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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
8/2020

Trade-off Relation among Genuine Three-qubit Nonlocalities in Four-qubit Systems

Li-Jun Zhao, Lin Chen, Yu-Min Guo, Kai Wang, Yi Shen and Shao-Ming Fei

Abstract

We study the trade-off relations satisfied by the genuine tripartite nonlocality in multipartite quantum systems. From the reduced three-qubit density matrices of the four-qubit generalized GHZ states and W states, we find that there exists a trade-off relation among the mean values of the Svetlichny operators associated with these reduced states. Namely, the genuine three-qubit nonlocalities are not independent. For four-qubit generalized GHZ states and W states, the summation of all their three-qubit maximal (squared) mean values of the Svetlichny operator has an upper bound. This bound is better than the one derived from the upper bounds of individual three-qubit mean values of the Svetlichny operator. Detailed examples are presented to illustrate the trade-off relation among the three-qubit nonlocalities.

Received:
Jan 19, 2020
Published:
Jan 19, 2020

Related publications

inJournal
2019 Repository Open Access
Li-Jun Zhao, Lin Chen, Yu-Min Guo, Kai Wang, Yi Shen and Shao-Ming Fei

Trade-off relation among genuine three-qubit nonlocalities in four-qubit systems

In: Physical review / A, 100 (2019) 5, p. 052107