Ground state entanglement and geometric entropy in the Kitaev model

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 337, Issue 1-2, 2005, Pages 22-28

  Hamma, Alioscia ^a,b   Ionicioiu, Radu ^a   Zanardi, Paolo ^a  

^a ISI FOUNDATION   (Italy)

^b UNIVERSITY OF NAPLES FEDERICO II   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ENTROPY; GROUND STATE; TOPOLOGY;

ENTANGLEMENT PROPERTIES; GEOMETRIC ENTROPY; GROUND-STATE ENTANGLEMENT; KITAEV MODEL; REDUCED-DENSITY MATRIX; TOPOLOGICAL ORDER; TWO-DIMENSIONAL SPIN SYSTEMS; VON NEUMANN ENTROPY;

QUANTUM ENTANGLEMENT;

ARTICLE; CALCULATION; DENSITY; ENTROPY; GEOMETRY; MOLECULAR INTERACTION;

EID: 14644419012     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2005.01.060     Document Type: Article

References (38)

1. For reviews, see D.P. DiVincenzo, and C.H. Bennett Nature 404 2000 247
2. A. Steane Rep. Prog. Phys. 61 1998 117
3. F. Verstraete, M. Popp, and J.I. Cirac Phys. Rev. Lett. 92 2004 27901 quant-ph/0307009
4. F. Verstraete, M.A. Martin-Delgado, and J.I. Cirac Phys. Rev. Lett. 92 2004 087201 quant-ph/0311087
5. T.J. Osborne, and M.A. Nielsen Phys. Rev. A 66 2002 32110 quant-ph/0202162
6. A. Osterloh, L. Amico, G. Falci, and R. Fazio Nature 416 2002 608 quant-ph/0202029
7. J. Vidal, G. Palacios, and R. Mosseri Phys. Rev. A 69 2004 22107 quant-ph/0305573
8. G. Vidal, J.I. Latorre, E. Rico, and A. Kitaev Phys. Rev. Lett. 90 2003 227902 quant-ph/0211074
9. J.I. Latorre, E. Rico, and G. Vidal Quantum Inform. Comput. 4 2004 48 quant-ph/0304098
10. P. Calabrese, and J. Cardy hep-th/0405152
11. G. Vidal Phys. Rev. Lett. 91 2003 14792
12. C. Callan, and F. Wilczek Phys. Lett. B 333 1994 55
13. G. 't Hooft Nucl. Phys. B 256 1985
14. G. 't Hooft gr-qc/9310026
15. L. Susskind J. Math. Phys. 36 1995 6377
16. R. Bousso Rev. Mod. Phys. 74 2002 825
17. A.Y. Kitaev Ann. Phys. (N.Y.) 303 2003 2 quant-ph/9707021
18. M.H. Freedman, A. Kitaev, and Z. Wang Commun. Math. Phys. 227 2002 587 quant-ph/0001071
19. M. Freedman, M. Larsen, and Z. Wang Commun. Math. Phys. 227 2002 605
20. M.H. Freedman Found. Comput. Math. 1 2001 183
21. M.H. Freedman, A. Kitaev, M.J. Larsen, and Z. Wang Bull. Amer. Math. Soc. 40 2003 31
22. X.G. Wen, and Q. Niu Phys. Rev. B 41 1990 9377
23. X.G. Wen Phys. Rev. Lett. 90 2003 016803
24. X.G. Wen, and A. Zee Phys. Rev. B 58 1998 23
25. X.G. Wen Adv. Phys. 44 1995 405 cond-mat/9506066
26. A. Hamma, R. Ionicioiu, and P. Zanardi quant-ph/0409073
27. W.K. Wootters Phys. Rev. Lett. 80 1998 2245
28. L.D. Landau, and E.M. Lifschitz Statistical Physics - Course of Theoretical Physics, vol. 5 1958 Pergamon London
29. A. Wehrl Rev. Mod. Phys. 50 1978 221
30. A. Peres Quantum Theory: Concepts and Methods 1993 Kluwer Dordrecht
31. D.R. Terno hep-th/0403142
32. M. Srednicki Phys. Rev. Lett. 71 1993 666
33. J.D. Bekenstein Phys. Rev. D 7 1973 2333
34. S.W. Hawking Commun. Math. Phys. 43 1975 199
35. M.B. Plenio, J. Eisert, J. Dreißig, and M. Cramer quant-ph/0405142
36. C. Holzney, F. Larsen, and F. Wilczek Nucl. Phys. B 424 1994 443
37. T.M. Fiola, J. Preskill, A. Strominger, and S.P. Trivedi Phys. Rev. D 50 1994 3987
38. D. Fattal, T.S. Cubitt, Y. Yamamoto, S. Bravyi, and I.L. Chuang quant-ph/0406168