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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
55/2018

Improved separability criteria via some classes of measurements

Shu-Qian Shen, Ming Li, Xianqing Li-Jost and Shao-Ming Fei

Abstract

The entanglement detection via local measurements can be experimentally implemented. Based on mutually unbiased measurements and general symmetric informationally complete positive-operator-valued measures, we present separability criteria for bipartite quantum states, which, by theoretical analysis, are stronger than the related existing criteria via these measurements. A detailed example is presented to show that the separability criteria can be more efficient than some well-known criteria such as positive partial transpose (Peres-Horodecki) criteria, realignment (computable cross norm) criteria, the criteria based on the realignment of $\rho-\rho^A\otimes \rho^B$, the criteria based on Bloch representations and some evaluated covariance matrix criteria.

Received:
Jul 17, 2018
Published:
Jul 18, 2018

Related publications

inJournal
2018 Repository Open Access
Shu-Qian Shen, Ming Li, Xianqing Li-Jost and Shao-Ming Fei

Improved separability criteria via some classes of measurements

In: Quantum information processing, 17 (2018) 5, p. 111