Quantum Computing Devices: Principles, Designs, and Analysis, 1st Edition (Hardback) book cover

Quantum Computing Devices

Principles, Designs, and Analysis, 1st Edition

By Goong Chen, David A. Church, Berthold-Georg Englert, Carsten Henkel, Bernd Rohwedder, Marlan O. Scully, M. Suhail Zubairy

Chapman and Hall/CRC

560 pages | 7 Color Illus. | 160 B/W Illus.

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pub: 2006-09-18
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Description

One of the first books to thoroughly examine the subject, Quantum Computing Devices: Principles, Designs, and Analysis covers the essential components in the design of a "real" quantum computer. It explores contemporary and important aspects of quantum computation, particularly focusing on the role of quantum electronic devices as quantum gates.

Largely self-contained and written in a tutorial style, this reference presents the analysis, design, and modeling of the major types of quantum computing devices: ion traps, cavity quantum electrodynamics (QED), linear optics, quantum dots, nuclear magnetic resonance (NMR), superconducting quantum interference devices (SQUID), and neutral atom traps. It begins by explaining the fundamentals and algorithms of quantum computing, followed by the operations and formalisms of quantum systems. For each electronic device, the subsequent chapters discuss physical properties, the setup of qubits, control actions that produce the quantum gates that are universal for quantum computing, relevant measurements, and decoherence properties of the systems. The book also includes tables, diagrams, and figures that illustrate various data, uses, and designs of quantum computing.

As nanoelectronics will inevitably replace microelectronics, the development of quantum information science and quantum computing technology is imperative to the future of information science and technology. Quantum Computing Devices: Principles, Designs, and Analysis helps fulfill this need by providing a comprehensive collection of the most promising devices for the future.

Reviews

"Although the book was written by seven authors, the material is linked in a coherent way . . . suitable for a graduate student or a researcher in quantum computation . . ."

– D. J. Guan, in MathSciNet, 2008

Table of Contents

Preface

FOUNDATIONS OF QUANTUM INFORMATICS

Spins: The Stern-Gerlach experiment and spin filter

EPR, Bell's inequalities, and hidden variables

The Landauer principle

QUANTUM COMPUTATION AND QUANTUM SYSTEMS

Turing machines and binary logic gates

Quantum mechanical systems

Hilbert spaces

Complex finite dimensional Hilbert Spaces

Quantum Turing machines

Universality of elementary quantum gates

Quantum algorithms

Quantum adder and multiplier

Quantum error correction codes

Lasers: a heuristic introduction

Quantum computing devices and requirements

TWO-LEVEL ATOMS AND CAVITY QED

Two-level atoms

Quantization of the electromagnetic field

Cavity QED

Cavity QED for the quantum phase gate

Quantum eraser

Quantum disentanglement eraser

IMPERFECT QUANTUM OPERATIONS

Fidelity

Density matrices

Time evolution of density matrices

Examples of master equations

Fidelity calculations

ION TRAPS

Introduction

Ion qubits

Summary of ion preparation

Coherence

Quantum gates

Large scale confined-ion quantum computer

Trap architecture and performance

Teleportation of coherent information

Experimental DFS logic gates

Quantum error correction by ion traps

Summary of ion quantum computation

QUANTUM LOGIC USING COLD, CONFINED ATOMS

Introduction

Atom trapping and detection

Atom interactions with external fields

Atom trapping

Qubits and gates

Controlled two-qubit gates

Coherence properties of atom gates

Assessment

QUANTUM DOTS QUANTUM COMPUTING GATES

Introduction

Electrons in quantum dots microcavity

Coupled electron spins

Biexciton in a single quantum dot

Conclusions

LINEAR OPTICS COMPUTERS

Classical electrodynamics - Classical computers

Quantum electrodynamics - Quantum computers

Teleportation

Summary and outlook

SUPERCONDUCTING QUANTUM COMPUTING DEVICES

Introduction

Superconductivity

More on Cooper pairs and Josephson junctions

Superconducting circuits: classical

Superconducting circuits: quantum

Quantum gates

Measurement

NMR QUANTUM COMPUTING

Nuclear magnetic resonance

Basic technology with NMR

Solid state NMR

Shor's algorithm and its experimental realization

Quantum algorithm for lattice-gas systems

Conclusion

Appendix A: The Fock-Darwin States

Appendix B: Evaluation of the exchange energy

Appendix C: Transformation of quantum states: SU(2) and SO(3)

Appendix D: The Homeomorphism from SU(2) to SO(3)

About the Series

Chapman & Hall/CRC Applied Mathematics & Nonlinear Science

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Subject Categories

BISAC Subject Codes/Headings:
MAT000000
MATHEMATICS / General
SCI040000
SCIENCE / Mathematical Physics
SCI055000
SCIENCE / Physics