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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.
