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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
40/2020

Improved lower bounds of concurrence and convex-roof extended negativity based on Bloch representations

Ming Li, Zong Wang, Jing Wang, Shu-Qian Shen and Shao-Ming Fei

Abstract

Quantum entanglement plays significant roles in quantum information processing. Estimating quantum entanglement is an essential and difficult problem in the theory of quantum entanglement.

We study two main measures of quantum entanglement: concurrence and convex-roof extended negativity. Based on the improved separability criterion from the Bloch representation of density matrices, we derive analytical lower bounds of the concurrence and the convex-roof extended negativity for arbitrary dimensional bipartite quantum systems. We show that these bounds are better than the existing ones by detailed examples.

Received:
Mar 17, 2020
Published:
Mar 17, 2020

Related publications

inJournal
2020 Repository Open Access
Ming Li, Zong Wang, Jing Wang, Shu-Qian Shen and Shao-Ming Fei

Improved lower bounds of concurrence and convex-roof extended negativity based on Bloch representations

In: Quantum information processing, 19 (2020) 4, p. 130