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MiS Preprint Repository

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
42/2020

Projection based lower bounds of concurrence for multipartite quantum systems

Hui Zhao, MeiMing Zhang, Shao-Ming Fei and Naihuan Jing

Abstract

We study the concurrence of arbitrary-dimensional multipartite quantum states. Analytical lower bounds of concurrence for tripartite quantum states are derived by projecting high-dimensional states to $2\otimes 2\otimes 2$ substates. The results are then generalized to arbitrary multipartite quantum systems. Furthermore, the scheme enables us obtain lower bounds of concurrence for arbitrary four-partite quantum states by projecting high-dimensional states to arbitrary given lower dimensional substates. By detailed examples we show that our results improve the existing lower bounds of concurrence.

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

Related publications

inJournal
2020 Repository Open Access
Hui Zhao, MeiMing Zhang, Shao-Ming Fei and Nai-Huan Jing

Projection based lower bounds of concurrence for multipartite quantum systems

In: International journal of theoretical physics, 59 (2020) 6, pp. 1688-1698