Pith. sign in

REVIEW 4 cited by

Monogamy of Bell correlations and Tsirelson's bound

Not yet reviewed by Pith; the record is open.

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv quant-ph/0611001 v1 pith:LOXMEE3L submitted 2006-11-01 quant-ph

classification quant-ph
keywords bellboundcorrelationslocalobservedquantumtrade-offtsirelson
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
read the original 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.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Nonlocality of Quantum States can be Transitive

    quant-ph 2024-12 unverdicted novelty 8.0 of 10

    Nonlocality transitivity exists for quantum states, shown by explicit constructions using Bell-inequality tensoring and occurring in Haar-random three-qutrit states.

  2. Strategic Non-Shareability of Quantum Correlations

    quant-ph 2026-05 unverdicted novelty 7.0 of 10

    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).

  3. The Richness of Bell Nonlocality: Generalized Bell Polygamy and Hyper-Polygamy

    quant-ph 2025-12 conditional novelty 7.0 of 10

    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.

  4. Efficient utilization of imaginarity in quantum steering

    quant-ph 2025-08 conditional novelty 6.0 of 10

    A two-measurement steering inequality based on robustness of imaginarity detects steerable two-qubit states using only four state parameters and resists more noise than the three-measurement NAQC and NAQI criteria.

Pith tools