Information content of systems as a physical principle

Ł. Czekaj; M. Horodecki; Paweł Horodecki; R. Horodecki

doi:10.1103/physreva.95.022119

Information content of systems as a physical principle

Abstract

To explain the conceptual gap between classical and quantum and other, hypothetical descriptions of the world, several principles have been proposed. So far, all these principles have not explicitly included the uncertainty relation. Here we introduce an information content principle ( ICP ) which represents a constrained uncertainty principle. The principle, by taking into account the encoding and decoding properties of a single physical system, is capable of separation, both classicality and quanta from a number of potential physical theories, including hidden variable theories. The ICP , which is satisfied by both classical and quantum theory, states that the amount of nonredundant information which may be extracted from a given system is bounded by a perfectly decodable information content of the system. We show that ICP allows one to discriminate theories which do not allow for correlations stronger than Tsirelson’s bound. We show also how to apply the principle to composite systems, ruling out some theories despite that their elementary constituents behave quantumly.

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DOI:: Digital Object Identifier (open in new tab) 10.1103/PhysRevA.95.022119
License: Copyright (2017 American Physical Society)

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Category:: Articles
Type:: artykuł w czasopiśmie wyróżnionym w JCR
Published in:: PHYSICAL REVIEW A no. 95, pages 1 - 10,
ISSN: 2469-9926
Language:: English
Publication year:: 2017
Bibliographic description:: Czekaj Ł., Horodecki M., Horodecki P., Horodecki R.: Information content of systems as a physical principle// PHYSICAL REVIEW A. -Vol. 95, iss. 2 (2017), s.1-10
DOI:: Digital Object Identifier (open in new tab) 10.1103/physreva.95.022119
Verified by:: Gdańsk University of Technology