Eur. Phys. J. D 41, 425-432 (2007)
DOI: 10.1140/epjd/e2006-00246-4

Entanglement dynamics under decoherence: from qubits to qudits

A.R.R. Carvalho^{1, 2}, F. Mintert^{1, 3}, S. Palzer¹ and A. Buchleitner<sup>1

1</sup>  Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Strasse 38, 01187 Dresden, Germany
²  Department of Physics, Faculty of Science, The Australian National University, ACT 0200, Australia
³  Department of Physics, Harvard University, Cambridge, MA 02138, USA

andre.carvalho@anu.edu.au

(Received 21 August 2006 / Received in final form 10 October 2006 / Published online 15 November 2006)

Abstract
We investigate the time evolution of entanglement for bipartite systems of arbitrary dimensions under the influence of decoherence. For qubits, we determine the precise entanglement decay rates under different system-environment couplings, including finite temperature effects. For qudits, we show how to obtain upper bounds for the decay rates and also present exact solutions for various classes of states.

PACS
03.67.-a - Quantum information.
03.67.Mn - Entanglement production, characterization, and manipulation.
03.65.Yz - Decoherence; open systems; quantum statistical methods.
QICS
02.40.+d - Interaction with environment and decoherence.
03.40.+t - Thermal/mixed state entanglement.
03.10.+m - Entanglement measures.

© EDP Sciences, Società Italiana di Fisica, Springer-Verlag 2006

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