Conservation of information and the foundations of quantum mechanics

Citation data:

EPJ Web of Conferences, ISSN: 2100-014X, Vol: 95, Page: 03003

Publication Year:
2015
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Repository URL:
http://philsci-archive.pitt.edu/id/eprint/11889
DOI:
10.1051/epjconf/20159503003, 10.1051/epjconf/20149503003
Author(s):
Giulio Chiribella, Carlo Maria Scandolo, L. Bravina, Y. Foka, S. Kabana
Publisher(s):
EDP Sciences
Tags:
Physics and Astronomy
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article description
We review a recent approach to the foundations of quantum mechanics inspired by quantum information theory [1, 2]. 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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