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Entanglement Detection via Direct-Sum Majorization Uncertainty Relations (1807.02236v1)

Published 6 Jul 2018 in quant-ph

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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