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Disorder in Domain Theory

Keye Martin


Domain theory is a subject that emerged as a response to natural concerns in the semantics of computation, and it involves the study of ordered sets that possess an unusual amount of mathematical structure. Disorder in Domain Theory explores the connection between domain theory and quantum information science and the concept that relates them: disorder.

About Editors

Keye Martin earned a degree in computer science from The University of New Orleans and a doctorate in mathematics from Tulane University. He went on to become a research fellow at the University of Oxford. He is currently employed as a research mathematician at the Naval Research Laboratory in Washington DC, where he founded the section on informatic phenomena: a group of mathematicians, physicists and computer scientists interested in using natural systems to process information. He spends his spare time writing, proving theorems and playing music.

Table of Contents

1 Essentials
1.1 Intuition
1.2 Domains
1.3 Measurement
1.4 The postulates of quantum mechanics
2 Majorization
2.1 The relation to domain theory
2.2 Ensembles
2.3 Local operations and classical communication
2.4 The universal limit
3 The implicative order
3.1 A continuous domain of classical states
3.2 Implication
3.3 Measures of uncertainty
3.4 Quantum searching
4 The bayesian and spectral orders
4.1 The bayesian order
4.2 The maximum entropy state
4.3 The spectral order
4.4 Qubit channels
5 Open questions


Paperback ISBN: 9780750329415

Ebook ISBN: 9781643272733

DOI: 10.1088/978-1-64327-274-0

Publisher: Morgan & Claypool Publishers


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