Dilation of states and processes in operational-probabilistic theories
Quantum Physics
2014-12-31 v1 Logic in Computer Science
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.
Keywords
Cite
@article{arxiv.1412.8539,
title = {Dilation of states and processes in operational-probabilistic theories},
author = {Giulio Chiribella},
journal= {arXiv preprint arXiv:1412.8539},
year = {2014}
}
Comments
In Proceedings QPL 2014, arXiv:1412.8102