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Title: Geometric measure of quantum entanglement for multipartite mixed states
Authors: Hu, S
Qi, LQ 
Song, Y
Zhang, G 
Keywords: Quantum entanglement
Geometric measure
Issue Date: 2014
Publisher: Institute of Software, the Chinese Academy of Sciences (ISCAS)
Source: International journal of software and informatics, 2014, v. 8, no. 3-4, p. 317-326 How to cite?
Journal: International journal of software and informatics 
Abstract: The geometric measure of quantum entanglement of a pure state, defined by its distance to the set of pure separable states, is extended to multipartite mixed states. We characterize the nearest disentangled mixed state to a given mixed state with respect to the geometric measure by means of a system of equations. The entanglement eigenvalue for a mixed state is introduced. And we show that, for a given mixed state, its nearest disentangled mixed state is associated with its entanglement eigenvalue. Two numerical examples are used to demonstrate the effectiveness of the proposed method.
ISSN: 1673-7288
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