Quantum Communication and Information Technologies

By: Alexander S. Shumovsky (Editor), Valery I. Rupasov (Editor)

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Hardcover | 31 December 2003

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Remarkable recent developments in the field of quantum communications and quantum information processing include the achievement of quantum teleportation, quantum communication channels based on entangled states, and the discovery of quantum computing algorithms. The present book addresses the physical foundations of the subject, as well as the technological problems, discussing such aspects as photonics, quantum imaging, engineered entanglement in atomic and other physical systems, Bose-Einstein condensation, and decoherence. Indispensable reading for graduates and Ph.D. students in departments of physics, electrical and electronic engineering, mathematics, and computer science seeking both an orientation as well as advanced training in the field.

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Preface	p. xi
Contributing Authors	p. xiii
Introduction	p. xv
Schmidt-mode Analysis of Entanglement for Quantum Information Studies	p. 1
Introduction	p. 1
The Schmidt Theorem	p. 2
Finite Hilbert space	p. 4
Quantum Entanglement in Very Large State Spaces	p. 5
Beyond Spontaneous Emission	p. 9
Summary	p. 11
Quantum Metrology and Quantum Information Processing with Hyper-entangled Quantum States	p. 13
Introduction	p. 14
Hyperentangled State Engineering	p. 19
Quantum Metrology and Quantum Information	p. 31
Conclusion	p. 43
Optimal Manipulations with Quantum Information: Universal Quantum Machines	p. 47
Introduction	p. 47
Bell Telephone & FLASH	p. 49
No-cloning Theorem	p. 52
Universal Quantum Cloners	p. 56
No-signaling & Linearity of Quantum Mechanics	p. 59
Cloning, Signaling & POVM	p. 64
Flipping Qubits: Universal NOT Gate	p. 67
Experimental Realization of U-NOT Gate	p. 72
Conclusion	p. 78
Proof of Theorem I	p. 78
An Introduction to Quantum Imaging	p. 85
Introduction	p. 85
The Optical Parametric Amplifier and Its Spatial Quantum Properties	p. 86
Detection of Weak Amplitude or Phase Objects Beyond the Standard Quantum Limit	p. 90
Quantum Imaging with Entangled Photon Pairs	p. 90
Image Amplification by Parametric Down Conversion	p. 92
Measurement of Small Displacements	p. 95
Image Reconstruction	p. 96
Lecture notes on quantum-nondemolition measurements in optics	p. 101
Introduction	p. 101
Back-action in repeated quantum measurements	p. 103
QND measurements of photon number in a cavity	p. 105
Formal QND requirements	p. 113
QND measurements via Kerr interaction	p. 114
QND measurements of solitons in optical fibers	p. 119
Cavity Quantum Electrodynamics with Single Atoms	p. 125
Introduction	p. 125
Review of the One-Atom Maser	p. 125
Generation of Fock States in the One-Atom Maser	p. 132
Cavity Quantum Electrodynamics with Trapped Ions	p. 137
Conclusion	p. 141
Multipole Radiation in Quantum Domain	p. 145
Quantization of Multipole Radiation	p. 147
Angular Momentum of Multipole Photons	p. 151
Quantum Phase of E1 Photons	p. 157
Polarization of Multipole Photons	p. 161
Summary	p. 165
Theory of Atomic Hyperfine Structure	p. 171
Introduction	p. 171
Equation for Spin 1/2 Particle Interacting with Electromagnetic Field	p. 173
Interaction of Electron with Electric and Magnetic Fields	p. 178
Discussion	p. 189
Conclusion	p. 191
Interaction of Mesoscopic Devices with non-classical Electromagnetic Fields	p. 195
Introduction	p. 195
AC Aharonov-Bohm Phenomena	p. 197
Interaction of Josephson Devices with non-classical Microwaves	p. 202
Dual Phenomena with Vortex Condensates in Josephson Array Insulating Rings	p. 204
Discussion	p. 208
References	p. 209
Resonance Quantum Optics of Photonic Crystals	p. 211
Introduction	p. 211
Generalized Quantum Maxwell-Bloch Model	p. 214
Quantum Version of McCall-Hahn Theory	p. 221
One-particle Problem in Generalized QMB Model	p. 226
Hidden Bethe Basis for Free Polariton Field	p. 231
Exact Diagonalization of Generalized QMB Model	p. 234
SIT Pulses in Dispersive Medium	p. 237
Polarization Effects	p. 246
Photonic Crystals For Communications	p. 251
Fabrication	p. 252
Waveguide Propagation Losses	p. 254
Y-Junctions	p. 260
Dispersion	p. 262
Spectral Dispersion	p. 264
Discussion and Conclusion	p. 268
Physics and Applications of Defect Structures in Photonic Crystals	p. 273
Introduction	p. 273
Localized Coupled-Cavity Modes in Photonic Crystals	p. 275
Coupled-Cavities in 3D Photonic Crystals	p. 279
Highly Confined Photonic Crystal Waveguides	p. 286
Summary	p. 292
Coherence and Superfluidity in Atomic Gases	p. 299
Introduction	p. 299
Bose-condensed Gases of Alkali Atoms Inside Harmonic Traps	p. 301
Condensates in Optical Lattices	p. 311
Confined Fermi Gases and Boson-fermion Mixtures	p. 318
Concluding Remarks	p. 324
Different Scattering Regimes in Two-dimensional Bose-Einstein Condensates	p. 329
Introduction	p. 329
Theory	p. 331
Results and Discussion	p. 333
Summary and Concluding Remarks	p. 336
An Information-theoretic Analysis of Grover's Algorithm	p. 339
Introduction	p. 339
A General Framework for Quantum Search	p. 340
Grover's Algorithm	p. 341
Index	p. 349
Table of Contents provided by Ingram. All Rights Reserved.

Quantum Communication and Information Technologies

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Hardcover

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