Partial separability/entanglement violates distributive rules

2019/11/15 by Han, Kyung Hoon, Kye, Seung-Hyeok, Szalay, Szilárd
#FOS: Physical sciences #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.1911.06496

Abstract

We found three qubit Greenberger-Horne-Zeilinger diagonal states which tells us that the partial separability of three qubit states violates the distributive rules with respect to the two operations of convex sum and intersection. The gaps between the convex sets involving the distributive rules are of nonzero volume.

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