Generalized mutual information and Tsirelson's bound

Journal Article · Thu Dec 04 00:00:00 EST 2014 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.4903091· OSTI ID:22390716

Wakakuwa, Eyuri ^[1]; Murao, Mio ^[2]

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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)

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.

• OSTI ID: 22390716
• Journal Information: AIP Conference Proceedings, Vol. 1633, 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); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CAUSALITY
CORRELATIONS
DATA TRANSMISSION
PROBABILISTIC ESTIMATION
QUANTUM MECHANICS
QUANTUM SYSTEMS