Michel Le Bellac
Universite de Nice, Sophia Antipolis

A Short Introduction to Quantum Information and Quantum Computation

Hardback (ISBN-13: 9780521860567 | ISBN-10: 0521860563)

Quantum information and computation is a rapidly expanding and cross-disciplinary subject. This book gives a self-contained introduction to the field for physicists, mathematicians and computer scientists who want to know more about this exciting subject. After a step-by-step introduction to the quantum bit (qubit) and its main properties, the author presents the necessary background in quantum mechanics. The core of the subject, quantum computation, is illustrated by a detailed treatment of three quantum algorithms: Deutsch, Grover and Shor. The final chapters are devoted to the physical implementation of quantum computers, including the most recent aspects, such as superconducting qubits and quantum dots, and to a short account of quantum information. Written at a level suitable for undergraduates in physical sciences, no previous knowledge of quantum mechanics is assumed, and only elementary notions of physics are required. The book includes many short exercises, with solutions available to instructors through solutions@cambridge.org.

* Gently introduces the main concepts in a progressive and accessible way ? Suitable for a broad audience, as no previous knowledge of quantum mechanics is assumed ? Contains many short exercises, with solutions available to instructors through solutions@cambridge.org

Contents

1. Introduction; 2. What is a qubit?; 3. Manipulating qubits; 4. Quantum correlations; 5. Introduction to quantum computing; 6. Physical realizations; 7. Quantum information; References; Index.


James Anderson
University of South Carolina

Automata Theory with Modern Applications

Hardback (ISBN-13: 9780521848879 | ISBN-10: 0521848873)
Paperback (ISBN-13: 9780521613248 | ISBN-10: 0521613248)

Recent applications to biomolecular science and DNA computing have created a new audience for automata theory and formal languages. This is the only introductory book to cover such applications. It begins with a clear and readily understood exposition of the fundamentals that assumes only a background in discrete mathematics. The first five chapters give a gentle but rigorous coverage of basic ideas as well as topics not found in other texts at this level, including codes, retracts and semiretracts. Chapter 6 introduces combinatorics on words and uses it to describe a visually inspired approach to languages. The final chapter explains recently-developed language theory coming from developments in bioscience and DNA computing. With over 350 exercises (for which solutions are available), many examples and illustrations, this text will make an ideal contemporary introduction for students; others, new to the field, will welcome it for self-learning.

* Especially clear and easily understood exposition of the basic principles ? Sections devoted to contemporary applications and research areas, including biomolecular science ? Lots of exercises, examples and illustrations

Contents

1. Introduction; 2. Languages and codes; 3. Automata; 4. Grammars; 5. Turing machines; 6. A visual approach to formal languages; 7. From biopolymers to formal language theory; Bibliography; Index.

D. F. Lawden

Analytical Methods of Optimization

ISBN: 0486450341
Page Count: 176
Dimensions: 5 3/8 x 8 1/2

Suitable for advanced undergraduates and graduate students, this text surveys the classical theory of the calculus of variations. It takes the approach most appropriate for applications to problems of optimizing the behavior of engineering systems; in particular, the design of the control systems and the choice of rocket trajectories to be followed by terrestrial and extraterrestrial vehicles. Topics include static systems, control systems, additional constraints, the Hamilton-Jacobi equation, and the accessory optimization problem. Emphasis throughout the text is placed upon methods and principles, which are illustrated by worked problems and sets of exercises. Solutions to the exercises are available upon request. 1975 ed.

Table of Contents

1. Static Systems
2. Control Systems
3. Additional Constraints
4. Hamilton-Jacobi Equation
5. The Accessory Optimization Problem
Bibliography
Index

Lefebvre, Mario

Applied Probability and Statistics

2006, XVI, 360 p., 58 illus., Hardcover.
ISBN: 0-387-28454-0

About this textbook

This book moves systematically through the topic of applied probability from an introductory chapter to such topics as random variables and vectors, stochastic processes, estimation, testing and regression. The topics are well chosen and the presentation is enriched by many examples from real life. Each chapter concludes with many original, solved and unsolved problems and hundreds of multiple choice questions, enabling those unfamiliar with the topics to master them. Additionally appealing are historical notes on the mathematicians mentioned throughout, and a useful bibliography. A distinguishing character of the book is its thorough and succinct handling of the varied topics.

Written for:

Table of contents
Introduction.- Elementary Probabilities.- Random Variables.- Random Vectors.- Stochastic Processes.- Estimation and Testing.- Simple Linear Regression.- Appendices: Mathematical Formulas.- Quantiles ? Sampling Distributions.- Classification of the Exercises.- Answers ? Multiple Choice Questions.- Answers to Selected Exercises.

Pham, Hoang (Ed.)

Springer Handbook of Engineering Statistics

2006, XLIV, 1120 p., 384 illus., 384 in colour, Hardcover.
ISBN: 1-85233-806-7

About this book

Engineers and practitioners contribute to society through their ability to apply basic scientific principles to real problems in an effective and efficient manner. They must collect data to test their products every day as part of the design and testing process and also after the product or process has been rolled out to monitor its effectiveness. Model building, data collection, data analysis and data interpretation form the core of sound engineering practice.

After the data has been gathered the engineer must be able to sift them and interpret them correctly so that meaning can be exposed from a mass of undifferentiated numbers or facts. To do this he or she must be familiar with the fundamental concepts of correlation, uncertainty, variability and risk in the face of uncertainty.

In todayfs global and highly competitive environment, continuous improvement in the processes and products of any field of engineering is essential for survival. Many organisations have shown that the first step to continuous improvement is to integrate the widespread use of statistics and basic data analysis into the manufacturing development process as well as into the day-to-day business decisions taken in regard to engineering processes.

The Springer Handbook of Engineering Statistics gathers together the full range of statistical techniques required by engineers from all fields to gain sensible statistical feedback on how their processes or products are functioning and to give them realistic predictions of how these could be improved.

Featuring:

Contributions from leading experts in statistics and their application to engineering from industrial control to academic medicine and financial risk management giving all-round authoritative coverage.
Wide-ranging selection of statistical techniques showing the proper way to use each to enable the reader to choose the method most appropriate for his or her purposes.
Extensive and easy-to-use subject index making information quickly available to the reader.
The handbook will be essential reading for all engineers and engineering-connected managers who are serious about keeping their methods and products at the cutting edge of quality and competitiveness.

Written for:

Libraries; practitioners involved in many branches of engineering particularly: process engineering, management and planning, modelling and simulation, reliability, bioengineering, control, safety (especially aeronautical and automotive) information system security; academics researching or lecturing in similar subjects

Contents