Pictures of complete positivity in arbitrary dimension
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classification
math.CT
quant-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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