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arXiv · 1603.01012

Uniform Entanglement Frames

Yunlong Xiao·Naihuan Jing·Xianqing Li-Jost·Shao-Ming Fei
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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 able to detect the $k$-separable states more accurately.

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Yunlong Xiao, Naihuan Jing, Xianqing Li-Jost, Shao-Ming Fei. 2016-03-03. Uniform Entanglement Frames. https://doi.org/10.1007/s10773-016-2976-0

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