Uniform Entanglement Frames

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

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Submission date: 11. Feb. 2016
Pages: 12
published in: International journal of theoretical physics, 55 (2016) 8, p. 3492-3505 
DOI number (of the published article): 10.1007/s10773-016-2976-0
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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 suitable to detect the k-separable states more accurately.