Emergent Mind
Dilation of states and processes in operational-probabilistic theories
(1412.8539)
Published Dec 30, 2014
in
quant-ph
and
cs.LO
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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