Mixed quantum states in higher categories
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.
- Publication:
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arXiv e-prints
- Pub Date:
- May 2014
- DOI:
- 10.48550/arXiv.1405.1463
- arXiv:
- arXiv:1405.1463
- Bibcode:
- 2014arXiv1405.1463H
- Keywords:
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- Quantum Physics;
- Computer Science - Logic in Computer Science
- E-Print:
- In Proceedings QPL 2014, arXiv:1412.8102