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25 April 2024
 
  » arxiv » 1701.7404

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Leaks: quantum, classical, intermediate, and more
John Selby ; Bob Coecke ;
Date 25 Jan 2017
AbstractWe introduce the notion of a leak for general process theories, and identify quantum theory as a theory with minimal leakage, while classical theory has maximal leakage. We provide a construction that adjoins leaks to theories, an instance of which describes the emergence of classical theory by adjoining decoherence-leaks to quantum theory. Finally, we show that defining a notion of purity for processes in general process theories has to make reference to the leaks of that theory ---a feature missing in standard definitions--- hence, we propose a refined definition and study the resulting notion of purity for quantum, classical and intermediate theories.
Source arXiv, 1701.7404
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