Energy as an entanglement witness for quantum many-body systems

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 70, Issue 6, 2004, Pages

  Dowling, Mark R ^a   Doherty, Andrew C ^a   Bartlett, Stephen D ^a  

^a UNIVERSITY OF QUEENSLAND   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

ANTIFERROMAGNETISM; GROUND STATE; HAMILTONIANS; LATTICE CONSTANTS; PHASE TRANSITIONS; THERMODYNAMICS;

ENTANGLEMENT GAP; QUANTUM INFORMATION SCIENCE; QUANTUM MANY-BODY SYSTEMS; THERMAL STATE;

QUANTUM THEORY;

EID: 42749100585     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.70.062113     Document Type: Article

References (63)

1. A. Einstein, B. Podolsky, and N. Rosen, Phys. Rev. 47, 777 (1935).
2. J. S. Bell, Physics (Long Island City, N.Y.) 1, 195 (1964).
3. M. N. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, England, 2000).
4. T. J. Osborne and M. A. Nielsen, Phys. Rev. A 66, 032110 (2002).
5. A. Osterloh, L. Amico, G. Falci, and R. Fazio, Nature (London) 416, 608 (2002).
6. G. Vidal, J. I. Latorre, E. Rico, and A. Kitaev, Phys. Rev. Lett. 90, 227902 (2003).
7. J. I. Latorre, E. Rico, and G. Vidal, Quantum Inf. Comput. 4, 048 (2004).
8. T.-C. Wei, D. Das, S. Mukhopadyay, S. Vishveshwara, and P. M. Goldbart, e-print quant-ph/0405162.
9. R. Somma, G. Ortiz, H. Barnum, E. Knill, and L. Viola, Phys. Rev. A 70, 042311 (2004).
10. L.-A. Wu, M. S. Sarandy, and D. A. Lidar, Phys. Rev. Lett. 93, 250404 (2004).
11. S. Sachdev, Quantum Phase Transitions (Cambridge Univer sity Press, Cambridge, England, 1999).
12. F. Verstraete, M. Popp, and J. I. Cirac, Phys. Rev. Lett. 92, 027901 (2004).
13. F. Verstraete, M. A. Martin-Delgado, and J. I. Cirac, Phys. Rev. Lett. 92, 087201 (2004).
14. H. L. Haselgrove, M. A. Nielsen, and T. J. Osborne, Phys. Rev. Lett. 91, 210401 (2003).
15. H. L. Haselgrove, M. A. Nielsen, and T. J. Osborne, Phys. Rev. A 69, 032303 (2004).
16. G. Vidal, Phys. Rev. Lett. 91, 147902 (2003).
17. G. Vidal, Phys. Rev. Lett. 93, 040502 (2004).
18. A. J. Daley, C. Kollath, U. Swollwö, and G. Vidai, J. Stat. Mech.: Theory Exp. P04005 (2004).
19. S. R. Clark and D. Jaksch, Phys. Rev. A 70, 043612 (2004).
20. M. Zwolak and G. Vidai, Phys. Rev. Lett. 93, 207205 (2004).
21. F. Verstraete, J. I. Garcia-Ripoll, and J. I. Cirac, Phys. Rev. Lett. 93, 207204 (2004).
22. K. M. O'Connor and W. K. Wootters, Phys. Rev. A 63, 052302 (2001).
23. T. A. Costi and R. H. McKenzie, Phys. Rev. A 68, 034301 (2003).
24. A. P. Hines, R. H. McKenzie, and G. J. Milburn, Phys. Rev. A 67, 013609 (2003).
25. T. E. Tessier, I. H. Deutsch, A. Delgado, and I. Fuentes-Guridi, Phys. Rev. A 68, 062316 (2003).
26. A. P. Hines, G. J. Milbum, and R. H. McKenzie, e-print quant-ph/0308165.
27. C. M. Dawson and M. A. Nielsen, Phys. Rev. A 69, 052316 (2004).
