Unexpected consequences of Post-Quantum theories in the graph-theoretical approach to correlations

• URL: http://arxiv.org/abs/2411.09036v1
• Date: Wed, 13 Nov 2024 21:29:13 GMT
• Title: Unexpected consequences of Post-Quantum theories in the graph-theoretical approach to correlations
• Authors: José Nogueira, Carlos Vieira, Marcelo Terra Cunha,
• Abstract summary: This work explores the implications of the Exclusivity Principle (EP) in the context of quantum and post-quantum correlations. We first establish a key technical result demonstrating that given the set of correlations for a complementary experiment, the EP restricts the maximum set of correlations for the original experiment to the anti-blocking set. Based on it, we can prove our central result: if all quantum behaviors are accessible in Nature, the EP guarantees that no post-quantum behaviors can be realized.
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• Abstract: This work explores the implications of the Exclusivity Principle (EP) in the context of quantum and post-quantum correlations. We first establish a key technical result demonstrating that given the set of correlations for a complementary experiment, the EP restricts the maximum set of correlations for the original experiment to the anti-blocking set. Based on it, we can prove our central result: if all quantum behaviors are accessible in Nature, the EP guarantees that no post-quantum behaviors can be realized. This can be seen as a generalization of the result of [Phys. Rev. A 89, 030101(R)], to a wider range of scenarios. It also provides novel insights into the structure of quantum correlations and their limitations.

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