Chen / Church / Englert Quantum Computing Devices

Principles, Designs, and Analysis
Erscheinungsjahr 2010
ISBN: 978-1-4200-1177-7
Verlag: Taylor & Francis
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 560 Seiten

Reihe: Chapman & Hall/CRC Applied Mathematics & Nonlinear Science

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.

Zielgruppe

Physicists, chemists, electrical engineers, applied mathematicians, and computer scientists in quantum computing research

Autoren/Hrsg.

Chen, Goong

Church, David A.

Englert, Berthold-Georg

Henkel, Carsten

Rohwedder, Bernd

Scully, Marlan O.

Zubairy, M. Suhail

Fachgebiete

• Mathematik | Informatik EDV | Informatik Informatik

Inhaltsverzeichnis

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)