Pictures of complete positivity in arbitrary dimension

Bob Coecke; Chris Heunen (University of Oxford)

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Pictures of complete positivity in arbitrary dimension

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arxiv 1110.3055 v4 pith:ITOZHMRL submitted 2011-10-13 math.CT quant-ph

Bob Coecke , Chris Heunen (University of Oxford) This is my paper · ORCID

classification math.CTquant-ph

keywords arbitrarycategorydimensionaxiomatizecategoricalcompactcompletecompletely

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Two fundamental contributions to categorical quantum mechanics are presented. First, we generalize the CP-construction, that turns any dagger compact category into one with completely positive maps, to arbitrary dimension. Second, we axiomatize when a given category is the result of this construction.

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