A 2-Categorical Analysis of Complementary Families, Quantum Key Distribution and the Mean King Problem
arXiv:1412.8548 · doi:10.4204/EPTCS.172.23
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.
In Proceedings QPL 2014, arXiv:1412.8102