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.
Xu, Quantifying the imaginarity of quantum states via tsallis relative entropy, Physics Letters A528, 130024 (2024)
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In U(1)-symmetric random circuits, initial states with lower stabilizer Rényi entropy generate nonstabilizerness faster than those with higher entropy, with the effect also depending on spatial charge structure and extending to SU(2) circuits and Hamiltonian dynamics.
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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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Nonstabilizerness Mpemba Effects
In U(1)-symmetric random circuits, initial states with lower stabilizer Rényi entropy generate nonstabilizerness faster than those with higher entropy, with the effect also depending on spatial charge structure and extending to SU(2) circuits and Hamiltonian dynamics.