Informational derivation of Quantum Theory

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.

47 pages, published version + table of contents

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• Transforming quantum operations: quantum supermaps
• Towards Quantum Gravity: A Framework for Probabilistic Theories with Non-Fixed Causal Structure
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