Dynamically localized systems: Exponential sensitivity of entanglement and efficient quantum simulations

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 70, Issue 3, 2004, Pages

  Montangero, Simone ^a  

^a SCUOLA NORMALE SUPERIORE   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CHAOS THEORY; COMPUTER SIMULATION; EIGENVALUES AND EIGENFUNCTIONS; FOURIER TRANSFORMS; MATRIX ALGEBRA; QUANTUM INTERFERENCE PHENOMENA;

QUANTUM ALGORITHMS; QUANTUM CHAOS; QUANTUM SAWTOOTH MAP (QSM); QUANTUM SIMULATIONS;

QUANTUM THEORY;

EID: 19644400653     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevA.70.032311     Document Type: Article

References (27)

1. S. Bettelli and D. L. Shepelyansky, Phys. Rev. A 67, 054303 (2003); A. J. Scott and C. M. Caves, J. Phys. A 36, 9553 (2003); X. Wang, S. Ghose, B. C. Sanders, and B. Hu, e-print quant-ph/0312047; D. Rossini, G. Benenti, and G. Casati, Phys. Rev. A 69, 052317 (2004).
2. S. Bettelli and D. L. Shepelyansky, Phys. Rev. A 67, 054303 (2003); A. J. Scott and C. M. Caves, J. Phys. A 36, 9553 (2003); X. Wang, S. Ghose, B. C. Sanders, and B. Hu, e-print quant-ph/0312047; D. Rossini, G. Benenti, and G. Casati, Phys. Rev. A 69, 052317 (2004).
3. S. Bettelli and D. L. Shepelyansky, Phys. Rev. A 67, 054303 (2003); A. J. Scott and C. M. Caves, J. Phys. A 36, 9553 (2003); X. Wang, S. Ghose, B. C. Sanders, and B. Hu, e-print quant-ph/0312047; D. Rossini, G. Benenti, and G. Casati, Phys. Rev. A 69, 052317 (2004).
4. S. Bettelli and D. L. Shepelyansky, Phys. Rev. A 67, 054303 (2003); A. J. Scott and C. M. Caves, J. Phys. A 36, 9553 (2003); X. Wang, S. Ghose, B. C. Sanders, and B. Hu, e-print quant-ph/0312047; D. Rossini, G. Benenti, and G. Casati, Phys. Rev. A 69, 052317 (2004).
5. D. Poulin, R. Laflamme, G. J. Milburn, and J. P. Paz, Phys. Rev. A 68, 022302 (2003).
6. G. Casati and S. Montangero, in Decoherence and Entropy in Complex Systems, edited by H.-T. Elze, Lecture Notes in Physics Vol. 633 (Springer, Berlin, 2004), p. 341.
7. G. Vidal, Phys. Rev. Lett. 91, 147902 (2003).
8. F. Haake, Quantum Signatures of Chaos (Springer, Berlin, 1991).
9. R. A. Jalabert and H. M. Pastawski, Phys. Rev. Lett. 86, 2490 (2001); P. Jacquod, P. G. Silvestrov, and C. W.J. Beenakker, Phys. Rev. E 64, 055203 (2001); G. Benenti and G. Casati, ibid. 66, 066205 (2002); T. Prosen and M. Znidaric, J. Phys. A 34, L681 (2001); T. Prosen, T. H. Seligman, and M. Znidaric, Prog. Theor. Phys. Suppl. 150, 200 (2003).
10. R. A. Jalabert and H. M. Pastawski, Phys. Rev. Lett. 86, 2490 (2001); P. Jacquod, P. G. Silvestrov, and C. W.J. Beenakker, Phys. Rev. E 64, 055203 (2001); G. Benenti and G. Casati, ibid. 66, 066205 (2002); T. Prosen and M. Znidaric, J. Phys. A 34, L681 (2001); T. Prosen, T. H. Seligman, and M. Znidaric, Prog. Theor. Phys. Suppl. 150, 200 (2003).
