Artículo

Teklemariam, G.; Fortunato, E.M.; López, C.C.; Emerson, J.; Paz, J.P.; Havel, T.F.; Cory, D.G. "Method for modeling decoherence on a quantum-information processor" (2003) Physical Review A - Atomic, Molecular, and Optical Physics. 67(6):11
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Abstract:

We develop and implement a method for modeling decoherence processes on an N-dimensional quantum system that requires only an [Formula Presented]-dimensional quantum environment and random classical fields. This model offers the advantage that it may be implemented on small quantum-information processors in order to explore the intermediate regime between semiclassical and fully quantum models. We consider in particular [Formula Presented] system-environment couplings which induce coherence (phase) damping, although the model is directly extendable to other coupling Hamiltonians. Effective, irreversible phase damping of the system is obtained by applying an additional stochastic Hamiltonian on the environment alone, periodically redressing it and thereby irreversibliy randomizing the system phase information that has leaked into the environment as a result of the coupling. This model is exactly solvable in the case of phase damping, and we use this solution to describe the model’s behavior in some limiting cases. In the limit of small stochastic phase kicks the system’s coherence decays exponentially at a rate that increases linearly with the kick frequency. In the case of strong kicks we observe an effective decoupling of the system from the environment. We present a detailed implementation of the method on a nuclear magnetic resonance quantum-information processor. © 2003 The American Physical Society.

Registro:

Documento: Artículo
Título:Method for modeling decoherence on a quantum-information processor
Autor:Teklemariam, G.; Fortunato, E.M.; López, C.C.; Emerson, J.; Paz, J.P.; Havel, T.F.; Cory, D.G.
Filiación:Department of Physics, Massachusetts Institute of Technology, Cambridge, MA, 02139, United States
Department of Nuclear Engineering, Massachusetts Institute of Technology, Cambridge, MA, 02139, United States
Departamento de Física, Juan Jose Giambiagi, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires DF, RA-1428, Argentina
Año:2003
Volumen:67
Número:6
Página de inicio:11
DOI: http://dx.doi.org/10.1103/PhysRevA.67.062316
Título revista:Physical Review A - Atomic, Molecular, and Optical Physics
Título revista abreviado:Phys Rev A
ISSN:10502947
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v67_n6_p11_Teklemariam

Referencias:

  • 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); Zurek, W.H., (1991) Phys. Today, 44, p. 36
  • 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); 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; Zurek, W.H., (1982) Phys. Rev. D, 26, p. 1862
  • Zurek, W.H., Habib, S., Paz, J.P., (1993) Phys. Rev. Lett., 70, p. 1187
  • Paz, J.P., Zurek, W.H., (1999), 82, p. 5181; Poyatos, J.E., Cirac, I., Zoller, P., (1997) Phys. Rev. Lett., 77, p. 4728
  • Carvalho, A.R.R., Milman, P., de Mattos Filho, R.L., Davidovich, L., (2001) Phys. Rev. Lett., 86, p. 4988
  • Paz, J.P., (2001) Nature (London), 412, p. 869
  • Paz, J.P., Habib, S., Zurek, W.H., (1993) Phys. Rev. D, 47, p. 488
  • Anglin, J.R., Paz, J.P., Zurek, W.H., (1997) Phys. Rev. A, 55, p. 4041
  • Palma, G.M., Suominen, K.-A., Ekert, A.K., (1996) Proc. R. Soc. London, Ser. A, 452, p. 567
  • Viola, L., Lloyd, S., (1998) Phys. Rev. A, 58, p. 2733
  • Legget, A.J., Chakravarty, S., Dorsey, A.T., Fisher, M.P.A., Garg, A., Zwerger, W., (1987) Rev. Mod. Phys., 59, p. 1
  • Knill, E., Laflamme, R., (1997) Phys. Rev. A, 55, p. 900
  • Knill, E., Laflamme, R., Viola, L., (2000) Phys. Rev. Lett., 84, p. 2525
  • Viola, L., Fortunato, E.M., Pravia, M.A., Knill, E., Laflamme, R., Cory, D.G., (2001) Science, 293, p. 2059
  • Fortunato, E.M., Viola, L., Hodges, J., Teklemariam, G., Cory, D.G., (2002) New J. Phys., 4, p. 1
  • C. Cohen-Tannoudji, J. Dupont-Roc, and G. Grynberg, Atom-Photon Interactions: Basic Processes and Applications (Wiley, New York, 1992); J. Preskill (unpublished); Schumacher, B., (1996) Phys. Rev. A, 54, p. 2614
  • K. Kraus, States, Effects and Operations: Fundamental Notions of Quantum Theory (Springer, Berlin, 1983); M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, U.K., 2000), Chap. 8; Havel, T.F., Sharf, Y., Viola, L., Cory, D.G., (2001) Phys. Lett. A, 280, p. 282
  • Somaroo, S.S., Tseng, C.H., Havel, T.F., Laflamme, R., Cory, D.G., (1999) Phys. Rev. Lett., 82, p. 5381
  • Tseng, C.H., Somaroo, S.S., Sharf, Y., Knill, E., LaFlamme, R., Havel, T.F., Cory, D.G., (2000) Phys. Rev. A, 61, p. 12302
  • Waugh, J.S., (1982) J. Magn. Reson., 50, p. 30
  • Green, H., Freeman, R., (1991) J. Magn. Reson., 93, p. 141
  • R. Freeman, Spin Choreography (Oxford University Press, Oxford, U.K., 1998)

Citas:

---------- APA ----------
Teklemariam, G., Fortunato, E.M., López, C.C., Emerson, J., Paz, J.P., Havel, T.F. & Cory, D.G. (2003) . Method for modeling decoherence on a quantum-information processor. Physical Review A - Atomic, Molecular, and Optical Physics, 67(6), 11.
http://dx.doi.org/10.1103/PhysRevA.67.062316
---------- CHICAGO ----------
Teklemariam, G., Fortunato, E.M., López, C.C., Emerson, J., Paz, J.P., Havel, T.F., et al. "Method for modeling decoherence on a quantum-information processor" . Physical Review A - Atomic, Molecular, and Optical Physics 67, no. 6 (2003) : 11.
http://dx.doi.org/10.1103/PhysRevA.67.062316
---------- MLA ----------
Teklemariam, G., Fortunato, E.M., López, C.C., Emerson, J., Paz, J.P., Havel, T.F., et al. "Method for modeling decoherence on a quantum-information processor" . Physical Review A - Atomic, Molecular, and Optical Physics, vol. 67, no. 6, 2003, pp. 11.
http://dx.doi.org/10.1103/PhysRevA.67.062316
---------- VANCOUVER ----------
Teklemariam, G., Fortunato, E.M., López, C.C., Emerson, J., Paz, J.P., Havel, T.F., et al. Method for modeling decoherence on a quantum-information processor. Phys Rev A. 2003;67(6):11.
http://dx.doi.org/10.1103/PhysRevA.67.062316