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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
62/2017

Tight upper bound for the maximal quantum value of the Svetlichny operators

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

Abstract

It is a challenging task to detect genuine multipartite nolocality (GMNL). In this paper, the problem is considered via computing the maximal quantum value of Svetlichny operators for three-qubit systems and a tight upper bound is obtained. The constrains on the quantum states for the tightness of the bound are also presented. The approach enables us to give the necessary and sufficient conditions of violating the Svetlichny inequalities (SI) for several quantum states, including the white and color noised GHZ states. The relation between the genuine multipartite entanglement concurrence and the maximal quantum value of the Svetlichny operators for mixed GHZ class states is also discussed. As the SI is useful for the investigation on GMNL, our results give an effective and operational method to detect the GMNL for three-qubit mixed states.

Received:
Aug 28, 2017
Published:
Aug 28, 2017

Related publications

inJournal
2017 Repository Open Access
Ming Li, Shu-Qian Shen, Nai-Huan Jing, Shao-Ming Fei and Xianqing Li-Jost

Tight upper bound for the maximal quantum value of the Svetlichny operators

In: Physical review / A, 96 (2017) 4, p. 042323