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

Type: Article

Publication Date: 2014-12-28

Citations: 2

DOI: https://doi.org/10.4204/eptcs.172.23

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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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  • DOAJ (DOAJ: Directory of Open Access Journals) - View
  • University of Birmingham Research Portal (University of Birmingham) - View - PDF
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