Semantic Techniques in Quantum Computation

Explores quantum computation from the perspective of the branch of theoretical computer science known as semantics.

Simon Gay (Edited by), Ian Mackie (Edited by)

9780521513746, Cambridge University Press

Hardback, published 30 November 2009

492 pages, 161 b/w illus. 27 tables
24.2 x 16 x 3 cm, 0.8 kg

"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

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.

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 Beno?t Valiron
10. Temporal logics for reasoning about quantum systems Paulo Mateus, Jaime Ramos, Am?lcar Sernadas, and Cristina Sernadas
11. Specification and verification of quantum protocols Simon Gay, Rajagopal Nagarajan, and Nick Papanikolaou.

Subject Areas: Mathematical theory of computation [UYA], Quantum physics [quantum mechanics & quantum field theory PHQ]