Navegar

Colección

Datos Estadísticas

Artículo

Estamos trabajando para incorporar este artículo al repositorio
Consulte el artículo en la página del editor
Consulte la política de Acceso Abierto del editor

Abstract:

In this work, we study a bipartite system composed by a pair of entangled qudits under dephasing, showing how the dynamics can be decoupled into two main sectors. In one of them, the concurrence of the effective state needed to compute the geometric phase generally decays to zero at asymptotic times. Of course, an evolution restricted to this sector can occur or not, depending on the initial state. Among the possibilities, there is a maximally entangled qutrit state (MES) that undergoes a restricted evolution. In this case, instead of decaying to zero, the concurrence as well as the geometric phase signal a transition to an effective two-qubit MES at asymptotic times. Next, we obtain the analytic solution to the master equation for a general initial two-qutrit state, and identify a whole class of decoherence free states. The associated observables, evolving in the presence of the environment, are robust against decoherence regardless of the coupling constants and operating weights. Among them, we obtained all the MES states which are robust against decoherence. The enhanced stability properties around them provides a strategy to minimize the effects of the environment on fractional topological phases. © 2018 Elsevier Inc.

Registro:

Documento: Artículo
Título:Two-qudit geometric phase evolution under dephasing
Autor:Oxman, L.E.; Khoury, A.Z.; Lombardo, F.C.; Villar, P.I.
Filiación:Instituto de Física, Universidade Federal Fluminense, Niterói - RJ, 24210-346, Brazil
Departamento de Física Juan José Giambiagi, FCEyN UBA and IFIBA CONICET-UBA, Facultad de Ciencias Exactas y Naturales, Ciudad Universitaria, Pabellón I, Buenos Aires, 1428, Argentina
Palabras clave:Decoherence; Entanglement; Geometric phases; Qudits
Año:2018
Volumen:390
Página de inicio:159
Página de fin:179
DOI: http://dx.doi.org/10.1016/j.aop.2018.01.005
Título revista:Annals of Physics
Título revista abreviado:Ann. Phys.
ISSN:00034916
CODEN:APNYA
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00034916_v390_n_p159_Oxman

Referencias:

