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General probabilistic theories: An introduction
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We introduce the framework of general probabilistic theories (GPTs for short). GPTs are a class of operational theories that generalize both finite-dimensional classical and quantum theory, but they also include other, more exotic theories, such as the boxworld theory containing Popescu-Rohrlich boxes. We provide in-depth explanations of the basic concepts and elements of the framework of GPTs, and we also prove several well-known results. The review is self-contained and it is meant to provide the reader with consistent introduction to GPTs. Our tools mainly include convex geometry, but we also introduce diagrammatic notation and we often express equations via diagrams.
Forward citations
Cited by 2 Pith papers
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Almost all pure entangled states enable unbounded nonlocality sharing
Almost all pure entangled states, assisted by a small local ancilla, enable unbounded two-sided CHSH nonlocality sharing with only projective measurements via Hardy’s paradox.
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Generalized Probability Theory: notes for a short course
An expert survey presenting GPTs as generalized probability theory through Foulis-Randall test spaces and their linearized ordered-vector-space form.
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