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Quantum Computing Devices

Principles, Designs, and Analysis

Quantum Computing Devices by Goong Chen
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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)
CRC Press; September 2006
565 pages; ISBN 9781420011777
Read online, or download in secure PDF format
Title: Quantum Computing Devices
Author: Goong Chen; David A. Church; Berthold-Georg Englert; Carsten Henkel; Bernd Rohwedder; Marlan O. Scully; M. Suhail Zubairy
 
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