Bures distance as a measure of entanglement for two-mode squeezed thermal states

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 68, Issue 6, 2003, Pages

  Marian, Paulina ^a,b   Marian, Tudor A ^a,b   Scutaru, Horia ^c  

^a HARVARD SMITHSONIAN CENTER FOR ASTROPHYSICS   (United States)

^b UNIVERSITY OF BUCHAREST   (Romania)

^c ACADEMY OF ROMANIAN SCIENTISTS   (Romania)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ELECTROMAGNETIC FIELD EFFECTS; ENTROPY; INVARIANCE; SET THEORY; VACUUM APPLICATIONS;

ENTANGLEMENT; GAUSSIAN STATES; PERES-SIMON CRITERION; SUBSET;

QUANTUM THEORY;

EID: 1142268066     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (51)

1. S. L. Braunstein and H. J. Kimble, Phys. Rev. Lett. 80, 869 (1998).
2. A. Furusawa et al., Science 282, 706 (1998).
3. A. Peres, Phys. Rev. Lett. 77, 1413 (1996).
4. Lu-Ming Duan et al., Phys. Rev. Lett. 84, 2722 (2000).
5. R. Simon, Phys. Rev. Lett. 84, 2726 (2000).
6. Paulina Marian, T. A. Marian, and H. Scutaru, J. Phys. A 34, 6969 (2001).
7. R. F. Werner and M. M. Wolf, Phys. Rev. Lett. 86, 3658 (2001).
8. G. Giedke, B. Kraus, M. Lewenstein, and J. I. Cirac, Phys. Rev. Lett. 87, 167904 (2001).
9. W. Dür, J. I. Cirac, M. Lewenstein, and D. Bruss, Phys. Rev. A 61, 062313 (2000).
10. G. Giedke, Lu-Ming Duan, J. I. Cirac, and P. Zoller, quant-ph/0007061.
11. G. Giedke, Lu-Ming Duan, J. I. Cirac, and P. Zoller, Quantum Inf. Comput. 1, 79 (2001).
12. G. Vidal and R. F. Werner, Phys. Rev. A 65, 032314 (2002).
13. Xiao-Yu Chen and Peiliang Qiu, Phys. Lett. A 314, 191 (2003).
14. A. Kuzmich and E. S. Polzik, Phys. Rev. Lett. 85, 5639 (2000)
15. Lu-Ming Duan et al., ibid. 85, 5643 (2000).
16. S. Scheel and D.-G. Welsch, Phys. Rev. A 64, 063811 (2001).
17. G. Giedke, M. M. Wolf, O. Krüger, R. F. Werner, and J. I. Cirac, Phys. Rev. Lett. 91, 107901 (2003).
18. V. Vedral, M. B. Plenio, M. A. Rippin, and P. L. Knight, Phys. Rev. Lett. 78, 2275 (1997)
19. V. Vedral and M. B. Plenio, Phys. Rev. A 57, 1619 (1998)
20. V. Vedral, Rev. Mod. Phys. 74, 197 (2002).
21. A. Wehrl, Rev. Mod. Phys. 50, 221 (1978).
22. D. Bures, Trans. Am. Math. Soc. 135, 199 (1969).
23. C. A. Fuchs, Ph.D. thesis, University of New Mexico, 1995, quant-ph/9601020.
24. A. Uhlmann, Rep. Math. Phys. 9, 273 (1976)
25. A. Uhlmann, ibid. 24, 229 (1986).
26. R. Jozsa, J. Mod. Opt. 41, 2315 (1994).
27. H. Barnum et al., Phys. Rev. Lett. 76, 2818 (1996)
28. H. Barnum et al., Phys. Rev. A 54, 4707 (1996).
29. S. L. Braunstein and C. M. Caves, Phys. Rev. Lett. 72, 3439 (1994).
30. M. M. Wolf, G. Giedke, O. Krüger, R. F. Werner, and J. I. Cirac, quant-ph/0306177.
31. Paulina Marian, Phys. Rev. A 45, 2044 (1992)
32. Paulina Marian and T. A. Marian, ibid. 47, 4474 (1993)
33. Paulina Marian and T. A. Marian, ibid. 47, 4487 (1993).
34. Bonny L. Schumaker, Phys. Rep. 135, 317 (1986).
35. J. Twamley, J. Phys. A 29, 3723 (1996)
36. H. Scutaru, ibid. 31, 3659 (1998)
37. Gh.-S. Paraoanu and H. Scutaru, Phys. Rev. A 58, 869 (1998).
38. Gh.-S Paraoanu and H. Scutaru, Phys. Rev. A 61, 022306 (2000).
39. Paulina Marian and T.A. Marian (unpublished).
40. Paulina Marian and T.A. Marian (unpublished).
41. R. J. Glauber, Phys. Rev. 131, 2766 (1963)
42. A. Vourdas, Phys. Rev. A 34, 3466 (1986)
43. M. J. W. Hall, ibid. 50, 3295 (1994)
44. Z. H. Musslimani et al., ibid. 51, 4967 (1995).
45. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, U.K., 2000).
46. A. Peres, Phys. Rev. A 61, 022116 (2000)
47. A. Peres, ibid. 61, 022117 (2000).
48. Paulina Marian, T.A. Marian, and H. Scutaru, Phys. Rev. Lett. 88, 153601 (2002).
49. We adopt the notation introduced by Wehrl in Ref. [18] with the slight modification of writing S(σ/ρ) instead of S(σ/ρ).
50. C. H. Bennett et al., Phys. Rev. A 53, 2046 (1996).
51. Li-Zhen Jiang, e-print quant-ph/0309156.