Characterising the set of deterministic quantum correlations in prepare-and-measure scenarios

• URL: http://arxiv.org/abs/2608.09667v1
• Date: Mon, 10 Aug 2026 14:42:32 GMT
• Title: Characterising the set of deterministic quantum correlations in prepare-and-measure scenarios
• Abstract summary: Correlations that do not admit a deterministic explanation are a central feature of quantum theory and a key resource for quantum information processing.<n>We consider deterministic correlations in the prepare-and-measure scenario consistent with a wide range of communication restrictions.<n>We show the usefulness of this approach and propose semidefinite programming relaxations tailored to three representative communication restrictions.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Correlations that do not admit a deterministic explanation are a central feature of quantum theory and a key resource for quantum information processing. Identifying and certifying such correlations, however, remains a fundamental challenge. In this work, we advance on this problem by considering deterministic correlations in the prepare-and-measure scenario consistent with a wide range of communication restrictions. To certify correlations incompatible with such deterministic models, we ask whether they admit a scenario in which measurement outcomes can be perfectly predicted by an adversary equipped with classical side-information. We show the usefulness of this approach and propose semidefinite programming relaxations tailored to three representative communication restrictions: fixed ensemble, bounded overlaps and restricted observables.

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