Localization in the quantum sawtooth map emulated on a quantum-information processor

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 74, Issue 6, 2006, Pages

  Henry, Michael K ^a   Emerson, Joseph ^b,c   Martinez, Rudy ^d   Cory, David G ^a  

^a Massachusetts Institute of Technology Cambridge   (United States)

^b PERIMETER INSTITUTE FOR THEORETICAL PHYSICS   (Canada)

^c UNIVERSITY OF WATERLOO   (Canada)

^d NEW MEXICO HIGHLANDS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATION THEORY; DATA PROCESSING; ITERATIVE METHODS; MEASUREMENT THEORY; PROBABILITY DISTRIBUTIONS;

COHERENCE-DEPENDENT LOCALIZATION; MOMENTUM SPACE; QUANTUM SAWTOOTH MAP; QUANTUM-INFORMATION PROCESSOR;

QUANTUM THEORY;

EID: 33845773409     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.74.062317     Document Type: Article

References (21)

1. G. Casati, B. V. Chirikov, F. M. Izraelev, and J. Ford, Lect. Notes Phys. LNPHA4 0075-8450 93, 334 (1979).
2. B. Georgeot and D. L. Shepelyansky, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.2890 86, 2890 (2001).
3. G. Benenti, G. Casati, S. Montangero, and D. L. Shepelyansky, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.227901 87, 227901 (2001).
4. B. Levi and B. Georgeot, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.056218 70, 056218 (2004).
5. G. Benenti, G. Casati, and S. Montangero, QIP 3, 273 (2004).
6. E. Ott, T. M. Antonsen, and J. D. Hanson, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.53.2187 53, 2187 (1984).
7. J. W. Lee and D. L. Shepelyansky, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.056202 71, 056202 (2005).
8. P. H. Song and D. L. Shepelyansky, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.2162 86, 2162 (2001).
9. B. Levi, B. Georgeot, and D. L. Shepelyansky, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.046220 67, 046220 (2003).
10. Y. S. Weinstein, T. F. Havel, J. Emerson, N. Boulant, M. Saraceno, S. Lloyd, and D. G. Cory, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1785151 121, 6117 (2004).
11. M. A. Pravia, N. Boulant, J. Emerson, A. Farid, E. M. Fortunato, T. F. Havel, R. Martinez, and D. G. Cory, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1619132 119, 9993 (2003).
12. N. Boulant, J. Emerson, T. F. Havel, D. G. Cory, and S. Furuta, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1773161 121, 2955 (2004).
13. G. Benenti, G. Casati, S. Montangero, and D. L. Shepelyansky, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.67.052312 67, 052312 (2003).
14. M. A. Neilsen and I. L. Chuang, in Quantum Computation and Quantum Information Processing (Cambridge University Press, Cambridge, 2000), Chap., pp. 217-221.
15. Y. S. Weinstein, M. A. Pravia, E. M. Fortunato, S. Lloyd, and D. G. Cory, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.1889 86, 1889 (2001).
16. D. G. Cory, A. F. Fahmy, and T. F. Havel, Proc. Natl. Acad. Sci. U.S.A. PNASA6 0027-8424 10.1073/pnas.94.5.1634 94, 1634 (1997).
17. G. Teklemariam, E. M. Fortunato, M. A. Pravia, T. F. Havel, and D. G. Cory, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.5845 86, 5845 (2001).
18. E. M. Fortunato, M. A. Pravia, N. Boulant, G. Teklemariam, T. F. Havel, and D. G. Cory, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1465412 116, 7599 (2002).
19. R. R. Ernst, G. Bodenhausen, and A. Wokaun, in Principles of Nuclear Magnetic Resonance in One and Two Dimensions (Clarendon Press, Oxford, 1987), Chap., pp. 49-55.
20. K. Kraus, in States, Effects, and Operations (Springer, Berlin, FRG, 1983).
21. T. F. Havel, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.1518555 44, 534 (2003).