Quantum Computing Devices

Quantum Computing Devices: Principles, Designs, and Analysis

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Features

  • Presents the principles, analysis, and design of all major types of quantum computing devices
  • Bridges theory and experiments in a cutting-edge and rapidly advancing area of science and technology in the 21st century
  • Describes two-level atoms as the fundamental quantum machine and imperfect quantum operations
  • Includes a full chapter on linear optics computing that features light manipulation and entangled photon states
  • Addresses the changing technology of ion traps, quantum dots, solid state NMR, SQUID, and neutral atom traps
  • Contains information important for interdisciplinary research, including physics, chemistry, computer science, electrical engineering, and mathematics
  • Summary

    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.

    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)

    Editorial 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

     
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