Rank-1 PVMs on two qudits with a maximal-Schmidt-rank element are localizable with Schmidt number at most d exactly when they correspond to nice unitary error bases; the two-qubit case is fully classified, resolving a prior conjecture.
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Weak values of the CHSH operator obey a strict separability hierarchy at fixed pre/post overlap, so post-selected weak values can certify two-qubit entanglement even when standard CHSH tests are inconclusive.
A single N-qubit state can violate all binom(N,k) Bell inequalities for its (N-k)-partite subsystems at once, with the effect extending across multiple subsystem sizes via hyper-polygamy.
Demonstrates a task solvable with 12 qubits but requiring 62-382 classical bits of memory, yielding unconditional quantum information supremacy on a trapped-ion processor.
Necessary and sufficient conditions are derived for Clauser-Horn inequality violation in 2x3 systems, with local parameters proving essential for some mixed states.
citing papers explorer
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Localization of joint quantum measurements on $\mathbb{C}^d \otimes \mathbb{C}^d$ by entangled resources with Schmidt number at most $d$
Rank-1 PVMs on two qudits with a maximal-Schmidt-rank element are localizable with Schmidt number at most d exactly when they correspond to nice unitary error bases; the two-qubit case is fully classified, resolving a prior conjecture.
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Quantum nonlocal correlations of anomalous weak values
Weak values of the CHSH operator obey a strict separability hierarchy at fixed pre/post overlap, so post-selected weak values can certify two-qubit entanglement even when standard CHSH tests are inconclusive.
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The Richness of Bell Nonlocality: Generalized Bell Polygamy and Hyper-Polygamy
A single N-qubit state can violate all binom(N,k) Bell inequalities for its (N-k)-partite subsystems at once, with the effect extending across multiple subsystem sizes via hyper-polygamy.
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Demonstrating an unconditional separation between quantum and classical information resources
Demonstrates a task solvable with 12 qubits but requiring 62-382 classical bits of memory, yielding unconditional quantum information supremacy on a trapped-ion processor.
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Violation of Bell inequalities in $2\times3$ dimensional systems
Necessary and sufficient conditions are derived for Clauser-Horn inequality violation in 2x3 systems, with local parameters proving essential for some mixed states.