Quantum correlations, foundations & formalism is a research area in quantum information theory and quantum foundations that studies nonclassical statistical correlations between quantum systems and the mathematical structures underpinning them. It encompasses entanglement, Bell nonlocality, steering, and contextuality, and analyzes their characterization via correlation sets, operator algebras, tensor product structures, resource theories, and generalized probabilistic frameworks. The field investigates axiomatic reconstructions of quantum theory, relationships between different nonclassical correlations, and constraints imposed by causality, information principles, and symmetry. It also explores operational and device-independent formulations, linking foundational questions to cryptography, communication complexity, and many-body physics.
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