Genuinely nonlocal sets of three pure states exist in arbitrary N-partite systems and sets of two mixed states exist, yielding smaller strongly nonlocal examples than prior work.
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Provides a sufficient condition to construct high-dimensional genuinely entangled subspaces from UBBs with 1-distillability across bipartitions, proves LOCC indistinguishability of UBBs, and exhibits a UBB violating the strong nonlocality no-go condition.
Five orthogonal product states are classified into six bipartite and eight tripartite categories via vectors of orthogonal relations, with LOCC distinguishability proven for five of the six bipartite cases and all tripartite cases.
citing papers explorer
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Genuinely nonlocal sets with smallest cardinality
Genuinely nonlocal sets of three pure states exist in arbitrary N-partite systems and sets of two mixed states exist, yielding smaller strongly nonlocal examples than prior work.
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Genuinely entangled subspaces beyond strongly nonlocal unextendible biseparable bases
Provides a sufficient condition to construct high-dimensional genuinely entangled subspaces from UBBs with 1-distillability across bipartitions, proves LOCC indistinguishability of UBBs, and exhibits a UBB violating the strong nonlocality no-go condition.
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Local distinguishability of five orthogonal product states on bipartite and tripartite quantum systems
Five orthogonal product states are classified into six bipartite and eight tripartite categories via vectors of orthogonal relations, with LOCC distinguishability proven for five of the six bipartite cases and all tripartite cases.