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Progress in Computer Science and Applied Logic #19: An Introduction to Quantum Computing Algorithms

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Progress in Computer Science and Applied Logic #19: An Introduction to Quantum Computing Algorithms Cover

 

Synopses & Reviews

Publisher Comments:

The purpose of this monograph is to provide the mathematically literate reader with an accessible introduction to the theory of quantum computing algorithms, one component of a fascinating and rapidly developing area which involves topics from physics, mathematics, and computer science. The author briefly describes the historical context of quantum computing and provides the motivation, notation, and assumptions appropriate for quantum statics, a non-dynamical, finite dimensional model of quantum mechanics. This model is then used to define and illustrate quantum logic gates and representative subroutines required for quantum algorithms. A discussion of the basic algorithms of Simon and of Deutsch and Jozsa sets the stage for the presentation of Grover's search algorithm and Shor's factoring algorithm, key algorithms which crystallized interest in the practicality of quantum computers. A group theoretic abstraction of Shor's algorithms completes the discussion of algorithms. The last third of the book briefly elaborates the need for error-correction capabilities and then traces the theory of quantum error-correcting codes from the earliest examples to an abstract formulation in Hilbert space. This text is a good self-contained introductory resource for newcomers to the field of quantum computing algorithms, as well as a useful self-study guide for the more specialized scientist, mathematician, graduate student, or engineer. Readers interested in following the ongoing developments of quantum algorithms will benefit particularly from this presentation of the notation and basic theory. Series: Progress in Computer Science and Applied Logic, Volume 19 Contents Preface Acknowledgements 1. Quantum Statics 1.1 Context 1.2 Experimental motivation for quantum mechanics 1.3 The basic model 1.4 The basic example: spin-1/2 particles 1.5 Dirac notation 1.6 Unitary transformations 2. Basics of Quantum Computation 2.1 Qubits and tensor products 2.2 The basic strategy of quantum algorithms 2.3 Quantum gates 2.4 Quantum subroutines: addition on a quantum computer 2.5 Quantum subroutines: a teleportation circuit 3. Quantum Algorithms 3.1 Deutsch-Josza algorithm 3.2 Simon's algorithm 3.3 Grover's algorithm 3.4 Shor's algorithm: factoring N=15 3.5 Shor's algorithm: factoring N=pq 3.6 The finite Fourier transform 3.7 Eigenvalues in quantum algorithms 3.8 Group theory and quantum algorithms 4. Quantum Error-Correcting Codes 4.1 Quantum dynamics and decoherence 4.2 Error correction 4.3 Shor's nine qubit error-correcting code 4.4 A seven qubit error-correcting code 4.5 A five qubit error-correction code 4.6 Stabilizers and the five qubit code 4.7 Theoretical aspects of stabilizer codes 4.8 CSS codes 4.9 Abstract quantum error correction 4.10 Further aspects of quantum error-correcting codes Afterword References Index

Synopsis:

An excellent introductory reference to quantum computing, this book provides a solid understanding of the basics of the theory and an awareness of the broad potential applicability of quantum computation. Includes a detailed overview of the historical context of quantum computing, discusses the most recent developments, and presents interesting applications to a number of areas from encryption systems to database research.

Table of Contents

[see attached for complete TOC] Preface * Acknowledgements * 1. Quantum Statics * 2. Basics of Quantum Computation * 3. Quantum Algorithms * 4. Quantum Error-Correcting Codes * Afterword * References * Index

Product Details

ISBN:
9780817641276
Author:
Pittenger, Arthur O.
Publisher:
Birkhauser
Subject:
General
Subject:
Computer Science
Subject:
Physics
Subject:
Computer algorithms
Subject:
Quantum computers
Subject:
Math Applications in Computer Science
Subject:
APPLICATIONS OF MATHEMATICS
Subject:
Quantum physics.
Subject:
Quantum Information Technology, Spintronics
Subject:
Algorithm Analysis and Problem Complexity
Subject:
Mathematics of Computing
Subject:
Personal Computers-General
Subject:
Data processing
Copyright:
Edition Number:
1
Edition Description:
2000. Corr. 2nd
Series:
Progress in Computer Science and Applied Logic (PCS)
Series Volume:
19
Publication Date:
January 2001
Binding:
HARDCOVER
Language:
English
Illustrations:
Y
Pages:
152
Dimensions:
235 x 155 mm 900 gr

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Related Subjects

Computers and Internet » Computers Reference » General
Computers and Internet » Personal Computers » General
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Progress in Computer Science and Applied Logic #19: An Introduction to Quantum Computing Algorithms New Hardcover
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$87.75 In Stock
Product details 152 pages Birkhauser Boston - English 9780817641276 Reviews:
"Synopsis" by , An excellent introductory reference to quantum computing, this book provides a solid understanding of the basics of the theory and an awareness of the broad potential applicability of quantum computation. Includes a detailed overview of the historical context of quantum computing, discusses the most recent developments, and presents interesting applications to a number of areas from encryption systems to database research.
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