Ground states of unfrustrated spin Hamiltonians satisfy an area law

New Journal of Physics

Volumn 12, Issue , 2010, Pages

  De Beaudrap, Niel ^a   Osborne, Tobias J ^b   Eisert, Jens ^a,b  

^a UNIVERSITY OF POTSDAM   (Germany)

^b Institute for Advanced Study Berlin   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

LOW-DIMENSIONAL SUBSPACE; NEAREST-NEIGHBOR INTERACTIONS; PERCOLATION THEORY; QUANTUM SPIN; SPIN HAMILTONIAN; SPIN MODELS;

GROUND STATE; QUANTUM ENTANGLEMENT; SOLVENTS; TENSORS;

HAMILTONIANS;

EID: 77958546414     PISSN: 13672630     EISSN: None     Source Type: Journal    
DOI: 10.1088/1367-2630/12/9/095007     Document Type: Article

References (36)

1. Eisert J, Cramer M and Plenio M B 2010 Rev. Mod. Phys. 82 277
2. Schollwoeck U 2005 Rev. Mod. Phys. 77 259
3. Verstraete F, Cirac J I and Murg V 2008 Adv. Phys. 57 143
4. Holzhey C, Larsen F and Wilczek F 1994 Nucl. Phys. B 424 443
5. Bombelli L, Koul R K, Lee J and Sorkin R 1986 Phys. Rev. D 34 373
6. Srednicki M 1993 Phys. Rev. Lett. 71 666
7. Audenaert K M R, Eisert J, Plenio M B and Werner R F 2002 Phys. Rev. A 66 042327
8. Vidal G, Latorre J I, Rico E and Kitaev A 2003 Phys. Rev. Lett. 90 227902
9. Jin B-Q and Korepin V 2004 J. Stat. Phys. 116 79
10. Plenio M B, Eisert J, Dreissig J and Cramer M 2005 Phys. Rev. Lett. 94 060503
11. Cramer M and Eisert J 2006 New J. Phys. 8 71
12. Calabrese P and Cardy J 2004 J. Stat. Mech. P06002
13. Wolf M M 2006 Phys. Rev. Lett. 96 010404
14. Cramer M, Eisert J and Plenio M B 2007 Phys. Rev. Lett. 98 220603
15. Gioev D and Klich I 2006 Phys. Rev. Lett. 96 100503
16. Hastings M B 2007 J. Stat. Mech. P08024
17. Masanes Ll 2009 Phys. Rev. A 80 052104
18. Watrous J 2008 arXiv:0804.3401
19. Aharonov D, Gottesman D, Irani S and Kempe J 2009 Commun. Math. Phys. 287 41
20. Movassagh R, Farhi E, Goldstone J, Nagaj D, Osborne T J and Shor P W 2010 arXiv:1001.1006
21. Bravyi S 2006 arXiv:quant-ph/0602108
22. de Beaudrap N, Ohliger M, Osborne T J and Eisert J 2010 Phys. Rev. Lett. 105 060504
23. Silvi P, Giovannetti V, Montangero S, Rizzi M, Cirac J I and Fazio R 2009 arXiv:0912.0466
24. Aspvall B, Plass M F and Tarjan R E 1979 Inf. Proc. Lett. 8 121
25. Karp R M 1972 Complexity of Computer Computations ed R E Miller and J W Thatcher The IBM Symposia Series (New York: Plenum) pp 85-103
26. Ambainis A, Kempe J and Sattath O 2009 arXiv:0911.1696
27. Laumann C R, Läuchli A M, Moessner R, Scardicchio A and Sondhi S L 2009 arXiv:0910.2058
28. Bravyi S, Moore C and Russell A 2009 arXiv:0907.1297
29. Klümper A, Schadschneider A and Zittartz J 1992 Z. Phys. B 87 281
30. Vidal G 2007 Phys. Rev. Lett. 99 220405
31. Rossignoli R, Canosa N and Matera J M 2009 Phys. Rev. A 80 062325
32. Sanpera A, Tarrach R and Vidal G 1997 arXiv:quant-ph/9707041
33. Eisert J and Briegel H J 2001 Phys. Rev. A 64 022306
34. Grimmett G 1999 Percolation (New York: Springer)
35. Kieling K and Eisert J 2008 Percolation in quantum computation and communication Quantum Percolation and Breakdown (Lecture Notes in Physics) (Heidelberg: Springer) arXiv:0712.1836
36. Shastry B S and Sutherland B 1981 Physica B 108 1069