Simple non-Markovian microscopic models for the depolarizing channel of a single qubit

Physica Scripta

Volumn 86, Issue 6, 2012, Pages

  Fonseca Romero, K M ^a   Lo Franco, R ^b  

^a UNIVERSIDAD NACIONAL DE COLOMBIA   (Colombia)

^b UNIVERSITY OF PALERMO   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

MARKOVIAN; MICROSCOPIC MODELS; NOISY CHANNEL; NON-MARKOVIAN; SINGLE QUBITS;

DEPOLARIZATION; QUANTUM COMPUTERS;

DAMPING;

EID: 84870378932     PISSN: 00318949     EISSN: 14024896     Source Type: Journal    
DOI: 10.1088/0031-8949/86/06/065004     Document Type: Article

References (51)

1. Oppenheim I and Shuler K E 1965 Phys. Rev. B 138 1007
2. Andersson E, Cresser J D and Hall M J W 2007 J. Mod. Opt. 54 1695 (Pubitemid 47384464)
3. Chruścin'ski D and Kossakowski A 2010 Phys. Rev. Lett. 104 070406
4. Breuer H-P 2004 Phys. Rev. A 70 012106
5. Andersson E, Cresser J D and Hall M J W 2010 arXiv:1009.0845
6. Laine E-M, Luoma K and Piilo J 2012 J. Phys. B: At. Mol. Opt. Phys. 45 154004
7. Nielsen M A and Chuang I L 2000 Quantum Computation and Quantum Information (Cambridge: Cambridge University Press)
8. Almeida M P et al 2007 Science 316 579 (Pubitemid 46683139)
9. John S and Quang T 1995 Phys. Rev. Lett. 74 3419
10. Quang T, Woldeyohannes M, John S and Agarwal G S 1997 Phys. Rev. Lett. 79 5238
11. de Vega I, Alonso D and Gaspard P 2005 Phys. Rev. A 71 023812 (Pubitemid 43286551)
12. Florescu L, John S, Quang T and Wang R 2004 Phys. Rev. A 69 013816
13. Bellomo B, Lo Franco R, Maniscalco S and Compagno G 2008 Phys. Rev. A 78 060302
14. Bellomo B, Lo Franco R, Maniscalco S and Compagno G 2010 Phys. Scr. T140 014014
15. Mazzola L, Bellomo B, Lo Franco R and Compagno G 2010 Phys. Rev. A 81 052116
16. Bellomo B et al 2011 Phys. Scr. T143 014004
17. Cohen-Tannoudji C J, Dupont-Roc J and Grynberg G 1992 Atom Photon Interaction: Basic Processes and Applications (New York: Wiley)
18. Gardiner C W 1985 Handbook of Stochastic Methods (Springer Series in Synergetics vol 18) (Berlin: Springer)
19. Scully M O and Zubairy M S 1997 Quantum Optics (Cambridge: Cambridge University Press)
20. Walls D F and Millburn G J 1994 Quantum Optics (Berlin: Springer)
21. Louisell W H 1990 Quantum Statistical Properties of Radiation (New York: Wiley)
22. Breuer H P and Petruccione F 2002 The Theory of Open Quantum Systems (Oxford: Oxford University Press)
23. Suárez A, Silbey R and Oppenheim I 1992 J. Chem. Phys. 97 5101
24. Gnutzmann S and Haake F 1996 J. Phys.: Condens. Matter 101 263
25. Lindblad G 1976 Commun. Math. Phys. 48 119
26. Gorini V, Kossakowski A and Sudarshan E C G 1976 J. Math. Phys. 17 821
27. de Berredo R C et al 1998 Phys. Scr. 57 533
28. Feynman R P and Vernon F L Jr 1963 Ann. Phys. 24 118
29. Kraus K, Bohm A, Dollard J D and Wootters W H 1983 States, Effects and Operations: Fundamental Notions of Quantum Theory (Lectures in Mathematical Physics at the University of Texas at Austin/Karl Kraus) ed A Bohm, J D Dollard and W H Wootters (Berlin: Springer)
30. Bacon D, Lidar D A and Whaley K B 1999 Phys. Rev. A 60 1944
31. Lidar D A, Bihary Z and Whaley K B 2001 Chem. Phys. 268 35 (Pubitemid 32525887)
32. Preskill J 1998 Lecture Notes for Physics 229: Quantum Information and Computation http://theory.caltech.edu/∼preskill/ph229/#lecture
33. Bowen G and Bose S 2001 Phys. Rev. Lett. 87 267901
34. Roszak K and Machnikowski P 2006 Phys. Rev. A 73 022313 (Pubitemid 43270305)
35. Pirandola S, Mancini S, Braunstein S L and Vitali D 2008 Phys. Rev. A 77 032309 (Pubitemid 351398914)
36. Loss D and DiVincenzo D P 1998 Phys. Rev. A 57 120
37. Fonseca Romero K M 2011 unpublished
38. Hutton A and Bose S 2004 Phys. Rev. A 69 042312
39. Hamdouni Y and Petruccione F 2007 Phys. Rev. B 76 174306
40. Melikidze A et al 2004 Phys. Rev. B 70 014435
41. Specht H P et al 2011 Nature 473 190
42. Collett M J 1988 Phys. Rev. A 38 2233
43. Luczka J 1990 Physica. A 167 919
44. van Kampen N G 1995 J. Stat. Phys. 78 299
45. Palma G M, Suominen K A and Ekert A K 1996 Proc. R. Soc. Lond. A 452 567
46. Fonseca Romero K M and Nemes M C 1997 Phys. Lett. A 235 432
47. Lo Franco R et al 2012 Phys. Scr. T147 014019
48. Risken H 1989 The Fokker-Planck Equation - Methods of Solution and Applications (Berlin: Springer)
49. Garraway B M 1997 Phys. Rev. A 55 2290
50. Maniscalco S and Petruccione F 2006 Phys. Rev. A 73 012111 (Pubitemid 43270069)
51. Fonseca Romero K M and Nemes M C 2003 Physica A 325 333