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- W4289887277 abstract "We consider a range of theories that violate the uncertainty relation for anti-commuting observables derived in [JMP, 49, 062105 (2008)]. We first show that Tsirelson's bound for the CHSH inequality can be derived from this uncertainty relation, and that relaxing this relation allows for non-local correlations that are stronger than what can be obtained in quantum mechanics. We continue to construct a hierarchy of related non-signaling theories, and show that on one hand they admit superstrong random access encodings and exponential savings for a particular communication problem, while on the other hand it becomes much harder in these theories to learn a state. We show that the existence of these effects stems from the absence of certain constraints on the expectation values of commuting measurements from our non-signaling theories that are present in quantum theory." @default.
- W4289887277 created "2022-08-05" @default.
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- W4289887277 date "2008-11-23" @default.
- W4289887277 modified "2023-09-23" @default.
- W4289887277 title "Relaxed uncertainty relations and information processing" @default.
- W4289887277 doi "https://doi.org/10.48550/arxiv.0811.3771" @default.
- W4289887277 hasPublicationYear "2008" @default.
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