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Partial separability/entanglement violates distributive rules (1911.06496v2)
Published 15 Nov 2019 in quant-ph
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.