Maximally entangled correlation sets
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Publication:5148236
zbMATH Open1456.81042arXiv2006.01875MaRDI QIDQ5148236
Publication date: 1 February 2021
Abstract: We study the set of quantum correlations generated by actions on maximally entangled states. We show that such correlations are dense in their own convex hull. As a consequence, we show that these correlations are dense in the set of synchronous quantum correlations. We introduce the concept of corners of correlation sets and show that every local or nonsignalling correlation can be realized as the corner of a synchronous local or nonsignalling correlation. We provide partial results for other correlation sets.
Full work available at URL: https://arxiv.org/abs/2006.01875
Applications of operator theory in systems, signals, circuits, and control theory (47N70) Convex sets in topological vector spaces (aspects of convex geometry) (52A07) Quantum coherence, entanglement, quantum correlations (81P40) LOCC, teleportation, dense coding, remote state operations, distillation (81P48)
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