1049-z 246, 359 (2004). (Pubitemid 38545927)
54. R. Jozsa and B. Schumacher, J. Mod. Opt. JMOPEW 0950-0340 10.1080/09500349414552191 41, 2343 (1994).
55. S. Luo, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.77.022301 77, 022301 (2008). (Pubitemid 351321490)
56. S. Luo and Q. Zhang, J. Stat. Phys. JSTPBS 0022-4715 10.1007/s10955-008- 9534-y 131, 1169 (2008).
57. M. Ozawa, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.527179 27, 759 (1986).
58. F. Buscemi, G. Chiribella, and G. M. D'Ariano, Open Syst. Inform. Dyn. JMAPAQ 1230-1612 10.1007/s11080-007-9028-4 14, 53 (2007).
59. F. Buscemi, G. Chiribella, and G. M. D'Ariano, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.090501 95, 090501 (2005). (Pubitemid 41505827)
60. K. Bradler, P. Hayden, D. Touchette, and M. M. Wilde, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.81.062312 81, 062312 (2010).
61. J. Oppenheim, M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.180402 89, 180402 (2002).
62. M. Horodecki, P. Horodecki, R. Horodecki, J. Oppenheim, A. Sen, U. Sen, and B. Synak-Radtke, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.062307 71, 062307 (2005). (Pubitemid 41481144)
63. S. Luo and Q. Zhang, J. Stat. Phys. JSTPBS 0022-4715 10.1007/s10955-009- 9779-0 136, 165 (2009).
64. K. Modi, T. Paterek, W. Son, V. Vedral, and M. Williamson, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.080501 104, 080501 (2010).