Eur. Phys. J. D 60, 397-403 (2010)
https://doi.org/10.1140/epjd/e2010-00189-1

Entanglement dynamics of three-qubit states in noisy channels

¹ Max-Planck-Institut für Kernphysik, Postfach 103980, 69029 Heidelberg, Germany
² Physikalisches Institut, Heidelberg Universität, 69120 Heidelberg, Germany
³ Department of Physical Sciences, P.O. Box 3000, University of Oulu, 90014 Oulu, Finland
⁴ GSI Helmholtzzentrum für Schwerionenforschung, 64291 Darmstadt, Germany

Corresponding author: ^a siomau@physi.uni-heidelberg.de

Received: 12 April 2010
Revised: 14 June 2010
Published online: 27 July 2010

Abstract

We study entanglement dynamics of the three-qubit system which is initially prepared in pure Greenberger-Horne-Zeilinger (GHZ) or W state and transmitted through one of the Pauli channels , , or the depolarizing channel. With the help of the lower bound for three-qubit concurrence we show that the W state preserves more entanglement than the GHZ state in transmission through the Pauli channel . For the Pauli channels , and the depolarizing channel, however, the entanglement of the GHZ state is more resistant against decoherence than the W-type entanglement. We also briefly discuss how the accuracy of the lower bound approximation depends on the rank of the density matrix under consideration.