Statistical mechanical models and topological color codes

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 77, Issue 4, 2008, Pages

  Bombin, H ^a   Martin Delgado, M A ^a  

^a UNIVERSIDAD COMPLUTENSE DE MADRID   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

CODES (SYMBOLS); CRYSTAL LATTICES; ISING MODEL; QUANTUM COMPUTERS; SPIN DYNAMICS; STATISTICAL MECHANICS;

COMPUTATIONAL CAPABILITIES; PARTITION FUNCTIONS; THREE-BODY CLASSICAL ISING MODELS; UNION JACK LATTICES;

QUANTUM THEORY;

EID: 42549102237     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.77.042322     Document Type: Article

References (25)

1. M. Van den Nest, W. Dür, and H. J. Briegel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.117207 98, 117207 (2007).
2. S. Bravyi and R. Raussendorf, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.022304 76, 022304 (2007).
3. A. Yu. Kitaev, Ann. Phys. ANPYA2 0003-3804 10.1016/S0003-4916(02)00018-0 303, 2 (2003).
4. E. Dennis, A. Kitaev, A. Landahl, and J. Preskill, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1499754 43, 4452 (2002).
5. H. Bombin and M. A. Martin-Delgado, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.2731356 48, 052105 (2007).
6. R. Raussendorf and H.-J. Briegel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.5188 86, 5188 (2001).
7. H. J. Briegel and R. Raussendorf, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.910 86, 910 (2001).
8. M. Van den Nest, W. Dür, and H. J. Briegel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.117207 98, 117207 (2007).
9. H. Bombin and M. A. Martin-Delgado, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.180501 97, 180501 (2006).
10. H. Bombin and M. A. Martin-Delgado, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98.160502 98, 160502 (2007).
11. H. Bombin and M. A. Martin-Delgado, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.75.075103 75, 075103 (2007).
12. X.-G. Wen, Quantum Field Theory of Many-body Systems (Oxford University Press, Oxford, 2004).
13. M. A. Levin and X.-G. Wen, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.71.045110 71, 045110 (2005).
14. H. Bombin and M. A. Martin-Delgado, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.012305 76, 012305 (2007).
15. D. Gottesman, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.54.1862 54, 1862 (1996).
16. G. F. Newell and E. W. Montroll, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.25.353 25, 353 (1953).
17. D. W. Wood and H. P. Griffiths, J. Phys. C JPSOAW 0022-3719 10.1088/0022-3719/5/18/001 5, L253 (1972).
18. D. Merlini and C. Gruber, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1665913 13, 1814 (1972).
19. H. A. Krammers and G. H. Wannier, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.60.252 60, 252 (1941).
20. R. J. Baxter and F. Y. Wu, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.31.1294 31, 1294 (1973).
21. R. J. Baxter and F. Y. Wu, Aust. J. Phys. 27, 357 (1974). 0004-9506
22. A. Hintermann and D. Merlini, Phys. Lett. A 41, 208 (1972). 0375-9601
23. F. Barahona, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/15/10/028 15, 3241 (1982).
24. P. Kasteleyn, Physica 27, 1209 (1961). 0031-8914
25. E. Rico and H. J. Briegel, e-print arXiv:0710.2349.