Related papers: General probabilistic theories: An introduction

General probabilistic theories: An introduction

URL: http://arxiv.org/abs/2103.07469v2
Date: Mon, 23 Aug 2021 10:58:09 GMT
Title: General probabilistic theories: An introduction
Authors: Martin Pl\'avala
Abstract summary: We provide in-depth explanations of the basic concepts and elements of the framework of GPTs. The review is self-contained and it is meant to provide the reader with consistent introduction to GPTs.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: 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.

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