Mixed quantum states in higher categories
Quantum Physics
2014-12-31 v2 Logic in Computer Science
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.
Cite
@article{arxiv.1405.1463,
title = {Mixed quantum states in higher categories},
author = {Chris Heunen and Jamie Vicary and Linde Wester},
journal= {arXiv preprint arXiv:1405.1463},
year = {2014}
}
Comments
In Proceedings QPL 2014, arXiv:1412.8102