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Open Quantum Systems Decoherence Quantum Simulation

Dilation of states and processes in operational-probabilistic theories

arXiv
Authors: Giulio Chiribella

Year

2014

Paper ID

45646

Status

Preprint

Abstract Read

~2 min

Abstract Words

52

Citations

N/A

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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  • This paper provides a concise summary of the framework of operational-probabilistic theories, aimed at emphasizing the interaction between category-theoretic and probabilistic...

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