Classical spin models and the quantum-stabilizer formalism

Physical Review Letters

Volumn 98, Issue 11, 2007, Pages

  Den Van Nest, M ^a   Dur W ^a,b   Briegel, H J ^a,b  

^a ERICH SCHMID INSTITUTE OF MATERIALS SCIENCE   (Austria)

^b UNIVERSITY OF INNSBRUCK   (Austria)

Author keywords

[No Author keywords available]

Indexed keywords

ATOMIC PHYSICS; COMPUTER SIMULATION; GRAPH THEORY; INFORMATION THEORY; MATHEMATICAL MODELS;

CLASSICAL SPIN MODELS; Q-STATE SPINS; QUANTUM-STABILIZER STATES; TEMPERATURE DUALITIES;

QUANTUM THEORY;

EID: 33947240733     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.98.117207     Document Type: Article

References (21)

1. F.Y. Wu, Rev. Mod. Phys. 54, 235 (1982). RMPHAT 0034-6861 10.1103/RevModPhys.54.235
2. F. Barahona, J. Phys. A 15, JPHAC5 0305-4470 3241 (1982). 10.1088/0305-4470/15/10/028
3. R.D. Somma, C.D. Batista, and G. Ortiz, quant-ph/0609216;
4. D.A. Lidar, New J. Phys. 6, 167 (2004); NJOPFM 1367-2630 10.1088/1367-2630/6/1/167
5. D.A. Lidar and O. Biham, Phys. Rev. E 56, 3661 (1997). PLEEE8 1063-651X 10.1103/PhysRevE.56.3661
6. M. Hein, in Quantum Computers, Algorithms and Chaos, International School of Physics Enrico Fermi, edited by, G. Casati, D. Shepelyansky, P. Zoller, and, G. Benenti, (IOS Press, Amsterdam, 2006), Vol.162;
7. see also M. Hein quant-ph/0602096.
8. D. Gottesman, Ph.D. thesis, Caltech, 1997.
9. E. Hostens, J. Dehaene, and B. De Moor, Phys. Rev. A 71, 042315 (2005). PLRAAN 1050-2947 10.1103/PhysRevA.71.042315
10. Y.Y. Shi, L.M. Duan, and G. Vidal, Phys. Rev. A 74, 022320 (2006); PLRAAN 1050-2947 10.1103/PhysRevA.74.022320
11. I. Markov and Y. Shi, quant-ph/0511069.
12. M. Van den Nest, W. Dür, G. Vidal, and H.-J. Briegel, Phys. Rev. A 75, PLRAAN 1050-2947 012337 (2007). 10.1103/PhysRevA.75.012337
13. N. Robertson and P.D. Seymour, J. Comb. Theory Ser. B 36, JCBTB8 0095-8956 49 (1984). 10.1016/0095-8956(84)90013-3
14. C. Godsil and G. Royle, Algebraic Graph Theory (Springer-Verlag, Berlin, 2001).
15. D. Schlingemann and R.F. Werner, quant-ph/0012111.
16. A. Kitaev, Ann. Phys. (N.Y.) APNYA6 0003-4916 303, 2 (2003). 10.1016/S0003-4916(02)00018-0
17. S. Bravyi and R. Raussendorf, quant-ph/0610162.
18. M. Van den Nest, W. Dür, and H.J. Briegel (to be published).
19. P. Hlineny and G. Whittle, European Journal of Combinatorics EJOCDI 0195-6698 27, 1117 (2006). 10.1016/j.ejc.2006.06.005
20. A. Andrzejak, Discrete Appl. Math. DAMADU 0166-218X 190, 39 (1998). 10.1016/S0012-365X(98)00113-7
21. R. Raussendorf and H.J. Briegel, Phys. Rev. Lett. 86, 5188 (2001). PRLTAO 0031-9007 10.1103/PhysRevLett.86.5188