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arXiv · 1110.3055

Pictures of complete positivity in arbitrary dimension

Bob Coecke·Chris Heunen
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Abstract

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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Bob Coecke, Chris Heunen. 2011-10-13. Pictures of complete positivity in arbitrary dimension. https://doi.org/10.1016/j.ic.2016.02.007

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