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arXiv · 1412.8539

Dilation of states and processes in operational-probabilistic theories

Giulio Chiribella
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Abstract

This paper provides a concise summary of the framework of operational-probabilistic theories, aimed at emphasizing the interaction between category-theoretic and probabilistic structures. Within this framework, we review an operational version of the GNS construction, expressed by the so-called purification principle, which under mild hypotheses leads to an operational version of Stinespring's theorem.

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Giulio Chiribella. 2014-12-30. Dilation of states and processes in operational-probabilistic theories. https://doi.org/10.4204/eptcs.172.1

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