Entanglement detection and lower bound of convex-roof extension of negativity

Ming Li, Tong-Jiang Yan, and Shao-Ming Fei

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Submission date: 05. Feb. 2012
Pages: 10
published in: Journal of physics / A, 45 (2012) 3, art-no. 035301 
DOI number (of the published article): 10.1088/1751-8113/45/3/035301
with the following different title: Entanglement detection and lower bound of the convex-roof extension of the negativity
PACS-Numbers: 03.67.−a, 02.20.Hj, 03.65.−w
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Abstract:
We present a set of inequalities based on mean values of quantum mechanical observables nonlinear entanglement witnesses for bipartite quantum systems. These inequalities give rise to sufficient and necessary conditions for separability of all bipartite pure states and even some mixed states. In terms of these mean values of quantum mechanical observables a measurable lower bound of the convex-roof extension of the negativity is derived.