Five orthogonal three-qubit states exhibit strong nonlocality if and only if they contain imaginary components, forming the smallest unextendible biseparable basis of cardinality d² + d - 1 while spanning a locally indistinguishable subspace whose complement yields distillable genuine entanglement.
Dilution of Entangle- ment: Unveiling Quantum State Discrimination Advantages,
3 Pith papers cite this work. Polarity classification is still indexing.
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Orthogonal quantum state sets that are LOCC-distinguishable can be LOCC-transformed into incompletable sets, proving activation of incompletability implies activation of nonlocality but not conversely.
Complete locally distinguishable orthogonal product bases remain distinguishable under orthogonality-preserving LOCC, showing that incompleteness is required for activation of nonlocality without entanglement.
citing papers explorer
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Strong nonlocality with more imaginarity and less entanglement
Five orthogonal three-qubit states exhibit strong nonlocality if and only if they contain imaginary components, forming the smallest unextendible biseparable basis of cardinality d² + d - 1 while spanning a locally indistinguishable subspace whose complement yields distillable genuine entanglement.
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Hierarchy of hidden nonlocality: A genuine activation of Incompletability
Orthogonal quantum state sets that are LOCC-distinguishable can be LOCC-transformed into incompletable sets, proving activation of incompletability implies activation of nonlocality but not conversely.
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Incompleteness is necessary for activation of nonlocality without entanglement
Complete locally distinguishable orthogonal product bases remain distinguishable under orthogonality-preserving LOCC, showing that incompleteness is required for activation of nonlocality without entanglement.