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Dilation of states and processes in operational-probabilistic theories (1412.8539v1)
Published 30 Dec 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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