Entanglement in a valence-bond solid state

Physical Review Letters

Volumn 93, Issue 22, 2004, Pages

  Fan, Heng ^a   Korepin, Vladimir ^b   Roychowdhury, Vwani ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b STONY BROOK UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DENSITY MATRIX; ENTANGLEMENT; QUANTUM SYSTEMS; VALENCE-BOND;

ANTIFERROMAGNETIC MATERIALS; BOUNDARY CONDITIONS; CORRELATION METHODS; ENTROPY; GROUND STATE; HAMILTONIANS; MATHEMATICAL MODELS; MATRIX ALGEBRA; PHASE TRANSITIONS; QUANTUM THEORY;

SOLID STATE DEVICES;

EID: 37649027994     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.93.227203     Document Type: Article

References (36)

1. A. Osterloh, L. Amico, G. Falci, and R. Fazio, Nature (London) 416, 608 (2002).
2. T. J. Osborne and M. A. Nielsen, Phys. Rev. A 66, 032110 (2002).
3. V. Vedral, New J. Phys. 6, 10 (2004).
4. G. Vidai, J. I. Latorre, E. Rico, and A. Kitaev, Phys. Rev. Lett. 90, 227902 (2003).
5. J. I. Latorre, E. Rico, and G. Vidai, Quantum Inf. Comput. 4, 048 (2004).
6. B.-Q. Jin and V. E. Korepin, J. Stat Phys. 116, 79 (2004).
7. V. E. Korepin, Phys. Rev. Lett. 92, 096402 (2004).
8. M. C. Arnesen, S. Bose, and V. Vedral, Phys. Rev. Lett. 87, 017901 (2001).
9. F. Verstraete, M. A. Martín-Delgado, and J. I. Cirac, Phys. Rev. Lett. 92, 087201 (2004).
10. R. Orus and J. I. Latorre, Phys. Rev. A 69, 052308 (2004).
11. J. K. Pachos and M. B. Plenio, Phys. Rev. Lett. 93, 056402 (2004).
12. H. Fan and S. Lloyd, quant-ph/0405130.
13. V. Vedral, quant-ph/0405102.
14. C. H. Bennett and D. P. DiVincenzo, Nature (London) 404, 247 (2000).
15. S. Lloyd, Science 261, 1569 (1993); 263, 695 (1994).
16. S. Lloyd, Science 261, 1569 (1993); 263, 695 (1994).
17. S. Ghosh, T. F. Rosenbaum, G. Aeppli, and S. N. Coppersmith, Nature (London) 425, 48 (2003); V. Vedral, Nature (London) 425, 28 (2003).
18. S. Ghosh, T. F. Rosenbaum, G. Aeppli, and S. N. Coppersmith, Nature (London) 425, 48 (2003); V. Vedral, Nature (London) 425, 28 (2003).
19. A. Affleck, T. Kennedy, E. H. Lieb, and H. Tasaki, Commun. Math. Phys. 115, 477 (1988).
20. A. Affleck, T. Kennedy, E. H. Lieb, and H. Tasaki, Phys. Rev. Lett. 59, 799 (1987).
21. F. D. M. Haldane, Phys. Lett. A 93, 464 (1983); Phys. Rev. Lett. 50, 1153 (1983).
22. F. D. M. Haldane, Phys. Lett. A 93, 464 (1983); Phys. Rev. Lett. 50, 1153 (1983).
23. J. J. Garcia-Ripoll, M. A. Martín-Delgado, and J. I. Cirac, cond-mat/0404566.
24. F. Verstraete and J. I. Cirac, quant-ph/0311130.
25. R. B. Laughlin, Phys. Rev. Lett. 50, 1395 (1983).
26. D. P. Arovas, A. Auerbach, and F. D. M. Haldane, Phys. Rev. Lett. 60, 531 (1988).
27. S. R. White, Phys. Rev. Lett. 69, 2863 (1992).
28. F. Verstraete et al., cond-mat/0406426; M. Zwolak et al., cond-mat/0406440.
29. C. H. Bennett, G. Brassard, C. Crepeau, R. Jozsa, A. Peres, and W. Wootters, Phys. Rev. Lett. 70, 1895 (1993).
30. M. Fannes, B. Nachtergaele, and R. R. Werner, Commun. Math. Phys. 144, 443 (1992).
31. W. K. Wootters, Phys. Rev. Lett. 80, 2245 (1998).
32. H. Fan, K. Matsumoto, and H. Imai, J. Phys. A 36, 4151 (2003).
33. A. Peres, Phys. Rev. Lett. 77, 1413 (1996).
34. M. Horodecki, P. Horodecki, and R. Horodecki, Phys. Lett. A 223, 1 (1996).
35. A. N. Kirillov and V. E. Korepin, Sankt Petersburg Math. J. 1, 47 (1990).
36. W. M. Kaminsky, S. Lloyd, and T. Orlando, quant-ph/ 0403090.