For four- and five-partite GHZ states, Svetlichny-based self-testing certifies fidelity > 1/2 for any violation above the local bound, whereas MABK-based self-testing needs a violation that grows with party number.
Gisin, Bell inequalities: many questions, a few answers (2007), arXiv:quant-ph/0702021 [quant-ph]
3 Pith papers cite this work. Polarity classification is still indexing.
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abstract
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.
fields
quant-ph 3years
2026 3representative citing papers
Channels breaking EBI contextuality break CHSH nonlocality but the reverse fails; depolarizing channels breaking N-wise incompatibility break a generalized contextuality witness.
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.
citing papers explorer
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Probing the robustness of various self-testing protocols for multipartite entangled states
For four- and five-partite GHZ states, Svetlichny-based self-testing certifies fidelity > 1/2 for any violation above the local bound, whereas MABK-based self-testing needs a violation that grows with party number.
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Connection between the contextuality breaking and incompatibility breaking qubit channels
Channels breaking EBI contextuality break CHSH nonlocality but the reverse fails; depolarizing channels breaking N-wise incompatibility break a generalized contextuality witness.
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Systematic derivation of Tsirelson bounds in arbitrary dimensions
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.