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Phys. Rev. A 72, 032337 (2005) [5 pages]

Connection between entanglement and the speed of quantum evolution

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J. Batle1, M. Casas1, A. Plastino2, and A. R. Plastino3
1Departament de Física, Universitat de les Illes Balears and IMEDEA-CSIC, 07122 Palma de Mallorca, Spain
2National University La Plata-CONICET, C.C. 727, 1900 La Plata, Argentina
3Department of Physics, University of Pretoria, 0002 Pretoria, South Africa

See Also: Erratum

Received 1 July 2005; published 29 September 2005

It has been recently pointed out [ V. Giovannetti, S. Lloyd and L. Maccone Europhys. Lett. 62 615 (2003)] that, for certain classes of states, quantum entanglement enhances the “speed” of evolution of composite quantum systems, as measured by the time a given initial state requires to evolve to an orthogonal state. We provide here a systematic study of this effect for pure states of bipartite systems of low dimensionality, considering both distinguishable (two-qubits) subsystems, and systems constituted of two indistinguishable particles.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.72.032337
DOI:
10.1103/PhysRevA.72.032337
PACS:
03.67.Mn, 89.70.+c, 03.65.−w, 02.50.−r

See Also

Erratum: J. Batle, M. Casas, A. Plastino, and A. R. Plastino, Erratum: Connection between entanglement and the speed of quantum evolution [Phys. Rev. A 72, 032337 (2005)], Phys. Rev. A 73, 049904 (2006).

Comment: H. F. Chau, Comment on “Connection between entanglement and the speed of quantum evolution” and on “Entanglement and the lower bounds on the speed of quantum evolution”, Phys. Rev. A 82, 056301 (2010).