Comb entanglement in quantum spin chains

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 74, Issue 1, 2006, Pages

  Keating, J P ^a   Mezzadri, F ^a   Novaes, M ^a  

^a UNIVERSITY OF BRISTOL   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ENTROPY; MAGNETIC FIELD EFFECTS; MAGNETIC FIELDS; MATHEMATICAL MODELS;

BIPARTITE ENTANGLEMENT; COMB ENTANGLEMENT; NEUMANN ENTROPY; QUANTUM SPINS;

QUANTUM THEORY;

EID: 33746048030     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.74.012311     Document Type: Article

References (43)

1. S. Sachdev, Quantum Phase Transitions (Cambridge University Press, Cambridge, 2000).
2. T. J. Osborne and M. A. Nielsen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.032110 66, 032110 (2002);
3. T. J. Osborne and M. A. Nielsen, Quantum Inf. Process. QIPUAT 1570-0755 10.1023/A:1019601218492 1, 45 (2002).
4. A. Osterloh, Nature (London) NATUAS 0028-0836 10.1038/416608a 416, 608 (2002).
5. G. Vidal, J. I. Latorre, E. Rico, and A. Kitaev, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.90.227902 90, 227902 (2003).
6. J. I. Latorre, E. Rico, and G. Vidal, Quantum Inf. Comput. QICUAW 1533-7146 10.1103/PhysRevLett.90.227902 4, 48 (2004).
7. V. Popkov and M. Salerno, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.012301 71, 012301 (2005).
8. M. F. Yang, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.030302 71, 030302 (R) (2005);
9. J. Eisert and M. Cramer, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.042112 72, 042112 (2005);
10. S. O. Skrovseth and K. Olaussen, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.022318 72, 022318 (2005).
11. A. Miyake, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.012108 67, 012108 (2003);
12. T. C. Wei, D. Das, S. Mukhopadyay, S. Vishveshwara, and P. M. Goldbart, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.060305 71, 060305 (R) (2005);
13. A. Osterloh and J. Siewert, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.012337 72, 012337 (2005);
14. D. Bruss, N. Datta, A. Ekert, L. C. Kwek, and C. Macchiavello, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.72.014301 72, 014301 (2005);
15. T. R. de Oliveira, G. Rigolin, and M. C. de Oliveira, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.010305 73, 010305 (2006);
16. F. Mintert, M. Kus, and A. Buchleitner, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.260502 95, 260502 (2005);
17. O. Gühne and G. Toth, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.052319 73, 052319 (2006).
18. C. H. Bennett, H. J. Bernstein, S. Popescu, and B. Schumacher, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.53.2046 53, 2046 (1996).
19. W. K. Wootters, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80. 2245 80, 2245 (1998).
20. B.-Q. Jin and V. E. Korepin, J. Stat. Phys. JSTPBS 0022-4715 10.1023/B:JOSS.0000037230.37166.42 116, 79 (2004).
21. M. E. Fisher and R. E. Hartwig, Adv. Chem. Phys. ADCPAA 0065-2385 15, 333 (1968);
22. E. L. Basor, Trans. Am. Math. Soc. TAMTAM 0002-9947 239, 33 (1978);
23. E. L. Basor and K. E. Morrison, Linear Algebr. Appl. LAAPAW 0024-3795 10.1016/0024-3795(94)90187-2 202, 129 (1994);
24. T. Ehrhardt and B. Silbermann, J. Funct. Anal. JFUAAW 0022-1236 148, 229 (1997).
25. V. E. Korepin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92. 096402 92, 096402 (2004);
26. P. Calabrese and J. Cardy, J. Stat. Mech.: Theory Exp. ZZZZZZ 1742-5468 2004, P06002.
27. J. P. Keating and F. Mezzadri, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/s00220-004-1188-2 252, 543 (2004);
28. J. P. Keating and F. Mezzadri, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.050501 94, 050501 (2005).
29. M. M. Wolf, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96. 010404 96, 010404 (2006);
30. D. Gioev and I. Klich, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.100503 96, 100503 (2006).
31. M. Cramer and J. Eisert, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/8/5/071 8, 71 (2006).
32. M. B. Plenio, J. Eisert, J. Dreissig, and M. Cramer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.060503 94, 060503 (2005);
33. M. Cramer, J. Eisert, M. B. Plenio, and J. Dreissig, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.73.012309 73, 012309 (2006).
34. K. Audenaert, J. Eisert, M. B. Plenio, and R. F. Werner, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.66.042327 66, 042327 (2002);
35. Y. Chen, Z. D. Wang, and F. C. Zhang, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.73.224414 73, 224414 (2006)
36. E. Baruch, M. McCoy, and M. Dresden, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.2.1075 2, 1075 (1970);
37. E. Baruch and M. McCoy, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.3.786 3, 786 (1971);
38. E. Baruch and M. McCoy, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.3.2137 3, 2137 (1971).
39. A. R. Its, B.-Q. Jin, and V. E. Korepin, J. Phys. A JPHAC5 0305-4470 38, 2975 (2005).
40. M. Shiroishi, M. Takahashi, and Y. Nishiyama, J. Phys. Soc. Jpn. JUPSAU 0031-9015 10.1143/JPSJ.70.3535 70, 3535 (2001);
41. A. G. Abanov and F. Franchini, Phys. Lett. A PYLAAG 0375-9601 316, 342 (2003);
42. F. Franchini and A. G. Abanov, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/38/23/002 38, 5069 (2005).
43. J. P. Keating, F. Mezzadri, and M. Novaes, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/39/24/L01 39, L389 (2006).