11. R. A. Jalabert and H. M. Pastawski, Phys. Rev. Lett. 86, 2490 (2001); P. Jacquod, P. G. Silvestrov, and C. W.J. Beenakker, Phys. Rev. E 64, 055203 (2001); G. Benenti and G. Casati, ibid. 66, 066205 (2002); T. Prosen and M. Znidaric, J. Phys. A 34, L681 (2001); T. Prosen, T. H. Seligman, and M. Znidaric, Prog. Theor. Phys. Suppl. 150, 200 (2003).
12. R. A. Jalabert and H. M. Pastawski, Phys. Rev. Lett. 86, 2490 (2001); P. Jacquod, P. G. Silvestrov, and C. W.J. Beenakker, Phys. Rev. E 64, 055203 (2001); G. Benenti and G. Casati, ibid. 66, 066205 (2002); T. Prosen and M. Znidaric, J. Phys. A 34, L681 (2001); T. Prosen, T. H. Seligman, and M. Znidaric, Prog. Theor. Phys. Suppl. 150, 200 (2003).
13. R. A. Jalabert and H. M. Pastawski, Phys. Rev. Lett. 86, 2490 (2001); P. Jacquod, P. G. Silvestrov, and C. W.J. Beenakker, Phys. Rev. E 64, 055203 (2001); G. Benenti and G. Casati, ibid. 66, 066205 (2002); T. Prosen and M. Znidaric, J. Phys. A 34, L681 (2001); T. Prosen, T. H. Seligman, and M. Znidaric, Prog. Theor. Phys. Suppl. 150, 200 (2003).
14. S. Montangero, G. Benenti, and R. Fazio, Phys. Rev. Lett. 91, 187901 (2003).
15. O. Chen, I. Dana, J. D. Meiss, N. W. Murray, and I. C. Percival, Physica D 46, 217 (1990); I. Dana, N. W. Murray, and I. C. Percival, Phys. Rev. Lett. 62, 233 (1989).
16. O. Chen, I. Dana, J. D. Meiss, N. W. Murray, and I. C. Percival, Physica D 46, 217 (1990); I. Dana, N. W. Murray, and I. C. Percival, Phys. Rev. Lett. 62, 233 (1989).
17. G. Benenti, G. Casati, S. Montangero, and D. L. Shepelyansky, Phys. Rev. A 67, 052312 (2003).
18. G. Casati, B. V. Chirikov, J. Ford, and F. M. Izrailev, Lect. Notes Phys. 93, 334 (1979); for a review see, e.g., F. M. Izrailev, Lect. Notes Phys. 129, 299 (1990).
19. G. Casati, B. V. Chirikov, J. Ford, and F. M. Izrailev, Lect. Notes Phys. 93, 334 (1979); for a review see, e.g., F. M. Izrailev, Lect. Notes Phys. 129, 299 (1990).
20. F. L. Moore, J. C. Robinson, C. Bharucha, P. E. Williams, and M. G. Raizen. Phys. Rev. Lett. 73, 2974 (1994).
21. S. Fishman, D. R. Grempel, and R. E. Prange, Phys. Rev. Lett. 49, 509 (1982).
22. G. Benenti, G. Casati, S. Montangero, and D. L. Shepelyansky, Phys. Rev. Lett. 87, 227901 (2001).
23. A. Ekert and R. Jozsa, Rev. Mod. Phys. 68, 733 (1996).
24. M. Terraneo and D. L. Shepelyansky, Phys. Rev. Lett. 92, 037902 (2004).
25. C. H. Bennett, D. P. DiVincenzo, J. A. Smolin, and W. K. Wootters, Phys. Rev. A 54, 3824 (1996); W. K. Wootters, Phys. Rev. Lett. 80, 2245 (1998).
26. C. H. Bennett, D. P. DiVincenzo, J. A. Smolin, and W. K. Wootters, Phys. Rev. A 54, 3824 (1996); W. K. Wootters, Phys. Rev. Lett. 80, 2245 (1998).
27. H. Li, X. Wang, and Y. Li, e-print quant-ph/0403178.