Information Causality Characterizes the Set of Quantum Correlations in the Simplest Bell Scenario

• URL: http://arxiv.org/abs/2609.10508v1
• Date: Wed, 09 Sep 2026 17:44:44 GMT
• Title: Information Causality Characterizes the Set of Quantum Correlations in the Simplest Bell Scenario
• Abstract summary: Information causality was introduced as a physical principle constraining correlations in non-signaling theories.<n>We derive quantum Bell inequalities that exactly characterize the quantum correlations in the simplest bipartite Bell scenario.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Information causality (IC) was introduced as a physical principle constraining correlations in non-signaling theories. Whether it can recover the exact quantum correlation boundary, beyond Uffink's inequality, has remained an open question. Here, we combine its generalized formulation for correlated inputs with a new communication protocol to derive quantum Bell inequalities that exactly characterize the quantum correlations in the simplest bipartite Bell scenario, with two binary measurements. In particular, we derive the Tsirelson-Landau-Masanes criterion directly from IC. Thus, the generalized IC implies macroscopic locality, while we also present macroscopically local correlations that violate the generalized IC. This establishes that generalized IC is a strictly stronger principle in this scenario. Together with our earlier result that generalized IC implies a nontrivial communication complexity principle, these findings strengthen the role of information causality in explaining the limits of quantum nonlocality and provide a systematic route to deriving tighter bounds on the set of quantum correlations in more general Bell scenarios.

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