Imperfection effects for multiple applications of the quantum wavelet transform

Physical Review Letters

Volumn 90, Issue 25 I, 2003, Pages 2579021-2579024

  Terraneo, M ^a   Shepelyansky, D L ^a  

^a CNRS   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATIONAL COMPLEXITY; MATHEMATICAL MODELS; PERTURBATION TECHNIQUES; WAVELET TRANSFORMS;

QUANTUM COMPUTATION;

QUANTUM THEORY;

EID: 0041766719     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (27)

1. I. Daubechies, Ten Lectures on Wavelets, CBMS-NSF Series in Applied Mathematics (SIAM, Philadelphia, 1992).
2. Y. Meyer, Wavelets: Algorithms and Applications (SIAM, Philadelphia, 1993).
3. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2000).
4. P. W. Shor, in Proceedings of the 35th Annual Symposium on Foundation of Computer Science, edited by S. Goldwasser (IEEE Computer Society, Los Alamitos, California, 1994), p. 124.
5. R. Schack, Phys. Rev. A 57, 1634 (1998).
6. P. H. Song and D. L. Shepelyansky, Phys. Rev. Lett. 86, 2162 (2001).
7. G. Benenti et al., Phys. Rev. Lett. 87, 227901 (2001).
8. J. I. Cirac and P. Zoller, Phys. Rev. Lett. 74, 4091 (1995).
9. C. Miquel, J. P. Paz, and W. H. Zurek, Phys. Rev. Lett. 78, 3971 (1997).
10. P. Hoyer, quant-ph/9702028.
11. A. Fijaney and C. Williams, Lecture Notes in Computer Science (Springer, Berlin, 1998), No. 1509, p. 10; quant-ph/9809004.
12. A. Klappenecker, in Wavelet Applications in Signal and Image Processing VII, edited by M. A. Unser, A. Aldroubi, and A. F., SPIE Proceedings (SPIE-International Society for Optical Engineering, Bellingham, WA, 1999), p. 703.
13. J. P. Bouchaud and A. Georges, Phys. Rep. 195, 127 (1990).
14. A. D. Mirlin et al., Phys. Rev. E 54, 3221 (1996); M. L. Ndawana and V. E. Kravtsov, cond-mat/0302569.
15. A. D. Mirlin et al., Phys. Rev. E 54, 3221 (1996); M. L. Ndawana and V. E. Kravtsov, cond-mat/0302569.
16. A. Mirlin, Phys. Rep. 326, 259 (2000).
17. M. Terraneo and D. L. Shepelyansky, quant-ph/0303043.
18. A. Barenco et al., Phys. Rev. A 52, 3457 (1995).
19. B. Georgeot and D. L. Shepelyansky, Phys. Rev. Lett. 86, 5393 (2001).
20. B. Georgeot and D. L. Shepelyansky, Phys. Rev. E 62, 3504 (2000); 62, 6366 (2000).
21. B. Georgeot and D. L. Shepelyansky, Phys. Rev. E 62, 3504 (2000); 62, 6366 (2000).
22. G. Benenti et al., Eur. Phys. J. D 20, 293 (2002); 22, 285 (2003).
23. G. Benenti et al., Eur. Phys. J. D 20, 293 (2002); 22, 285 (2003).
24. W. H. Zurek, Phys. Rev. Lett. 53, 391 (1984); V. V. Flambaum, Aust. J. Phys. 53, 489 (2000).
25. W. H. Zurek, Phys. Rev. Lett. 53, 391 (1984); V. V. Flambaum, Aust. J. Phys. 53, 489 (2000).
26. A. Steane, quant-ph/0207119.
27. D. Gottesman (personal communication).