Fidelity Decay as an Efficient Indicator of Quantum Chaos

Physical Review Letters

Volumn 89, Issue 28, 2002, Pages

  Emerson, Joseph ^a   Weinstein, Yaakov S ^a   Lloyd, Seth ^a   Cory, D G ^a  

^a Massachusetts Institute of Technology Cambridge   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CHAOS THEORY; COMPUTATIONAL METHODS; COMPUTER SIMULATION; EIGENVALUES AND EIGENFUNCTIONS; ELECTRONIC DENSITY OF STATES; FOURIER TRANSFORMS; PERTURBATION TECHNIQUES; POISSON DISTRIBUTION; STATISTICAL METHODS;

FIDELITY DECAY; GENERIC QUANTUM PERTURBATION; HILBERT SPACE VECTOR; QUANTUM CHAOS; QUANTUM INFORMATION PROCESSOR;

QUANTUM THEORY;

EID: 0037207336     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.89.284102     Document Type: Article

References (28)

1. S. Lloyd, Science 273, 1073 (1996).
2. C. Zalka, Proc. R. Soc. London A 454, 313 (1998);
3. S. Weisner, quant-ph/9603028.
4. B. Georgeot and D.L. Shepelyansky, Phys. Rev. Lett.10.1103/PhysRevLett.87.227901 86, 2890 (2001).
5. R. Schack, Phys. Rev. A10.1103/PhysRevA.57.1634 57, 1634 (1998).
6. G. Benenti, G. Casati, S. Montangero, and D.L. Shepelyansky, Phys. Rev. Lett.10.1016/0375-9601(87)90203-9 87, 227901 (2001).
7. Y.S. Weinstein, S. Lloyd, J. Emerson, and D. Cory, Phys. Rev. Lett. (to be published).
8. M.V. Berry and M. Tabor, Proc. R. Soc. London A 356, 375 (1977);
9. O. Bohigas, M.J. Giannoni, and C. Schmit, Phys. Rev. Lett.10.1103/PhysRevLett.52.1 52, 1 (1984).
10. F.M. Izrailev, Phys. Lett. A10.1103/PhysRevA.42.1013 125, 250 (1987);
11. M. Kus, J. Mostowski, and F. Haake, J. Phys. AJPHAC5 21, L1073 (1988);
12. F. Haake and K. Zyczkowski, Phys. Rev. A 42, 1013 (1990).
13. A. Peres, Phys. Rev. A10.1103/PhysRevA.30.1610 30, 1610 (1984).
14. R.A. Jalabert and H.M. Pastawski, Phys. Rev. Lett.10.1103/PhysRevLett.86.2490 86, 2490 (2001);
15. F. Cucchietti, C.H. Lewenkopf, E.R. Mucciolo, H. Pastawski, and R.O. Vallejos, nlin.CD/0112015.
16. Ph. Jacquod, P.G. Silvestrov, and C.W.J. Beenakker, Phys. Rev. EPLEEE810.1103/PhysRevE.64.055203 64, 055203 (2001).
17. G. Benenti and G. Casati, quant-ph/0112060.
18. T. Prosen and M. Znidaric, J. Phys. AJPHAC510.1088/0305-4470/35/6/309 35, 1455 (2002).
19. E.P. Wigner, Ann. Math.10.1103/PhysRevLett.76.1603 62, 548 (1955);
20. 65, 203 (1957).
21. Y.V. Fyodorov, O.A. Chubykalo, F.M. Izrailev, and G. Casati, Phys. Rev. Lett.10.1103/PhysRevE.57.5291 76, 1603 (1996).
22. D. Wisniacki, E. Vergini, H. Pastawski, and F. Cucchietti, nlin.CD/0111051.
23. F. Borgonovi, I. Guarneri, and F.M. Izrailev, Phys. Rev. EPLEEE810.1103/PhysRevA.61.012302 57, 5291 (1998).
24. C.H. Tseng, S. Somaroo, Y. Sharf, E. Knill, R. Laflamme, T.F. Havel, and D. Cory, Phys. Rev. A10.1088/0305-4470/27/12/028 61, 012302 (1999).
25. L. Viola, E. Fortunato, M. Pravia, E. Knill, R. Laflamme, and D. Cory, Science10.1126/science.1064460 293, 2059 (2001).
26. F. Haake, Quantum Signatures of Chaos (Springer, New York, 2001).
27. K. Zyczkowski and M. Kus, J. Phys. AJPHAC5 27, 4235 (1994).
28. F. Haake, M. Kus, and R. Scharf, Z. Phys. B 65, 381 (1987).