On the stability of topological phases on a lattice

Annals of Physics

Volumn 325, Issue 10, 2010, Pages 2120-2131

  Klich, Israel ^a  

^a University of Virginia   (United States)

Author keywords

Cluster expansions; Topological quantum computing; Toric code

Indexed keywords

EID: 77956342425     PISSN: 00034916     EISSN: 1096035X     Source Type: Journal    
DOI: 10.1016/j.aop.2010.05.002     Document Type: Article

References (36)

1. Kitaev A. Annals of Physics (NY) 2003, 303:2-30.
2. Nayak C., Simon S., Stern A., Freedman M., Das Sarma S. Reviews of Modern Physics 2008, 80(3):1083-1159.
3. Hastings M., Wen X. Physical Review B 2005, 72(4):45141.
4. Fendley P. Annals of Physics 2008, 323(12):3113-3136.
5. E. Farhi, J. Goldstone, S. Gutmann, M. Sipser, preprint, arxiv:/quant-ph/0001106.
6. Castelnovo C., Chamon C. Physical Review B 2007, 76(18):184442.
7. Castelnovo C., Chamon C. Physical Review B 2007, 76(17):174416.
8. Nussinov Z., Ortiz G. Physical Review B 2008, 77(6):64302.
9. Iblisdir S., Perez-Garcia D., Aguado M., Pachos J. Physical Review B 2009, 79(13):134303.
10. Hamma A., Castelnovo C., Chamon C. Physical Review B 2009, 79(24):245122.
11. Lieb E., Schultz T., Mattis D. Annals of Physics 1961, 16(3):407-466.
12. Hastings M. Physical Review B 2004, 69(10):104431.
13. Moore G., Seiberg N. Communications in Mathematical Physics 1989, 123(2):177-254.
14. Witten E. Communications in Mathematical Physics 1989, 121(3):351-399.
15. Fredenhagen K., Rehren K., Schroer B. Communications in Mathematical Physics 1989, 125(2):201-226.
16. Fröhlich J., Gabbiani F. Reviews in Mathematical Physics 1990, 2:251-353.
17. Turaev V. Quantum Invariants of Knots and 3-Manifolds 1994, Walter de Gruyter.
18. Bakalov B., Kirillov A. Lectures on Tensor Categories and Modular Functors 2001, American Mathematical Society.
19. Kitaev A. Annals of Physics 2006, 321(1):2-111.
20. P.H. Bonderson, Ph.D. Thesis, Caltech.
21. Levin M., Wen X. Physical Review B 2005, 71(4):45110.
22. Feiguin A., Trebst S., Ludwig A., Troyer M., Kitaev A., Wang Z., Freedman M. Physical Review Letters 2007, 98(16):160409.
23. Gils C., Trebst S., Kitaev A., Ludwig A.W.W., Troyer M., Wang Z. Nature Physics 2009, 5:834-839.
24. Datta N., Fernández R., Fröhlich J. Journal of Statistical Physics 1996, 84(3):455-534.
25. Trebst S., Werner P., Troyer M., Shtengel K., Nayak C. Physical Review Letters 2007, 98(7):70602.
26. Pirogov S., Sinai Y. Theoretical and Mathematical Physics 1976, 26(1):39-49.
27. Zahradni{dotless}́k M. Communications in Mathematical Physics 1984, 93(4):559-581.
28. Borgs C., Imbrie J. Communications in Mathematical Physics 1989, 123(2):305-328.
29. Borgs C., Koteckỳ R., Ueltschi D. Communications in Mathematical Physics 1996, 181(2):409-446.
30. Yarotsky D. Communications in Mathematical Physics 2006, 261(3):799-819.
31. Gallavotti G., Martin-Lof A., Miracle-Sole S. Lecture Notes in Physics 1973, 20:159-204.
32. Simon B. The Statistical Mechanics of Lattice Gases 1993, Princeton University Press.
33. Bergholtz E., Karlhede A. Physical Review Letters 2005, 94(2):26802.
34. Bergholtz E., Kailasvuori J., Wikberg E., Hansson T., Karlhede A. Physical Review B 2006, 74(8):81308.
35. Seidel A., Lee D. Physical Review Letters 2006, 97(5):56804.
36. Ardonne E., Walls Domain, Rules Fusion Physical Review Letters 2009, 102(18):180401.