Necessary and sufficient conditions for the entanglement sudden death under amplitude damping and phase damping

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 76, Issue 6, 2007, Pages

  Huang, Jie Hui ^a   Zhu, Shi Yao ^a,b  

^a HONG KONG BAPTIST UNIVERSITY   (Hong Kong)

^b UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA   (China)

Author keywords

[No Author keywords available]

Indexed keywords

DAMPING; QUANTUM THEORY;

AMPLITUDE DAMPING; PERES-HORODECKI CRITERION; PHASE DAMPING;

ATOMIC PHYSICS;

EID: 37649024427     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.76.062322     Document Type: Article

References (35)

1. A. K. Ekert, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.67.661 67, 661 (1991).
2. C. H. Bennett and S. J. Wiesner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.69.2881 69, 2881 (1992).
3. C. H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres, and W. K. Wootters, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.70.1895 70, 1895 (1993).
4. X. B. Zou and W. Mathis, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.013809 72, 013809 (2005)
5. D. L. Zhou, B. Sun, C. P. Sun, and L. You, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.040302 72, 040302 (R) (2005)
6. P. Dong, Z. Y. Xue, M. Yang, and Z. L. Cao, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.033818 73, 033818 (2006)
7. Z. J. Deng, M. Feng, and K. L. Gao, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.014302 73, 014302 (2006)
8. J. H. Huang and S. Y. Zhu, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.74.032329 74, 032329 (2006).
9. P. G. Kwiat, K. Mattle, H. Weinfurter, A. Zeilinger, A. V. Sergienko, and Y. Shih, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.75.4337 75, 4337 (1995)
10. D. Bouwmeester, J. W. Pan, M. Daniell, H. Weinfurter, and A. Zeilinger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.1345 82, 1345 (1999)
11. J. W. Pan, M. Daniell, S. Gasparoni, G. Weihs, and A. Zeilinger, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.4435 86, 4435 (2001)
12. Z. Zhao, Nature (London) NATUAS 0028-0836 10.1038/nature02643 430, 54 (2004).
13. E. Hagley, X. Maitre, G. Nogues, C. Wunderlich, M. Brune, J. M. Raimond, and S. Haroche, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.79.1 79, 1 (1997)
14. S. B. Zheng and G. C. Guo, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85.2392 85, 2392 (2000)
15. X. B. Zou, K. Pahlke, and W. Mathis, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.68.024302 68, 024302 (2003)
16. T. Legero, T. Wilk, M. Hennrich, G. Rempe, and A. Kuhn, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.070503 93, 070503 (2004)
17. C. P. Yang and S. Han, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70. 062323 70, 062323 (2004).
18. T. Yu and J. H. Eberly, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.165322 68, 165322 (2003).
19. T. Yu and J. H. Eberly, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.140404 93, 140404 (2004).
20. T. Yu and J. H. Eberly, Opt. Commun. OPCOB8 0030-4018 10.1016/j.optcom.2006.01.061 264, 393 (2006).
21. J. H. Eberly and T. Yu, Science SCIEAS 0036-8075 10.1126/science.1142654 316, 555 (2007).
22. 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).
23. M. A. Nielson and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, England, 2000).
24. J. Preskill, www.theory.caltech.edu/people/preskill/ph229
25. K. Kraus, States, Effect, and Operations: Fundamental Notions in Quantum Theory (Springer-Verlag, Berlin, 1983).
26. C. H. Bennett, D. P. DiVincenzo, J. A. Smolin, and W. K. Wootters, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.54.3824 54, 3824 (1996)
27. W. K. Wootters, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80. 2245 80, 2245 (1998).
28. C. H. Bennett, G. Brassard, S. Popescu, B. Schumacher, J. A. Smolin, and W. K. Wootters, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.722 76, 722 (1996).
29. V. Vedral, M. B. Plenio, M. A. Rippin, and P. L. Knight, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.78.2275 78, 2275 (1997)
30. V. Vedral and M. B. Plenio, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.57.1619 57, 1619 (1998).
31. G. Vidal and R. F. Werner, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.65.032314 65, 032314 (2002).
32. A. Peres, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.1413 77, 1413 (1996).
33. M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Lett. A PYLAAG 0375-9601 10.1016/S0375-9601(96)00706-2 223, 1 (1996).
34. R. A. Horn and C. R. Johnson, Matrix Analysis (Cambridge University Press, Cambridge, 1985), Chap..
35. M. Ikram, F. L. Li, and M. S. Zubairy, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.75.062336 75, 062336 (2007).