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This concise, accessible text provides a thorough introduction to quantum computing - an exciting emergent field at the interface of the computer, engineering, mathematical and physical sciences. Aimed at advanced undergraduate and beginning graduate students in these disciplines, the text is technically detailed and is clearly illustrated throughout with diagrams and exercises. Some prior knowledge of linear algebra is assumed, including vector spaces and inner products. However, prior familiarity with topics such as tensor products and spectral decomposition is not required, as the necessary material is reviewed in the text.
This concise, accessible text provides a thorough introduction to quantum computing - an exciting emergent field at the interface of the computer, engineering, mathematical and physical sciences. Aimed at advanced undergraduate and beginning graduate students in these disciplines, the text is technically detailed and is clearly illustrated throughout with diagrams and exercises. Some prior knowledge of linear algebra is assumed, including vector spaces and inner products. However, prior familiarity with topics such as tensor products and spectral decomposition is not required, as the necessary material is reviewed in the text.
Preface
1: Introduction and background
2: Linear algebra and the Dirac notation
3: Qubits and the framework of quantum mechanics
4: A quantum model of computation
5: Superdense coding and quantum teleportation
6: Introductory quantum algorithms
7: Algorithms with super-polynomial speed-up
8: Algorithms based on amplitude amplification
9: Quantum computational complexity theory and lower bounds
10: Quantum error correction
Appendices
Bibliography
Index
Phillip Ronald Kaye was born in Toronto, and raised in Waterloo,
Ontario, Canada. In 1995 Phil was accepted to the Faculty of
Engineering at the University of Waterloo with an entrance
scholarship. He completed his undergraduate degree in Systems
Design Engineering in 2000 and was awarded the George Dufault Medal
for Excellence in Communication at his convocation. During the
Summer months following his undergraduate convocation, Phil worked
as an encryption
software developer at Research in Motion (RIM), where he continued
to work on a part-time basis during his graduate studies. Phil did
his Master's degree in the department of Combinatorics and
Optimization
at Waterloo. His Master's thesis was entitled 'Quantum Networks for
Concentrating Entanglement, and a Logical Characterization of the
Computational Complexity Class BPP.' Phil is currently a PhD
student at the School of Computer Science at the University of
Waterloo. Raymond Laflamme completed his undergraduate studies in
Physics at Université Laval. He then moved to Cambridge, UK, where
he took Part III of the Mathematical Tripos before doing a PhD in
the Department of Applied
Mathematics and Theoretical Physics (DAMTP) under the direction of
Professor Stephen Hawking. Following posts at UBC, Cambridge and
Los Alamos National Laboratory, Raymond moved to the University of
Waterloo in
2001 as a Canada Research Chair in Quantum Information. Raymond is
a recipient of Ontario's Premier Research Award and a Director of
the Quantum Information program of the Canadian Institute for
Advanced Research. He was named the Ivey Foundation Fellow of the
Canadian Institute for Advanced Research (CIAR) in September of
2005. Michele Mosca obtained a DPhil in quantum computer algorithms
in 1999 at the University of Oxford. Since then he has been a
faculty member in Mathematics at St.
Jerome's University and in the Combinatorics and Optimization
department of the Faculty of Mathematics, University of Waterloo,
and a member of the Centre for Applied Cryptographic Research. He
holds a
Premier's Research Excellence Award (2000-2005), is the Canada
Research Chair in Quantum Computation (since January 2002), and is
a CIAR scholar (since September 2003). He is a co-founder and the
Deputy Director of the Institute for Quantum Computing, and a
founding member of the Perimeter Institute for Theoretical Physics.
The book is spiced with Try Its, brief exercises that engage the
readers in problem solving (both with and without mathematics) and
help them digest the many counter-intuitive quantum information
science and quantum computing concepts.
*MathSciNet*
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