Noise models for superoperators in the chord representation

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 70, Issue 6, 2004, Pages

  Aolita, Mario Leandro ^a,c   García Mata, Ignacio ^a   Saraceno, Marcos ^a,b  

^a Departamento de Física   (Argentina)

^b UNIVERSIDAD NACIONAL DE SAN MARTÍN   (Argentina)

^c FEDERAL UNIVERSITY OF RIO DE JANEIRO   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; DAMPING; DIFFUSION; FUNCTIONS; MARKOV PROCESSES; MATHEMATICAL OPERATORS; MATRIX ALGEBRA; SPURIOUS SIGNAL NOISE;

CHORD REPRESENTATION; LINDBLAD OPERATORS; QUANTUM SYSTEMS; SUPEROPERATORS;

QUANTUM THEORY;

EID: 42749098439     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.70.062301     Document Type: Article

References (42)

1. L. Davidovich, in Latin-American School of Physics XXXI ELAF, edited by Shahen Hacyan, Rocío Jáuregui, and Ramón López-Peña, AIP Conf. Proc. No. 464 (AIP, Woodbury, NY, 1999); Proceedings of the First PASI Conference on Chaos, Decoherence, and Entanglement 2000 (unpublished), http://kaiken.df.uba.ar
2. L. Davidovich, in Latin-American School of Physics XXXI ELAF, edited by Shahen Hacyan, Rocío Jáuregui, and Ramón López-Peña, AIP Conf. Proc. No. 464 (AIP, Woodbury, NY, 1999); Proceedings of the First PASI Conference on Chaos, Decoherence, and Entanglement 2000 (unpublished), http://kaiken.df.uba.ar
3. See, for example, W. H. Zurek, Phys. Today 44(10), 36 (1991); J. P. Paz, S. Habib, and W. H. Zurek, Phys. Rev. D 47, 488 (1992).
4. See, for example, W. H. Zurek, Phys. Today 44(10), 36 (1991); J. P. Paz, S. Habib, and W. H. Zurek, Phys. Rev. D 47, 488 (1992).
5. J. P. Paz and W. H. Zurek, in Coherent Matter Waves, edited by R. Kaiser, C. Westbrook, and F. David in Proceedings of the Les Houches Summer School of Theoretical Physics, Session LXXII (Springer-Verlag, Berlin, 2001).
6. C. Miquel, J. P. Paz, and M. Saraceno, Phys. Rev. A 65, 062309 (2002).
7. W. H. Zurek, Nature (London) 412, 712 (2001).
8. A. M. Ozorio de Almeida, Phys. Rep. 295, 266 (1998); A. Rivas and A. M. Ozorio de Almeida, Ann. Phys. (N.Y.) 276, 223 (1999).
9. A. M. Ozorio de Almeida, Phys. Rep. 295, 266 (1998); A. Rivas and A. M. Ozorio de Almeida, Ann. Phys. (N.Y.) 276, 223 (1999).
10. J. Preskill, http://www.theory.caltech.edu/people/preskill
11. I. Chuang and M. Nielsen, Quantum Information and Computation (Cambridge University Press, Cambridge, U.K., 2001).
12. I. García-Mata, M. Saraceno, and M. E. Spina, Phys. Rev. Lett. 91, 064101 (2003).
13. I. García-Mata and M. Saraceno, Phys. Rev. E 69, 056211 (2004).
14. G. Lindblad, Commun. Math. Phys., 48, 119 (1976).
15. G. W. Gardiner and P. Zoller, Quantum Noise: A Handbook of Markovian and Non-Markovian Quantum Stochastic Methods with Applications to Quantum Optics (Springer-Verlag, Berlin, 2000); B. Kümmerer, in Coherent Evolution in Noisy Environments, edited by A. Buchleitner and K. Hornberger (Springer-Verlag, Berlin, 2002).
16. G. W. Gardiner and P. Zoller, Quantum Noise: A Handbook of Markovian and Non-Markovian Quantum Stochastic Methods with Applications to Quantum Optics (Springer-Verlag, Berlin, 2000); B. Kümmerer, in Coherent Evolution in Noisy Environments, edited by A. Buchleitner and K. Hornberger (Springer-Verlag, Berlin, 2002).
17. V. Gorini, A. Kossakowski, and E. C. G. Sudarshan, J. Math. Phys. 17, 821 (1976).
18. K. Kraus, States, Effects and Operations (Springer-Verlag, Berlin, 1983).
19. See T. F. Havel, J. Math. Phys. 44, 534 (2003), and references therein.
20. G. Palla, G. Vattay, and Andre Voros, Phys. Rev. E 64, 012104 (2001).
21. D. Braun, Chaos 9, 730 (1999); Physica D 131, 265 (1999); Dissipative Quantum Chaos and Decoherence (Springer-Verlag, Berlin, 2001).
22. D. Braun, Chaos 9, 730 (1999); Physica D 131, 265 (1999); Dissipative Quantum Chaos and Decoherence (Springer-Verlag, Berlin, 2001).
23. D. Braun, Chaos 9, 730 (1999); Physica D 131, 265 (1999); Dissipative Quantum Chaos and Decoherence (Springer-Verlag, Berlin, 2001).
24. S. Nonnenmacher, Nonlinearity 16, 1685 (2003).
25. M. E. Spina and M. Saraceno, e-print nlin.CD/0406001.
26. C. Miquel, J. P. Paz, M. Saraceno, E. Knill, R. Laflamme, and C. Negrevergne, Nature (London) 418, 59 (2002).
27. J. P. Paz, A. J. Roncaglia, and M. Saraceno, Phys. Rev. A 69, 032312 (2004).
28. J. Schwinger, Proc. Natl. Acad. Sci. U.S.A. 46, 570 (1960).
29. J. H. Hannay and M. V. Berry, Physica D 1, 267 (1980).
30. E. Knill, Los Alamos National Laboratory Report No. LAUR-96-2717 (unpublished); Los Alamos National Laboratory Report No. LAUR-96-2807 (unpublished).
31. E. Knill, Los Alamos National Laboratory Report No. LAUR-96-2717 (unpublished); Los Alamos National Laboratory Report No. LAUR-96-2807 (unpublished).
32. G. G. Carlo, G. Benenti, G. Casati, and C. Mejfa-Monasterio, Phys. Rev. A 69, 062317 (2004).
33. G. Mahler and V. A. Weberruß, Quantum Networks: Dynamics of Open Nanostructures (Springer-Verlag, Berlin, 1998).
34. M. J. Hall, Phys. Rev. A 50, 3295 (1994).
35. M. Blank, G. Keller, and C. Liverani, Nonlinearity 15, 1905 (2002).
36. D. Ruelle, Phys. Rev. Lett. 56, 405 (1986); J. Stat. Phys. 44, 281 (1986).
37. D. Ruelle, Phys. Rev. Lett. 56, 405 (1986); J. Stat. Phys. 44, 281 (1986).
38. K. Pance, W. T. Lu, and S. Sridhar, Phys. Rev. Lett. 85, 2737 (2000).
39. G. Blum and O. Agam, Phys. Rev. E 62, 1977 (2000).
40. R. Florido, J. M. Martín-González, and J. M. Gómez Llorente, Phys. Rev. E 66, 046208 (2002).
41. C. Manderfeld, J. Weber, and F. Haake, J. Phys. A 34, 9893 (2001).
42. M. L. Aolita and M. Saraceno (unpublished).