Artículo

La versión final de este artículo es de uso interno. El editor solo permite incluir en el repositorio el artículo en su versión post-print. Por favor, si usted la posee enviela a
Consulte el artículo en la página del editor
Consulte la política de Acceso Abierto del editor

Abstract:

We present a quantum open-system approach to analyze the nonunitary dynamics of a superconducting qubit when it evolves under the influence of external noise. We consider the presence of longitudinal and transverse environmental fluctuations affecting the system's dynamics and model these fluctuations by defining their correlation function in time. By using a Gaussian-like noise correlation, we can study low- and high-frequency noise contribution to decoherence and implement our results in the computation of geometric phases in open quantum systems. We numerically study when the accumulated phase of a solid-state qubit can still be found close to the unitary (Berry) one. Our results can be used to explain experimental measurements of the Berry phase under high-frequency fluctuations and design experimental future setups when manipulating superconducting qubits. © 2014 American Physical Society.

Registro:

Documento: Artículo
Título:Corrections to the Berry phase in a solid-state qubit due to low-frequency noise
Autor:Lombardo, F.C.; Villar, P.I.
Filiación:Departamento de Física Juan José Giambiagi, Facultad de Ciencias Exactas y Naturales, Ciudad Universitaria, Pabellón I, 1428 Buenos Aires, Argentina
Palabras clave:Correlation function; Environmental fluctuations; High frequency HF; High-frequency noise; Low-Frequency Noise; Noise correlation; Open quantum systems; Superconducting qubits; Quantum computers; Quantum electronics; Quantum optics; Solid state physics; Superconductivity; Fruits
Año:2014
Volumen:89
Número:1
DOI: http://dx.doi.org/10.1103/PhysRevA.89.012110
Título revista:Physical Review A - Atomic, Molecular, and Optical Physics
Título revista abreviado:Phys Rev A
ISSN:10502947
CODEN:PLRAA
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v89_n1_p_Lombardo

Referencias:

