Informational derivation of Quantum Theory

2010/11/30 by G. Chiribella, G. M. D'Ariano, P. Perinotti · 2 voices · 3 citations
Mathematics · Physics and Astronomy · #math-ph #math.MP #quant-ph

paper · pdf · doi:10.1103/physreva.84.012311

published as Phys. Rev. A 84, 012311 (2011) · 47 pages, published version + table of contents

arxiv published 2010/11/30 · arxiv created 2011/07/15 · arxiv updated 2015/03/17

Abstract

Quantum theory can be derived from purely informational principles. Five elementary axioms-causality, perfect distinguishability, ideal compression, local distinguishability, and pure conditioning-define a broad class of theories of information-processing that can be regarded as a standard. One postulate-purification-singles out quantum theory within this class. The main structures of quantum theory, such as the representation of mixed states as convex combinations of perfectly distinguishable pure states, are derived directly from the principles without using the Hilbert space framework.

Cited by

• Quantum Theory, namely the pure and reversible theory of information
• The Informational Observer in Relational Quantum Mechanics
• Introduction to the book "Quantum Theory: Informational Foundations and Foils"

Discussions

• Also, I'll have a look on the recommended paper: arxiv.org/abs/1011.6451 but I'm unsure what to make of information as being in the basic ontology. It just begs the question as what that information i [bsky, 2 points, 1 comments]
• gonna plug this paper again to motivate Hilbert spaces in case you haven't looked at it haha; also arxiv.org/abs/1011.6451 which is in a similar vein [bsky, 2 points, 1 comments]

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