Protected qubits and Chern-Simons theories in Josephson junction arrays

Physical Review B - Condensed Matter and Materials Physics

Volumn 71, Issue 2, 2005, Pages

  Doucot B ^a,b   Feigel'man, M V ^b   Ioffe, L B ^b,c   Ioselevich, A S ^b  

^a LPTHE   (France)

^b LANDAU INSTITUTE FOR THEORETICAL PHYSICS   (Russian Federation)

^c RUTGERS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; COMPUTER; CONDUCTANCE; DYNAMICS; ENERGY; JOSEPHSON JUNCTION ARRAY; MATHEMATICAL ANALYSIS; MODEL; QUANTUM COMPUTER; QUBIT; SPACE; SUPERCONDUCTOR;

EID: 84856122872     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.71.024505     Document Type: Article

References (33)

1. P. W. Shor, Proceedings of the 35th Symposium on the Foundations of Computer Science, Los Alamitos, CA (IEEE, New York, 1994).
2. A. Ekert and R. Jozsa, Rev. Mod. Phys. 68, 733 (1996).
3. A. Steane, Rep. Prog. Phys. 61, 117 (1998).
4. P. W. Shor, Phys. Rev. A 52, R2493 (1995).
5. E. Dennis, A. Kitaev, A. Landahl, and J. Preskill, J. Math. Phys. 43, 4452 (2002).
6. J. Preskill, Proc. R. Soc. London, Ser. A 454, 385 (1998).
7. L. B. Ioffe, V. B. Geshkenbein, Ch. Helm, and G. Blatter (unpublished).
8. A. Yu. Kitaev, Ann. Phys. (N.Y.) 303, 2 (2003).
9. L. B. Ioffe, M. V. Feigel'man, A. Ioselevich, D. Ivanov, M. Troyer, and G. Blatter, Nature (London) 415, 503 (2002).
10. L. B. Ioffe and M. V. Feigel'man, Phys. Rev. B 66, 224503 (2002).
11. B. Douçot, M. V. Feigel'man, and L. B. Ioffe, Phys. Rev. Lett. 90, 107003 (2003).
12. M. V. Feigel'man, L. B. Ioffe, V. B. Geshkenbein, P. Dayal, and G. Blatter, Phys. Rev. Lett. 92, 098301 (2004).
13. K. I. Kugel and D. I. Khomskii, Sov. Phys. Usp. 25, 231 (1982).
14. R. J. Baxter, Exactly Solvable Models in Statistical Mechanics (Academic, London, 1982), Chap. 12.
15. F. Y. Wu, Rev. Mod. Phys. 54, 235 (1982).
16. V. S. Dotsenko and V. A. Fateev, Nucl. Phys. B 240, 312 (1984).
17. See, e.g., G. Blatter, V. B. Geshkenbein, and L. B. Ioffe, Phys. Rev. B 63, 174511 (2001).
18. B. Douçot and J. Vidal, Phys. Rev. Lett. 88, 227005 (2002).
19. D. Arovas, J. R. Schrieffer, F. Wilczek, and A. Zee, Nucl. Phys. B 251, 117 (1985).
20. D. Eliezer and G. W. Semenoff, Phys. Lett. B 286, 118 (1992).
21. M. C. Diamantini, P. Sodano, and C. A. Trugenberger, Phys. Rev. Lett. 71, 1969 (1993).
22. A. Paramekanti, L. Balents, and M. P. A. Fisher, Phys. Rev. B 66, 054526 (2002).
23. O. Alvarez, Commun. Math. Phys. 100, 279, (1985).
24. M. Henneaux and C. Teitelboim, Phys. Rev. Lett. 56, 689 (1986).
25. A. M. Polyakov, Phys. Lett. 59B, 82, (1975).
26. A. M. Polyakov, Nucl. Phys. B 120, 429 (1977).
27. R. D. Pisarski, Phys. Rev. D 34, 3851 (1986).
28. I. Affleck, J. Harvey, L. Palla, and G. Semenoff, Nucl. Phys. B 328, 575 (1989).
29. E. Fradkin, Field Theories of Condensed Matter Systems (Addison-Wesley, New York, 1991), Chap. IV.
30. M. Freedman, C. Nayak, K. Shtengel, K. Walker, and Z. Wang, cond-mat/0307511.
31. M. Freedman, C. Nayak, and K. Shtengel, cond-mat/0309120.
32. C. Mochon, Phys. Rev. A 67, 022315 (2003).
33. C. Mochon, quant-ph/0306063.