  • Pancharatnam, S., (1956) Proc. Indian Acad. Sci. A, 44, p. 247
  • Berry, M.V., (1984) Proc. R. Soc. London, Ser. A, 392, p. 45. , 1364-5021 10.1098/rspa.1984.0023
  • Jones, J.A., Vedral, V., Ekert, A., Castagnoll, G., Geometric quantum computation using nuclear magnetic resonance (2000) Nature, 403 (6772), pp. 869-871. , DOI 10.1038/35002528
  • Faoro, L., Siewert, J., Fazio, R., (2003) Phys. Rev. Lett., 90, p. 028301. , PRLTAO 0031-9007 10.1103/PhysRevLett.90.028301
  • Sonier, J.E., Brewer, J.H., Kiefl, R.F., Miller, R.I., Morris, G.D., Stronach, C.E., Gardner, J.S., Heffner, R.H., Anomalous weak magnetism in superconducting YBa21Cu 3O6+x (2001) Science, 292 (5522), pp. 1692-1695. , DOI 10.1126/science.1060844
  • Solinas, P., Zanardi, P., Zanghi, N., Rossi, F., (2003) Phys. Rev. B, 67, pp. 121307R. , PRBMDO 0163-1829 10.1103/PhysRevB.67.121307
  • Zanardi, P., Rasetti, M., (1999) Phys. Lett. A, 264, p. 94. , PYLAAG 0375-9601 10.1016/S0375-9601(99)00803-8
  • Xiang-Bin, W., Keiji, M., (2001) Phys. Rev. Lett., 87, p. 097901. , PRLTAO 0031-9007 10.1103/PhysRevLett.87.097901
  • Sjöqvist, E., Tong, D.M., Mauritz Andersson, L., Hessmo, B., Johansson, M., Singh, K., (2012) New J. Phys., 14, p. 103035. , NJOPFM 1367-2630 10.1088/1367-2630/14/10/103035
  • Tong, D.M., Sjöqvist, E., Kwek, L.C., Oh, C.H., (2004) Phys. Rev. Lett., 93, p. 080405. , PRLTAO 0031-9007 10.1103/PhysRevLett.93.080405
  • Tong, D.M., Sjoqvist, E., Kwek, L.C., Oh, C.H., Erratum: Kinematic approach to the mixed state geometric phase in nonunitary evolution (Phys. Rev. Lett. (2004) 93 (080405)) (2005) Physical Review Letters, 95 (24), p. 249902. , http://oai.aps.org/oai/?verb=ListRecords&metadataPrefix= oai_apsmeta_2&set=journal:PRL:94, DOI 10.1103/PhysRevLett.95.249902
  • Carollo, A., Fuentes-Guridi, I., Santos, M.F., Vedral, V., (2003) Phys. Rev. Lett., 90, p. 160402. , PRLTAO 0031-9007 10.1103/PhysRevLett.90.160402
  • Lombardo, F.C., Villar, P.I., Geometric phases in open systems: A model to study how they are corrected by decoherence (2006) Physical Review A - Atomic, Molecular, and Optical Physics, 74 (4), p. 042311. , http://oai.aps.org/oai?verb=GetRecord&Identifier=oai:aps.org: PhysRevA.74.042311&metadataPrefix=oai_apsmeta_2, DOI 10.1103/PhysRevA.74.042311
  • Lombardo, F.C., Villar, P.I., (2008) Int. J. Quantum Inf., 6, p. 707713. , 0219-7499 10.1142/S0219749908003992
  • Paula, I., Villar, (2009) Phys. Lett. A, 373, p. 206. , PYLAAG 0375-9601 10.1016/j.physleta.2008.11.038
  • Lombardo, F.C., Villar, P.I., (2013) Phys. Rev. A, 87, p. 032338. , PLRAAN 1050-2947 10.1103/PhysRevA.87.032338
  • Cucchietti, F.M., Zhang, J.-F., Lombardo, F.C., Villar, P.I., Laflamme, R., (2010) Phys. Rev. Lett., 105, p. 240406. , PRLTAO 0031-9007 10.1103/PhysRevLett.105.240406
  • Berger, S., Pechal, M., Abdumalikov, Jr.A.A., Eichler, C., Steffen, L., Fedorov, A., Wallraff, A., Filipp, S., (2013) Phys. Rev. A, 87, p. 060303. , PLRAAN 1050-2947 10.1103/PhysRevA.87.060303
  • Leek, P.J., Fink, J.M., Blais, A., Bianchetti, R., Goppl, M., Gambetta, J.M., Schuster, D.I., Wallraff, A., (2007) Science, 318, p. 1889. , SCIEAS 0036-8075 10.1126/science.1149858
  • Soo Choi, M., (2003) J. Phys.: Condens. Matter, 15, p. 7823. , JCOMEL 0953-8984 10.1088/0953-8984/15/46/001
  • Martinis, J.M., Nam, S., Aumentado, J., Lang, K.M., Urbina, C., (2003) Phys. Rev. B, 67, p. 094510. , PRBMDO 0163-1829 10.1103/PhysRevB.67.094510
  • Paladino, E., Galperin, Y.M., Falci, G., Altshuler, B.L., , pp. arXiv13047925; Breuer, H., Petruccione, F., (2007) The Theory of Open Quantum Systems, , (Oxford University Publishing, Oxford, UK)
  • 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, pp. 533-614. , edited by R. Kaiser, C. Westbrook, and F. David, EDP Sciences (Springer Verlag, Berlin)
  • Zurek, W.H., Decoherence, einselection, and the quantum origins of the classical (2003) Reviews of Modern Physics, 75 (3), pp. 715-775. , DOI 10.1103/RevModPhys.75.715
  • Vion, D., Aassime, A., Cottet, A., Joyez, P., Pothier, H., Urbina, C., Esteve, D., Devoret, M.H., Manipulating the quantum state of an electrical circuit (2002) Science, 296 (5569), pp. 886-889. , DOI 10.1126/science.1069372
  • Benenti, G., Casati, G., Strini, G., (2004) Principles of Quantum Computation and Information, 1. , (World Scientific, Singapore)

Citas:

---------- APA ----------
Lombardo, F.C. & Villar, P.I. (2014) . Corrections to the Berry phase in a solid-state qubit due to low-frequency noise. Physical Review A - Atomic, Molecular, and Optical Physics, 89(1).
http://dx.doi.org/10.1103/PhysRevA.89.012110
---------- CHICAGO ----------
Lombardo, F.C., Villar, P.I. "Corrections to the Berry phase in a solid-state qubit due to low-frequency noise" . Physical Review A - Atomic, Molecular, and Optical Physics 89, no. 1 (2014).
http://dx.doi.org/10.1103/PhysRevA.89.012110
---------- MLA ----------
Lombardo, F.C., Villar, P.I. "Corrections to the Berry phase in a solid-state qubit due to low-frequency noise" . Physical Review A - Atomic, Molecular, and Optical Physics, vol. 89, no. 1, 2014.
http://dx.doi.org/10.1103/PhysRevA.89.012110
---------- VANCOUVER ----------
Lombardo, F.C., Villar, P.I. Corrections to the Berry phase in a solid-state qubit due to low-frequency noise. Phys Rev A. 2014;89(1).
http://dx.doi.org/10.1103/PhysRevA.89.012110