Quantum walks: Decoherence and coin-flipping games

Physica A: Statistical Mechanics and its Applications

Volumn 390, Issue 6, 2011, Pages 1209-1220

  Romanelli, Alejandro ^a   Hernndez, Guzmn ^a  

^a INSTITUTO DE FÍSICA   (Uruguay)

Author keywords

Decoherence; Quantum game; Quantum walk

Indexed keywords

CHIRALITY; MARKOV PROCESSES;

CHIRALITY DISTRIBUTION; DECOHERENCE; DIFFUSIVE BEHAVIOR; EXPLICIT ANALYTICAL EQUATION; INITIAL CONDITIONS; QUANTUM GAMES; QUANTUM WALK; SIMULTANEOUS MEASUREMENT;

QUANTUM THEORY;

EID: 78751570936     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2010.12.006     Document Type: Article

References (67)

1. P.W. Shor SIAM J. Comput. 26 1997 1484 in: S. Goldwasser (Ed.), Proc. of the 35th Annual Symposium on the Foundations of Computer Science, Los Alamitos, CA, 1994
2. L.K. Grover, in: Proc. 28th STOC, 212, Philadelphia, PA, 1996.
3. L.K. Grover Phys. Rev. Lett. 79 1997 325
4. M. Nielssen, and I. Chuang Quantum Computation and Quantum Information 2000 Cambridge University Press
5. Y. Aharonov, L. Davidovich, and N. Zagury Phys. Rev. A 48 1993 1687
6. D.A. Meyer J. Stat. Phys. 85 1996 551
7. J. Watrous Proc. STOC'01 2001 ACM Press New York p. 60
8. A. Ambainis Int. J. Quantum Inf. 1 2003 507
9. J. Kempe Contemp. Phys. 44 2003 307
10. V. Kendon Math. Struct. Comput. Sci. 17 2006 1169
11. V. Kendon Philos. Trans. R. Soc. Ser. A 364 2006 3407
12. N. Konno U. Franz, M. Schrmann, Quantum Potential Theory Lect. Notes Math. vol. 1954 2008 Springer
13. A.M. Childs Phys. Rev. Lett. 102 2009 180501
14. A. Romanelli Phys. Rev. A 80 2009 042332
15. N. Linden, and J. Sharam Phys. Rev. A 80 2009 052327
16. A. Childs, E. Deotto, E. Farhi, S. Gutmann, D.A. Spielman, in: Proc. 35th ACM Symposium on Theory of Computing, STOC 2003, 2003, pp. 5968.
17. N. Shenvi, J. Kempe, and K. BirgittaWhaley Phys. Rev. A 67 2003 052307
18. N.B. Lovett, S. Cooper, M. Everitt, M. Trevers, and V. Kendon Phys. Rev. A 81 2010 042330
19. H.B. Perets Phys. Rev. Lett. 100 2008 170506
20. A. Schreiber Phys. Rev. Lett. 104 2010 050502
21. M. Karski, L. Frster, Jai-Min Choi, A. Steffen, W. Alt, D. Meschede, and A. Widera Science 325 2009 174
22. M.A. Broome, A. Fedrizzi, B.P. Lanyon, I. Kassal, A. Aspuru-Guzik, and A.G. White Phys. Rev. Lett. 104 2010 153602
23. W. Dr, R. Raussendorf, V.M. Kendon, and H.J. Briegel Phys. Rev. A 66 2002 052319
24. B.C. Travaglione, and G.J. Milburn Phys. Rev. A 65 2002 032310
25. B.C. Sanders, S.D. Bartlett, B. Tregenna, and P.L. Knight Phys. Rev. A 67 2003 042305
26. P.L. Knight, E. Roldn, and J.E. Sipe Phys. Rev. A 68 2003 020301(R) Opt. Commun. 227 2003 147 Opt. Commun. 232 2004 443 (erratum) J. Modern Opt. 51 2004 1761
27. D. Bouwmeester, I. Marzoli, G.P. Karman, W. Schleich, and J.P. Woerdman Phys. Rev. A 61 1999 013410
