Couplers for Non-Locality Swapping

Abstract

Studying generalized non-local theories brings insight to the foundations of quantum mechanics. Here we focus on non-locality swapping, the analogue of quantum entanglement swapping. In order to implement such a protocol, one needs a coupler that performs the equivalent of quantum joint measurements on generalized `box-like' states. Establishing a connection to Bell inequalities, we define consistent couplers for theories containing an arbitrary amount of non-locality, which leads us to introduce the concepts of perfect and minimal couplers. Remarkably, Tsirelson's bound for quantum non-locality naturally appears in our study.

16 pages, 3 figures

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• Information-theoretic constraints on correlations with indefinite causal order
• Covariance Decomposition as a Universal Limit on Correlations in Networks
• Towards correlation self-testing of quantum theory in the adaptive Clauser-Horne-Shimony-Holt game
• Multi-system measurements in generalized probabilistic theories and their role in information processing
• No Bipartite-Nonlocal Causal Theory Can Explain Nature's Correlations