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Abstract:

Quantum mechanics establishes a fundamental bound for the minimum evolution time between two states of a given system. Known as the quantum speed limit (QSL), it is a useful tool in the context of quantum control, where the speed of some control protocol is usually intended to be as large as possible. While QSL expressions for time-independent Hamiltonians have been well studied, the time-dependent regime has remained somewhat unexplored, albeit being usually the relevant problem to be compared with when studying systems controlled by external fields. In this paper we explore the relation between optimal times found in quantum control and the QSL bound, in the (relevant) time-dependent regime, by discussing the ubiquitous two-level Landau-Zener-type Hamiltonian. © 2013 EPLA.

Registro:

Documento: Artículo
Título:Quantum speed limit and optimal evolution time in a two-level system
Autor:Poggi, P.M.; Lombardo, F.C.; Wisniacki, D.A.
Filiación:Departamento de Física Juan José Giambiagi, Facultad de Ciencias Exactas, Naturales Ciudad Universitaria, Pabellón 1, 1428 Buenos, Aires, Argentina
Año:2013
Volumen:104
Número:4
DOI: http://dx.doi.org/10.1209/0295-5075/104/40005
Título revista:EPL
Título revista abreviado:EPL
ISSN:02955075
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02955075_v104_n4_p_Poggi

Referencias:

  • Caneva, T., (2009) Phys. Rev. Lett., 103 (24). , 10.1103/PhysRevLett.103.240501 0031-9007 240501
  • Nielsen, M.A., Chuang, I.L., (2000) Quantum Computation and Quantum Information, , Cambridge: Cambridge Univervity Press
  • Poggi, P.M., Lombardo, F.C., Wisniacki, D.A., (2013) Phys. Rev. A, 87 (2). , 10.1103/PhysRevA.87.022315 1050-2947 022315
  • Chen, X., Muga, J.G., (2010) Phys. Rev. A, 82 (5). , 10.1103/PhysRevA.82.053403 1050-2947 053403
  • D'Alessandro, D., (2008) Introduction to Quantum Control and Dynamics
  • Mandelstam, L., Tamm, I., (1945) J. Phys. U.S.S.R., 9, p. 249. , 0368-3400
  • Fleming, G.N., (1973) Nuovo. Cimento. A, 16 (2), p. 232. , 10.1007/BF02819419 0369-3546
  • Bhattacharyya, K., (1983) J. Phys. A, 16 (13), p. 2993. , 0305-4470 021
  • Pfeifer, P., (1993) Phys. Rev. Lett., 70 (22), p. 3365. , 10.1103/PhysRevLett.70.3365 0031-9007
  • Del Campo, A., Egusquiza, I.L., Plenio, M.B., Huelga, S.F., (2013) Phys. Rev. Lett., 110 (5). , 10.1103/PhysRevLett.110.050403 0031-9007 050403
  • Taddei, M.M., Escher, B.M., Davidovich, L., De Matos Filho, R.L., (2013) Phys. Rev. Lett., 110 (5). , 10.1103/PhysRevLett.110.050402 0031-9007 050402
  • Deffner, S., Lutz, E., (2013) Phys. Rev. Lett., 111 (1). , 10.1103/PhysRevLett.111.010402 0031-9007 010402
  • Margolus, N., Levitin, L.B., (1998) Physica D, 120 (1-2), p. 188. , 10.1016/S0167-2789(98)00054-2 0167-2789
  • Giovannetti, V., Lloyd, S., MacCone, L., (2013) Phys. Rev. A, 67 (5). , 10.1103/PhysRevA.67.052109 1050-2947 052109
  • Levitin, L.B., Toffoli, T., (2009) Phys. Rev. Lett., 103 (16). , 10.1103/PhysRevLett.103.160502 0031-9007 160502
  • Hegerfeldt, G., (2013); Bason, M.G., (2012) Nat. Phys., 8 (2), p. 147. , 10.1038/nphys2170 1745-2473
  • Anandan, J., Aharonov, Y., (1990) Phys. Rev. Lett., 65 (14), p. 1697. , 10.1103/PhysRevLett.65.1697 0031-9007
  • Deffner, S., Lutz, E., (2013) J. Phys. A: Math. Theor., 46. , 1751-8113 335302
  • Brody, D.C., (2003) J. Phys. A: Math. Gen., 36 (20), p. 5587. , 0305-4470 314
  • Zwierz, M., (2012) Phys. Rev. A, 86 (1). , 10.1103/PhysRevA.86.016101 1050-2947 016101
  • Brody, D.C., Hughston, L.P., (1996) Phys. Rev. Lett., 77 (14), p. 2851. , 10.1103/PhysRevLett.77.2851 0031-9007
  • Brody, D.C., Wook, D.W., (2006) J. Phys. A: Math. Gen., 39 (11), p. 167. , 0305-4470 L02
  • Carlini, A., Hosoya, A., Koike, T., Okudaira, Y., Time-optimal quantum evolution (2006) Physical Review Letters, 96 (6), p. 060503. , http://oai.aps.org/oai?verb=GetRecord&Identifier=oai:aps.org: PhysRevLett.96.060503&metadataPrefix=oai_apsmeta_2, DOI 10.1103/PhysRevLett.96.060503

Citas:

---------- APA ----------
Poggi, P.M., Lombardo, F.C. & Wisniacki, D.A. (2013) . Quantum speed limit and optimal evolution time in a two-level system. EPL, 104(4).
http://dx.doi.org/10.1209/0295-5075/104/40005
---------- CHICAGO ----------
Poggi, P.M., Lombardo, F.C., Wisniacki, D.A. "Quantum speed limit and optimal evolution time in a two-level system" . EPL 104, no. 4 (2013).
http://dx.doi.org/10.1209/0295-5075/104/40005
---------- MLA ----------
Poggi, P.M., Lombardo, F.C., Wisniacki, D.A. "Quantum speed limit and optimal evolution time in a two-level system" . EPL, vol. 104, no. 4, 2013.
http://dx.doi.org/10.1209/0295-5075/104/40005
---------- VANCOUVER ----------
Poggi, P.M., Lombardo, F.C., Wisniacki, D.A. Quantum speed limit and optimal evolution time in a two-level system. EPL. 2013;104(4).
http://dx.doi.org/10.1209/0295-5075/104/40005