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arXiv · 1412.8548

A 2-Categorical Analysis of Complementary Families, Quantum Key Distribution and the Mean King Problem

Krzysztof Bar·Jamie Vicary
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Abstract

This paper explores the use of 2-categorical technology for describing and reasoning about complex quantum procedures. We give syntactic definitions of a family of complementary measurements, and of quantum key distribution, and show that they are equivalent. We then show abstractly that either structure gives a solution to the Mean King problem, which we also formulate 2-categorically.

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Krzysztof Bar, Jamie Vicary. 2014-12-30. A 2-Categorical Analysis of Complementary Families, Quantum Key Distribution and the Mean King Problem. https://doi.org/10.4204/eptcs.172.23

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