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arXiv · 1405.1463

Mixed quantum states in higher categories

Chris Heunen·Jamie Vicary·Linde Wester
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Abstract

There are two ways to describe the interaction between classical and quantum information categorically: one based on completely positive maps between Frobenius algebras, the other using symmetric monoidal 2-categories. This paper makes a first step towards combining the two. The integrated approach allows a unified description of quantum teleportation and classical encryption in a single 2-category, as well as a universal security proof applicable simultaneously to both scenarios.

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Chris Heunen, Jamie Vicary, Linde Wester. 2014-05-06. Mixed quantum states in higher categories. https://doi.org/10.4204/eptcs.172.22

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