28. M. A. Nielsen, Ph.D. thesis, University of New Mexico, 1998, e-print quant-ph/0011036.
29. M. C. Arnesen, S. Bose, and V. Vedral, Phys. Rev. Lett. 87, 017901 (2001).
30. D. Gunlycke, S. Bose, V. M. Kendon, and V. Vedral, Phys. Rev. A 64, 042302 (2001).
31. X. Wang, Phys. Rev. A 64, 012313 (2001).
32. S. Scheel, J. Eisert, P. L. Knight, and M. B. Plenio, J. Mod. Opt. 50, 881 (2003).
33. V. Vedral, Nature (London) 425, 28 (2003).
34. V. Vedral, New J. Phys. 6, 102 (2004).
35. A. N. Jordan and M. Büttiker, Phys. Rev. Lett. 92, 247901 (2004).
36. S. Ghosh, T. F. Rosenbaum, G. Aeppli, and S. Coppersmith, Nature (London) 425, 48 (2003).
37. B. M. Terhal, Theor. Comput. Sci. 287, 313 (2002).
38. M. Lewenstein, D. Bruss, J, I. Cirac, B. Kraus, M. Kus, J. Samsonowicz, A. Sanpera, and R. Tarrach, J. Mod. Opt. 47, 2841 (2000).
39. D. Bruss, J. I. Cirac, P. Horodecki, F. Hulpke, B. Kraus, M. Lewenstein, and A. Sanpera, J. Mod. Opt. 49, 1399 (2002).
40. C. Brukner and V. Vedral, e-print quant-ph/0406040.
41. G. Tóth, e-print quant-ph/0406061.
42. T.-C. Wei and P. M. Goldbart, Phys. Rev. A 68, 042307 (2003).
43. A. Harrow (private communication).
44. A. C. Doherty, P. A. Parrilo, and F. M. Spedalieri, Phys. Rev. A 69, 022308 (2004).
45. G. A. Raggio and R. F. Werner, Helv. Phys. Acta 62, 980 (1989).
46. M. Pannes, J. T. Lewis, and A. Verbeure, Lett. Math. Phys. 15, 255 (1988).
47. P. R. Weiss, Phys. Rev. 74, 1493 (1948).
48. P. W. Anderson, Phys. Rev. 83, 1260 (1951).
49. C. Lhuillier and G. Misguich, e-print cond-mat/0109146.
50. P. W. Anderson, Phys. Rev. 86, 694 (1952).
51. J.-B. Fouet, M. Mambrini, P. Sindzingre, and C. Lhuillier, Phys. Rev. B 67, 054411 (2003).
52. A. Georges, G. Kotliar, W. Krauth, and M. J. Rozenberg, Rev. Mod. Phys. 68, 13 (1996).
53. R. Moessner, Can. J. Phys. 79, 1283 (2001).
54. T. Eggeling and R. F. Werner, Phys. Rev. A 63, 042111 (2001).
55. R. F. Werner, Phys. Rev. A 40, 4277 (1989).
56. L. Vandenberghe and S. Boyd, SIAM Rev. 38, 49 (1996).
57. S. Boyd and L. Vandenberghe, Convex Optimization (Cambridge University Press, Cambridge, England, 2004).
58. A. C. Doherty, P. A. Parrilo, and F. M. Spedalieri, Phys. Rev. Lett. 88, 187904 (2002).
59. A. C. Doherty, P. A. Parrilo, and F. M. Spedalieri, e-print quant-ph/0407143.
60. M. Horodecki, P. Horodecki, and R. Horodecki, in Quantum Information: An Introduction to Basic Theoretical Concepts and Experiments, edited by G. Alber et al, Springer Tracts in Modern Physics, 173 (Springer-Verlag, Berlin, 2001), pp. 151-195.
61. C. H. Bennett, D. P. DiVincenzo, T. Mor, P. W. Shor, J. A. Smolin, and B. Terhal, Phys. Rev. Lett. 82, 5385 (1999).
62. K. R. Parthasarathy, e-print quant-ph/0405077.
63. C. H. Bennett, P. Hayden, D. W. Leung, P. W. Shor, and A. Winter, e-print quant-ph/0307100.