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Open Quantum Systems Decoherence
A 2-Categorical Analysis of Complementary Families, Quantum Key Distribution and the Mean King Problem
arXiv
Authors: Krzysztof Bar, Jamie Vicary
Year
2014
Paper ID
45640
Status
Preprint
Abstract Read
~2 min
Abstract Words
57
Citations
N/A
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.
Why This Paper Matters
- This paper contributes to the Open Quantum Systems & Decoherence research area in the Quantum Articles archive.
- It adds a 2014 reference point for readers tracking recent quantum research.
- This paper explores the use of 2-categorical technology for describing and reasoning about complex quantum procedures.
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