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Bell inequalities: many questions, a few answers

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arxiv quant-ph/0702021 v2 pith:5CIJBIC5 submitted 2007-02-02 quant-ph

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keywords inequalitiesbellnonlocalityquestionsabneranswersbinarycategories
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What can be more fascinating than {\it experimental metaphysics}, to quote one of Abner Shimony's enlightening expressions? Bell inequalities are at the heart of the study of nonlocality. I present a list of open questions, organised in three categories: fundamental; linked to experiments; and exploring nonlocality as a resource. New families of inequalities for binary outcomes are presented.

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Cited by 4 Pith papers

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

  1. Analytic Qubit Separation between POVMs and Projective Measurements

    quant-ph 2026-08 conditional novelty 8.0 of 10

    First fully analytic Bell-functional separation between qubit POVMs and all qubit-projective strategies over arbitrary two-qubit states, plus an exact dimension-unrestricted optimality certificate.

  2. Probing the robustness of various self-testing protocols for multipartite entangled states

    quant-ph 2026-05 unverdicted novelty 7.0 of 10

    The Svetlichny Bell operator yields stronger lower bounds on GHZ-state fidelity than the MABK operator under noisy statistics.

  3. Systematic derivation of Tsirelson bounds in arbitrary dimensions

    quant-ph 2026-06 unverdicted novelty 5.0 of 10

    A sum-of-squares decomposition method systematically derives Tsirelson bounds for high-dimensional quantum systems and recovers known results for qubits and qudits while finding novel bounds.

  4. Revealing hidden nonlocality and preparation contextuality for an arbitrary input Bell inequality

    quant-ph 2025-04 conditional novelty 5.0 of 10

    For n-bit parity oblivious random access codes, local filtering reveals nonlocality for any nonzero noise level when n≥6, and preparation contextuality when n≥4.

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