28. B. Do J. Opt. Soc. Amer. B 22 2005 499
29. C.M. Chandrashekar Phys. Rev. A 74 2006 032307
30. B. Tregenna, W. Flanagan, R. Maile, and V. Kendon New J. Phys. 5 2003 83
31. V. Kendon, and B. Tregenna Phys. Rev. A 67 2003 042315
32. T.A. Brun, H.A. Carteret, and A. Ambainis Phys. Rev. A 67 2003 052317
33. A. Wjcik, T. Luczak, P. Kurzynski, A. Grudka, and M. Bednarska Phys. Rev. Lett. 93 2004 180601
34. A. Romanelli, A. Auyuanet, R. Siri, G. Abal, and R. Donangelo Physica A 352 2005 409
35. M.C. Bauls, C. Navarrete, A. Prez, E. Roldn, and J.C. Soriano Phys. Rev. A 73 2006 062304
36. C. Navarrete-Benlloch, A. Prez, and E. Roldn Phys. Rev. A 75 2007 062333
37. P. Ribeiro, P. Milman, and R. Mosseri Phys. Rev. Lett. 93 2004 190503
38. A. Romanelli, R. Siri, G. Abal, A. Auyuanet, and R. Donangelo Physica A 347 2005 137
39. Y. Shikano, K. Chisaki, E. Segawa, and N. Konno Phys. Rev. A 81 2010 062129
40. A. Romanelli, A. Auyuanet, and R. Donangelo Physica A 375 2007 133
41. T.A. Brun, H.A. Carteret, and A. Ambainis Phys. Rev. A 67 2003 032304
42. T.A. Brun, H.A. Carteret, and A. Ambainis Phys. Rev. Lett. 91 2003 130602
43. A. Romanelli Phys. Rev. A 76 2007 054306
44. A. Romanelli Phys. Rev. A 80 2009 022102
45. H. Schomerus, and E. Lutz Phys. Rev. Lett. 98 2007 260401
46. H. Schomerus, and E. Lutz Phys. Rev. A 77 2008 062113
47. A. Romanelli, A. Auyuanet, R. Siri, and V. Micenmacher Phys. Lett. A 365 2007 200
48. A. Romanelli, R. Siri, and V. Micenmacher Phys. Rev. E 76 2007 037202
49. A. Romanelli Phys. Rev. E 78 2008 056209
50. A. Romanelli Phys. Rev. A 81 2010 062349
51. D.A. Meyer Phys. Rev. Lett. 82 1999 1052
52. S.J. van Enk Phys. Rev. Lett. 84 2000 789
53. D.A. Meyer Phys. Rev. Lett. 84 2000 790
54. G.P. Berman, D.I. Kamenev, R.B. Kassman, C. Pineda, and V.I. Tsifrinovich Int. J. Quant. Inf. 1 2003 51
55. A. Romanelli, A.C. Sicardi Schifino, G. Abal, R. Siri, and R. Donangelo Phys. Lett. A 313 2003 325
56. A. Romanelli, A.C. Sicardi Schifino, R. Siri, G. Abal, A. Auyuanet, and R. Donangelo Physica A 338 2004 395
57. G. Abal, R. Siri, A. Romanelli, and R. Donangelo Phys. Rev. A 73 2006 042302 069905(E)
58. A. Nayak, A. Vishwanath, e-Print. quant-ph/0010117.
59. D.R. Cox, and H.D. Miller The Theory of Stochastic Processes 1978 Chapman and Hall London
60. A. Romanelli Physica A 379 2007 545
61. O.G. Zabaleta, and C.M. Arizmendi Physica A 389 2010 2858
62. J.F. Nash Adv. Math. 54 1954 286
63. G. Leung, P. Knott, J. Bailey, V. Kendon, 2010. arXiv:1006.1283v1.
64. M. Annabestani, S.J. Akhtarshenas, 2009. arXiv:0910.1986v1.
65. M. Sawerwain, R. Gielerak, 2010. arXiv:1003.3779v1.
66. I. Carneiro, M. Loo, X. Xu, M. Girerd, V.M. Kendon, and P.L. Knight New J. Phys. 7 2005 56
67. K. Kraus States, Effects and Operations: Fundamental Notions of Quantum Theory 1983 Springer-Verlag Berlin