Discrete non-Abelian gauge theories in Josephson-junction arrays and quantum computation

Physical Review B - Condensed Matter and Materials Physics

Volumn 69, Issue 21, 2004, Pages

  Douçot, Benoit ^a   Ioffe, Lev B ^b   Vidal, Julien ^c  

^a LPTHE   (France)

^b RUTGERS UNIVERSITY   (United States)

^c INSTITUT DES NANOSCIENCES DE PARIS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; DYNAMICS; ENERGY; MATHEMATICAL ANALYSIS; MATHEMATICAL COMPUTING; MATHEMATICAL MODEL; QUANTUM MECHANICS; QUANTUM THEORY;

EID: 42749105513     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevB.69.214501     Document Type: Article

References (25)

1. A. Ekert and R. Jozsa, Rev. Mod. Phys. 68, 733 (1996).
2. A. Steane, Rep. Prog. Phys. 61, 117 (1998).
3. J. Preskill, Proc. R. Soc. London, Ser. A 454, 385 (1998).
4. X.G. Wen and Q. Niu, Phys. Rev. B 41, 9377 (1990).
5. X.G. Wen, Phys. Rev. B 44, 2664 (1991).
6. N. Read and S. Sachdev, Phys. Rev. Lett. 66, 1773 (1991).
7. L.B. Ioffe and M.V. Feigel'man, Phys. Rev. B 66, 224503 (2002).
8. B. Douçot, M.V. Feigel'man, and L.B. Ioffe, Phys. Rev. Lett. 90, 107003 (2003).
9. A. Kitaev, Ann. Phys. (N.Y.) 303, 2 (2003).
10. M. de Wild Propitius and F. A. Bais, in Particle and Fields, edited by G.W. Semenoff and L. Vinet, CRM series in Mathematics (Springer-Verlag, New York, 1999), p. 353.
11. A.A. Odintsov and Yu.V. Nazarov, Phys. Rev. B 51, 1133 (1995).
12. M.Y. Choi, Phys. Rev. B 50, 10 088 (1994).
13. A. Stern, Phys. Rev. B 50, 10 092 (1994).
14. M.C. Diamantini, P. Sodano, and C.A. Trugenberger, Nucl. Phys. B 474, 641 (1996).
15. B. Douçot and J. Vidal, Phys. Rev. Lett. 88, 227005 (2002).
16. N.D. Mermin, Rev. Mod. Phys. 51, 591 (1979).
17. F.A. Bais, Nucl. Phys. B 170, 32 (1980).
18. C. Mochon, Phys. Rev. A 67, 022315 (2003).
19. C. Mochon, Phys. Rev. A 69, 032306 (2004).
20. R. Dijkgraaf, V. Pasquier, and P. Roche, Nucl. Phys. B, Proc. Suppl. 18B, 60 (1990).
21. F.A. Bais, P. van Driel, and M. de Wild Propitius, Phys. Lett. B 280, 63 (1992).
22. K. Park and D.A. Huse, Phys. Rev. B 64, 134522 (2001).
23. ab).
24. In Japanese "masu" is used to describe the shape of rhombus with diagonal and patterns built from it. We are thankful to H. Kojima for suggesting this term to us.
25. A somewhat similar phenomenon does occur in classical wire arrays (see Ref. 22).