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arxiv: 1405.1463 · v2 · pith:RKIQDZJ4new · submitted 2014-05-06 · 🪐 quant-ph · cs.LO

Mixed quantum states in higher categories

classification 🪐 quant-ph cs.LO
keywords quantumcategoriesclassicalalgebrasallowsapplicableapproachcategorically
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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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