  • Pancharatnam, S., (1956) Proc. Indian Acad. Sci. A, 44, p. 247
  • Berry, M.V., (1984) Proc. R. Soc. A, 392, p. 45
  • Simon, R., Mukunda, N., (1993) Phys. Rev. Lett., 70, p. 880
  • Mukunda, N., Simon, R., (1993) Ann. Phys., 228, p. 205
  • Jones, J.A., Vedral, V., Ekert, A., Castagnoli, G., (2000) Nature, 403, p. 869
  • Faoro, L., Siewert, J., Fazio, R., (2003) Phys. Rev. Lett., 90, p. 028301
  • Sonier, J.E., (2001) Science, 292, p. 1695
  • Solinas, P., Zanardi, P., Zanghi, N., Rossi, F., (2003) Phys. Rev. B, 67, p. 121307
  • Shende, V., Bullock, S.S., Markov, I.L., (2006) IEEE Trans. Comput. AID Des., 26, pp. 1000-1010
  • Zhang, J., Vala, J., Sastry, S., Whaley, K.B., (2003) Phys. Rev. Lett., 91, p. 027903
  • Jordan, S.P., Wocjan, P., (2009) Phys. Rev. A, 80, p. 062301
  • Nielsen, M.A., Dowling, M.R., Gu, M., Doherty, A.C., (2006) Phys. Rev. A, 73, p. 062323
  • Dowling, M.R., Nielsen, M.A., (2008) Quantum Inf. Comput., 8, pp. 861-899
  • Nielsen, M.A., Dowling, M.R., Gu, M., Doherty, A.C., (2006) Science, 311, p. 1133
  • Li, B., Yu, Z.-H., Fei, S.-M., (2013) Sci. Rep., 3, p. 2594
  • Zanardi, P., Rasetti, M., (1999) Phys. Lett. A, 264, p. 94
  • Xiang-Bin, W., Keiji, M., (2001) Phys. Rev. Lett., 87, p. 097901
  • Sjöqvist, E., (2012) New J. Phys., 14, p. 103035
  • Tong, D.M., Sjöqvist, E., Kwek, L.C., Oh, C.H., (2004) Phys. Rev. Lett., 93, p. 080405
  • Tong, D.M., Sjöqvist, E., Kwek, L.C., Oh, C.H., (2005) Phys. Rev. Lett., 95, p. 249902(E)
  • Lombardo, F.C., Villar, P.I., (2006) Phys. Rev. A, 74, p. 042311
  • Lombardo, F.C., Villar, P.I., (2008) Int. J. Quantum Inf., 6, p. 707713
  • Villar, P.I., (2009) Phys. Lett. A, 373, p. 206
  • Lombardo, F.C., Villar, P.I., (2010) Phys. Rev. A, 81, p. 022115
  • Villar, P.I., Lombardo, F.C., (2011) Phys. Rev. A, 83, p. 052121
  • Milman, P., Mosseri, R., (2003) Phys. Rev. Lett., 90, p. 230403
  • Milman, P., (2006) Phys. Rev. A, 73, p. 062118
  • Johansson, M., Ericsson, M., Singh, K., Sjöqvist, E., Williamson, M.S., (2012) Phys. Rev. A, 85, p. 032112
  • Fujiwara, M., Takeoka, M., Mizuno, J., Sasaki, M., (2003) Phys. Rev. Lett., 90, p. 167906
  • Cortese, J., (2004) Phys. Rev. A, 69, p. 022302
  • Collins, D., Gisin, N., Linden, N., Massar, S., Popescu, S., (2002) Phys. Rev. Lett., 88, p. 040404
  • Ralph, T.C., Resch, K., Gilchrist, A., (2007) Phys. Rev. A, 75, p. 022313
  • Lanyon, B.P., (2008) Phys. Rev. Lett., 100, p. 060504
  • Lanyon, B.P., (2009) Nat. Phys., 5, pp. 134-140
  • Cerf, N.J., Bourennane, M., Karlsson, A., Gisin, N., (2002) Phys. Rev. Lett., 88, p. 127902
  • Song, W., Chen, L., Zhu, S.-L., (2009) Phys. Rev. A, 80, p. 012331
  • Vertesi, T., Pironio, S., Brunner, N., (2010) Phys. Rev. Lett., 104, p. 060401
  • Ivanov, P.A., Kyoseva, E.S., Vitanov, N.V., (2006) Phys. Rev. A, 74, p. 022323
  • O'Sullivan-Hale, M.N., Khan, I.A., Boyd, R.W., Howell, J.C., (2005) Phys. Rev. Lett., 94, p. 220501
  • Neves, L., Lima, G., Aguirre Gómez, J.G., Monken, C.H., Saavedra, C., Pádua, S., (2005) Phys. Rev. Lett., 94, p. 100501
  • Neeley, M., Ansmann, M., Bialczak, R.C., Hofheinz, M., Lucero, E., O'Connell, A.D., Sank, D., Martinis, J.M., (2009) Science, 325, pp. 722-725
  • Oxman, L.E., Khoury, A.Z., (2011) Phys. Rev. Lett., 106, p. 240503
  • Rungta, P., Buzek, V., Caves, C.M., Hillery, M., Milburn, G.J., (2001) Phys. Rev. A, 64, p. 042315
  • Khoury, A.Z., Oxman, L.E., (2014) Phys. Rev. A, 89, p. 032106
  • Oxman, L.E., Khoury, A.Z., (2014) Ann. Physics, 351, p. 138
  • Matoso, A.A., Sánchez-Lozano, X., Pimenta, W.M., Machado, P., Marques, B., Sciarrino, F., Oxman, L.E., Pádua, S., (2016) Phys. Rev. A, 94, p. 052305
  • Giorgi, H., (1999) Lie Algebras in Particle Physics, Frontiers in Physics
  • Breuer, H.-P., Petruccione, F., (2007) The Theory of Open Quantum Systems, , OUP Oxford
  • Wootters, W.K., (1998) Phys. Rev. Lett., 80, p. 2245
  • Paz, J.P., Zurek, W.H., (2001) Environment Induced Superselection and the Transition from Quantum to Classical in Coherent Matter Waves, Les Houches Session LXXII, EDP Sciences, pp. 533-614. , Kaiser R. Westbrook C. David F. Springer-Verlag Berlin
  • Zurek, W.H., (2003) Rev. Modern Phys., 75, p. 715
  • Weiss, U., (1999) Quantum Dissipative Systems, , World Scientific Singapore
  • Villar, P.I., Lombardo, F.C., (2015) Phys. Lett. A, 379, p. 246
  • Lombardo, F.C., Villar, P.I., (2014) Phys. Rev. A, 89, p. 012110

Citas:

---------- APA ----------
Oxman, L.E., Khoury, A.Z., Lombardo, F.C. & Villar, P.I. (2018) . Two-qudit geometric phase evolution under dephasing. Annals of Physics, 390, 159-179.
http://dx.doi.org/10.1016/j.aop.2018.01.005
---------- CHICAGO ----------
Oxman, L.E., Khoury, A.Z., Lombardo, F.C., Villar, P.I. "Two-qudit geometric phase evolution under dephasing" . Annals of Physics 390 (2018) : 159-179.
http://dx.doi.org/10.1016/j.aop.2018.01.005
---------- MLA ----------
Oxman, L.E., Khoury, A.Z., Lombardo, F.C., Villar, P.I. "Two-qudit geometric phase evolution under dephasing" . Annals of Physics, vol. 390, 2018, pp. 159-179.
http://dx.doi.org/10.1016/j.aop.2018.01.005
---------- VANCOUVER ----------
Oxman, L.E., Khoury, A.Z., Lombardo, F.C., Villar, P.I. Two-qudit geometric phase evolution under dephasing. Ann. Phys. 2018;390:159-179.
http://dx.doi.org/10.1016/j.aop.2018.01.005