Pictures of complete positivity in arbitrary dimension

Bob Coecke
(University of Oxford)
Chris Heunen
(University of Oxford)

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.

In Bart Jacobs, Peter Selinger and Bas Spitters: Proceedings 8th International Workshop on Quantum Physics and Logic (QPL 2011), Nijmegen, Netherlands, October 27-29, 2011, Electronic Proceedings in Theoretical Computer Science 95, pp. 27–35.
Published: 1st October 2012.

ArXived at: http://dx.doi.org/10.4204/EPTCS.95.4 bibtex PDF
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