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arXiv:1011.6451quant-ph

Informational derivation of Quantum Theory

G. Chiribella, G. M. D'Ariano, P. Perinotti

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.

arXiv comments
47 pages, published version + table of contents
Journal reference
Phys. Rev. A 84, 012311 (2011)
DOI
doi:10.1103/PhysRevA.84.012311
Subjects
quant-phQuantum Physics math-phMathematical Physics

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  1. Physicists take a key step in correcting quantum computer errors 1 comment

    • Unlike perpetual motion or free energy, the math and physics behind quantum computing is rock solid - the possibility is baked into the framework of quantum mechanics at an absolutely fundamental level. Even if it turned out that all of quantum field theory was completely bogus…

      ceviView on HNParent context

  2. Fundamental theories of nature aren’t allowed to hide information 1 comment

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