Semantic Techniques in Quantum Computation

by Simon Gay, Ian Mackie

Overview

The study of computational processes based on the laws of quantum mechanics has led to the discovery of new algorithms, cryptographic techniques, and communication primitives. This book explores quantum computation from the perspective of the branch of theoretical computer science known as semantics, as an alternative to the more well-known studies of algorithmics, complexity theory, and information theory. It collects chapters from leading researchers in the field, discussing the theory of quantum programming languages, logics and tools for reasoning about quantum systems, and novel approaches to the foundations of quantum mechanics. This book is suitable for graduate students and researchers in quantum information and computation, as well as those in semantics, who want to learn about a new field arising from the application of semantic techniques to quantum information and computation.

Product Details

ISBN-13:	9780521513746
Publisher:	Cambridge University Press
Publication date:	11/30/2009
Pages:	492
Product dimensions:	6.30(w) x 9.30(h) x 1.30(d)

About the Author

Simon Gay is a Senior Lecturer in the Department of Computing Science at the University of Glasgow. Prior to taking his current position, he worked as a research associate at Imperial College London, where he also earned his PhD in computer science, and as a lecturer at Royal Holloway, University of London.

Ian Mackie earned his MSc and PhD degrees in computer science at Imperial College London. He is editor-in-chief of an undergraduate textbook series and co-author of an advanced textbook on proof theory and automated deduction.

Table of Contents

1. No-cloning in categorical quantum mechanics Samson Abramsky; 2. Classical and quantum structuralism Bob Coecke, Eric Oliver Paquette, and Dusko Pavlovic; 3. Generalized proof-nets for compact categories with biproducts Ross Duncan; 4. The structure of partial isometries Peter Hines and Sam Braunstein; 5. Extended measurement calculus Vincent Danos, Elham Kashefi, Prakash Panangaden, and Simon Perdrix; 6. Abstract interpretation techniques for quantum computation Philippe Jorrand and Simon Perdrix; 7. Predicate transformer semantics of quantum programs Mingsheng Ying, Yuan Feng, Runyao Duan, and Zhengfeng Ji; 8. The quantum io monad Thorsten Altenkirch and Alexander Green; 9. Quantum lambda calculus Peter Selinger and Benoıt Valiron; 10. Temporal logics for reasoning about quantum systems Paulo Mateus, Jaime Ramos, Amılcar Sernadas, and Cristina Sernadas; 11. Specification and verification of quantum protocols Simon Gay, Rajagopal Nagarajan, and Nick Papanikolaou.

Editorial Reviews

"This is a well written and interesting research oriented book. I write"research oriented" because I could not imagine using it in class as a textbook, although some of the articles might interest some post-graduate students. But indeed this book provides a great source of information for all researchers working in the elds of logic, semantics, and quantum computation."
Kyriakos N. Sgarbas, SIGACT News

From the Publisher