Search

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
19/2016

Uniform Entanglement Frames

Yunlong Xiao, Naihuan Jing, Xianqing Li-Jost and Shao-Ming Fei

Abstract

We present several criteria for genuine multipartite entanglement from universal uncertainty relations based on majorization theory. Under non-negative Schur-concave functions, the vector-type uncertainty relation generates a family of infinitely many detectors to check genuine multipartite entanglement. We also introduce the concept of $k$-separable circles via geometric distance for probability vectors, which include at most $(k-1)$-separable states.

The entanglement witness is also generalized to a universal entanglement witness which is suitable to detect the $k$-separable states more accurately.

Received:
Feb 11, 2016
Published:
Feb 12, 2016

Related publications

inJournal
2016 Repository Open Access
Yunlong Xiao, Nai-Huan Jing, Xianqing Li-Jost and Shao-Ming Fei

Uniform entanglement frames

In: International journal of theoretical physics, 55 (2016) 8, pp. 3492-3505