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Title: Generalized mutual information and Tsirelson's bound

We introduce a generalization of the quantum mutual information between a classical system and a quantum system into the mutual information between a classical system and a system described by general probabilistic theories. We apply this generalized mutual information (GMI) to a derivation of Tsirelson's bound from information causality, and prove that Tsirelson's bound can be derived from the chain rule of the GMI. By using the GMI, we formulate the 'no-supersignalling condition' (NSS), that the assistance of correlations does not enhance the capability of classical communication. We prove that NSS is never violated in any no-signalling theory.
Authors:
 [1] ;  [2]
  1. Department of Physics, Graduate School of Science, The University of Tokyo, Tokyo 113-0033 (Japan)
  2. Institute for Nano Quantum Information Electronics, The University of Tokyo, Tokyo 113-0033, Japan and Department of Physics, Graduate School of Science, The University of Tokyo, Tokyo 113-0033 (Japan)
Publication Date:
OSTI Identifier:
22390716
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1633; Journal Issue: 1; Conference: 11. International Conference on Quantum Communication, Measurement and Computation, Vienna (Austria), 30 Jul - 3 Aug 2012; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; CAUSALITY; CORRELATIONS; DATA TRANSMISSION; PROBABILISTIC ESTIMATION; QUANTUM MECHANICS; QUANTUM SYSTEMS