Entanglement Detection via Direct-Sum Majorization Uncertainty Relations

Kun Wang; Nan Wu; Fangmin Song

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arXiv · 1807.02236

Entanglement Detection via Direct-Sum Majorization Uncertainty Relations

Kun Wang·Nan Wu·Fangmin Song

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Abstract

In this paper we investigate the relationship between direct-sum majorization formulation of uncertainty relations and entanglement, for the case of two and many observables. Our primary results are entanglement detection methods based on direct-sum majorization uncertainty relations. These nonlinear detectors provide a set of necessary conditions for detecting entanglement whose number grows with the dimension of the state being detected.

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Kun Wang, Nan Wu, Fangmin Song. 2018-07-06. Entanglement Detection via Direct-Sum Majorization Uncertainty Relations. https://arxiv.org/abs/1807.02236

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