Nonlocality transitivity exists for quantum states, shown by explicit constructions using Bell-inequality tensoring and occurring in Haar-random three-qutrit states.
Monogamy of Bell correlations and Tsirelson's bound
3 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
abstract
We consider three parties, A, B, and C, each performing one of two local measurements on a shared quantum state of arbitrary dimension. We characterize the trade-off between the nonlocality of the Bell correlations observed by AB and of those observed by AC. This generalizes Tsirelson's bound on the quantum value of the CHSH inequality, the latter being recovered when C is completely uncorrelated with AB. We also discuss the trade-off between Bell violations and local expectation values of observables that anticommute with the ones used in the Bell test.
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quant-ph 3representative citing papers
The paper proves that game-optimized anti-collusion capacity equals total-variation distance to the collusive shadow, with CHSH monogamy giving exact bounds starting at the local Bell limit S12=2 and saturating at 1/(2√2).
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.
citing papers explorer
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Nonlocality of Quantum States can be Transitive
Nonlocality transitivity exists for quantum states, shown by explicit constructions using Bell-inequality tensoring and occurring in Haar-random three-qutrit states.
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Strategic Non-Shareability of Quantum Correlations
The paper proves that game-optimized anti-collusion capacity equals total-variation distance to the collusive shadow, with CHSH monogamy giving exact bounds starting at the local Bell limit S12=2 and saturating at 1/(2√2).
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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.