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Conservation of information and the foundations of quantum mechanics

Chiribella, Giulio and Scandolo, Carlo Maria (2015) Conservation of information and the foundations of quantum mechanics. EPJ Web of Conferences 95,(2015), 95. 03003.

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Abstract

We review a recent approach to the foundations of quantum mechanics inspired by quantum information theory. The approach is based on a general framework, which allows one to address a large class of physical theories which share basic information-theoretic features. We first illustrate two very primitive features, expressed by the axioms of causality and purity-preservation, which are satisfied by both classical and quantum theory. We then discuss the axiom of purification, which expresses a strong version of the Conservation of Information and captures the core of a vast number of protocols in quantum information. Purification is a highly non-classical feature and leads directly to the emergence of entanglement at the purely conceptual level, without any reference to the superposition principle. Supplemented by a few additional requirements, satisfied by classical and quantum theory, it provides a complete axiomatic characterization of quantum theory for finite dimensional systems.


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Item Type: Published Article or Volume
Creators:
CreatorsEmailORCID
Chiribella, Giuliogiulio@cs.hku.hk
Scandolo, Carlo Mariacarlomaria.scandolo@cs.ox.ac.uk
Keywords: Foundations of quantum theory, quantum information theory, general probabilistic theory
Subjects: Specific Sciences > Physics > Quantum Mechanics
Depositing User: Mr. Carlo Maria Scandolo
Date Deposited: 03 Feb 2016 02:02
Last Modified: 03 Feb 2016 02:02
Item ID: 11889
Journal or Publication Title: EPJ Web of Conferences 95,(2015)
DOI or Unique Handle: 10.1051/epjconf/20149503003
Subjects: Specific Sciences > Physics > Quantum Mechanics
Date: 29 May 2015
Page Range: 03003
Volume: 95
URI: http://philsci-archive.pitt.edu/id/eprint/11889

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