Method for modeling decoherence on a quantum-information processor

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 67, Issue 6, 2003, Pages 623161-6231611

  Teklemariam, G ^a   Fortunato, E M ^b   Lopez C C ^c   Emerson, J ^b   Paz, Juan Pablo ^c,d   Havel, T F ^b   Cory, D G ^b  

^a MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

^b USA   (United States)

^c UNIVERSIDAD DE BUENOS AIRES   (Argentina)

^d LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; HAMILTONIANS; MATHEMATICAL MODELS; MATRIX ALGEBRA; RANDOM PROCESSES;

QUANTUM INFORMATION PROCESSING (QIP);

QUANTUM THEORY;

EID: 0041508957     PISSN: 10502947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (30)

1. J. von Neumann, Mathematische Grundlagen der Quantenmechanik (Springer, Berlin, 1932), Chaps. V and VI; English translation by R. T. Beyer, Mathematical Foundations of Quantum Mechanics (Princeton University Press, Princeton, 1955).
2. W. H. Zurek, Phys. Today 44, 36 (1991).
3. D. Giulini, E. Joos, C. Kiefer, J. Kupsch, I.-O. Stamatescu, and H. D. Zeh, Decoherence and the Appearance of a Classical World in Quantum Theory (Springer, Berlin, 1996).
4. J. P. Paz and W. H. Zurek, in Coherent Matter Waves, Proceeding of the Les Houches of Theoretical Physics, Session LXXII, edited by R. Kaiser, C. Westbrook, and F. David (Springer, Berlin, 2001), pp. 533-614.
5. W. H. Zurek, Phys. Rev. D 26, 1862 (1982).
6. W. H. Zurek, S. Habib, and J. P. Paz, Phys. Rev. Lett. 70, 1187 (1993).
7. J. P. Paz and W. H. Zurek, Phys. Rev. Lett. 82, 5181 (1999).
8. J. E. Poyatos, I. Cirac, and P. Zoller, Phys. Rev. Lett. 77, 4728 (1997) ; A. R. R. Carvalho, P. Milman, R. L. de Mattos Filho, and L. Davidovich, ibid. 86, 4988 (2001); J. P. Paz, Nature (London) 412, 869 (2001).
9. J. E. Poyatos, I. Cirac, and P. Zoller, Phys. Rev. Lett. 77, 4728 (1997) ; A. R. R. Carvalho, P. Milman, R. L. de Mattos Filho, and L. Davidovich, ibid. 86, 4988 (2001); J. P. Paz, Nature (London) 412, 869 (2001).
10. J. E. Poyatos, I. Cirac, and P. Zoller, Phys. Rev. Lett. 77, 4728 (1997) ; A. R. R. Carvalho, P. Milman, R. L. de Mattos Filho, and L. Davidovich, ibid. 86, 4988 (2001); J. P. Paz, Nature (London) 412, 869 (2001).
11. J. P. Paz, S. Habib, and W. H. Zurek, Phys. Rev. D 47, 488 (1993); J. R. Anglin, J. P. Paz, and W. H. Zurek, Phys. Rev. A 55, 4041 (1997).
12. J. P. Paz, S. Habib, and W. H. Zurek, Phys. Rev. D 47, 488 (1993); J. R. Anglin, J. P. Paz, and W. H. Zurek, Phys. Rev. A 55, 4041 (1997).
13. G. M. Palma, K.-A. Suominen, and A. K. Ekert, Proc. R. Soc. London, Ser. A 452, 567 (1996).
14. L. Viola and S. Lloyd, Phys. Rev. A 58, 2733 (1998).
15. A. J. Legget, S. Chakravarty, A. T. Dorsey, M. P. A. Fisher, A. Garg, and W. Zwerger, Rev. Mod. Phys. 59, 1 (1987).
16. E. Knill and R. Laflamme, Phys. Rev. A 55, 900 (1997).
17. E. Knill, R. Laflamme, and L. Viola, Phys. Rev. Lett. 84, 2525 (2000).
18. L. Viola, E. M. Fortunato, M. A. Pravia, E. Knill, R. Laflamme, and D. G. Cory, Science 293, 2059 (2001).
19. E. M. Fortunato, L. Viola, J. Hodges, G. Teklemariam, and D. G. Cory, New J. Phys. 4, 1 (2002).
20. C. Cohen-Tannoudji, J. Dupont-Roc, and G. Grynberg, Atom-Photon Interactions: Basic Processes and Applications (Wiley, New York, 1992).
21. J. Preskill (unpublished).
22. B. Schumacher, Phys. Rev. A 54, 2614 (1996).
23. K. Kraus, States, Effects and Operations: Fundamental Notions of Quantum Theory (Springer, Berlin, 1983).
24. M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, U.K., 2000), Chap. 8.
25. T. F. Havel, Y. Sharf, L. Viola, and D. G. Cory, Phys. Lett. A 280, 282 (2001).
26. S. S. Somaroo, C. H. Tseng, T. F. Havel, R. Laflamme, and D. G. Cory, Phys. Rev. Lett. 82, 5381 (1999).
27. C. H. Tseng, S. S. Somaroo, Y. Sharf, E. Knill, R. LaFlamme, T. F. Havel, and D. G. Cory, Phys. Rev. A 61, 012302 (2000).
28. J. S. Waugh, J. Magn. Reson. 50, 30 (1982).
29. H. Green and R. Freeman, J. Magn. Reson. 93, 141 (1991).
30. R. Freeman, Spin Choreography (Oxford University Press, Oxford, U.K., 1998).