Evolution equation of entanglement for bipartite systems

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 79, Issue 2, 2009, Pages

  Li, Zong Guo ^a   Fei, Shao Ming ^b,c   Wang, Z D ^d   Liu, W M ^a  

^a INSTITUTE OF PHYSICS   (China)

^b CAPITAL NORMAL UNIVERSITY   (China)

^c UNIVERSITY OF BONN   (Germany)

^d UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

QUANTUM OPTICS;

BIPARTITE SYSTEMS; EVOLUTION EQUATIONS; MAXIMALLY ENTANGLED STATE; NOISY CHANNELS; TWO-QUBIT SYSTEMS;

DIFFERENTIAL EQUATIONS;

EID: 61549097791     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.79.024303     Document Type: Article

References (33)

1. C. H. Bennett and D. P. DiVincenzo, Nature (London) 404, 247 (2000). 10.1038/35005001
2. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, U.K., 2000).
3. T. Konrad, F. De Melo, M. Tiersch, C. Kasztelan, A. Aragão, and A. Buchleitner, Nat. Phys. 4, 99 (2008). 10.1038/nphys885
4. M. Tiersch, F. de Melo, and A. Buchleitner, Phys. Rev. Lett. 101, 170502 (2008). 10.1103/PhysRevLett.101.170502
5. T. Yu and J. H. Eberly, Phys. Rev. Lett. 97, 140403 (2006). 10.1103/PhysRevLett.97.140403
6. P. J. Dodd and J. J. Halliwell, Phys. Rev. A 69, 052105 (2004). 10.1103/PhysRevA.69.052105
7. K. Życzkowski, P. Horodecki, M. Horodecki, and R. Horodecki, Phys. Rev. A 65, 012101 (2001). 10.1103/PhysRevA.65.012101
8. F. Verstraete, J. Dehaene, and B. DeMoor, Phys. Rev. A 64, 010101 (R) (2001). 10.1103/PhysRevA.64.010101
9. G. Gour, Phys. Rev. A 71, 012318 (2005). 10.1103/PhysRevA.71.012318
10. K. Chen, C. M. Li, Q. Zhang, Y. A. Chen, A. Goebel, S. Chen, A. Mair, and J. W. Pan, Phys. Rev. Lett. 99, 120503 (2007); 10.1103/PhysRevLett.99.120503
11. Y. Tokunaga, S. Kuwashiro, T. Yamamoto, M. Koashi, and N. Imoto, Phys. Rev. Lett. 100, 210501 (2008). 10.1103/PhysRevLett.100.210501
12. Q. Zhang, A. Goebel, C. Wagenknecht, Y. A. Chen, B. Zhao, T. Yang, A. Mair, J. Schmiedmayer, and J. W. Pan, Nat. Phys. 2, 678 (2006). 10.1038/nphys417
13. D. A. Meyer and N. R. Wallach, J. Math. Phys. 43, 4273 (2002). 10.1063/1.1497700
14. V. Coffman, J. Kundu, and W. K. Wootters, Phys. Rev. A 61, 052306 (2000). 10.1103/PhysRevA.61.052306
15. T. Durt, N. J. Cerf, N. Gisin, and M. Żukowski, Phys. Rev. A 67, 012311 (2003); 10.1103/PhysRevA.67.012311
16. S. P. Walborn, D. S. Lemelle, M. P. Almeida, and P. H. Souto Ribeiro, Phys. Rev. Lett. 96, 090501 (2006). 10.1103/PhysRevLett.96.090501
17. W. Dür, G. Vidal, and J. I. Cirac, Phys. Rev. A 62, 062314 (2000). 10.1103/PhysRevA.62.062314
18. P. Rungta, V. Bužek, C. M. Caves, M. Hillery, and G. J. Milburn, Phys. Rev. A 64, 042315 (2001). 10.1103/PhysRevA.64.042315
19. W. K. Wootters, Phys. Rev. Lett. 80, 2245 (1998). 10.1103/PhysRevLett.80. 2245
20. F. Mintert, M. Kuś, and A. Buchleitner, Phys. Rev. Lett. 95, 260502 (2005); 10.1103/PhysRevLett.95.260502
21. S. P. Walborn, P. H. Souto Ribeiro, L. Davidovich, F. Mintert, and A. Buchleitner, Nature (London) 440, 1022 (2006). The quantity of Cαβ 2 can be obtained by performing a single joint measurement on the two copies of the pure state of interest. Actually, it is proportional to the probability of observing the two copies of the first subsystem in an antisymmetric state, which is proposed in the above papers. The quantity of concurrence C can also be obtained in a similar way. 10.1038/nature04627
22. W. K. Wootters, Quantum Inf. Comput. 1, 27 (2001).
23. K. Audenaert, F. Verstraete, and B. De Moor, Phys. Rev. A 64, 052304 (2001); 10.1103/PhysRevA.64.052304
24. S. J. Akhtarshenas, J. Phys. A 38, 6777 (2005). 10.1088/0305-4470/38/30/ 011
25. S. Albeverio and S. M. Fei, J. Opt. B: Quantum Semiclassical Opt. 3, 223 (2001). 10.1088/1464-4266/3/4/305
26. N. Gisin, Phys. Lett. A 210, 151 (1996). 10.1016/S0375-9601(96)80001-6
27. K. Kraus, States, Effect, and Operations: Fundamental Notions in Quantum Theory (Springer-Verlag, Berlin, 1983).
28. T. Yu and J. H. Eberly, Opt. Commun. 264, 393 (2006). 10.1016/j.optcom.2006.01.061
29. M. P. Almeida, F. de Melo, M. Hor-Meyll, A. Salles, S. P. Walborn, P. H. Souto Ribeiro, and L. Davidovich, Science 316, 579 (2007). 10.1126/science. 1139892
30. T. J. Osborne and F. Verstraete, Phys. Rev. Lett. 96, 220503 (2006). 10.1103/PhysRevLett.96.220503
31. C. S. Yu and H. S. Song, Phys. Rev. A 71, 042331 (2005). 10.1103/PhysRevA.71.042331
32. G. Vidal, J. Mod. Opt. 47, 355 (2000).
33. Alexander Wong and Nelson Christensen, Phys. Rev. A 63, 044301 (2001). 10.1103/PhysRevA.63.044301