Quantum Measurement and Control

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Edition: 1st
Format: Hardcover
Pub. Date: 2009-12-14
Publisher(s): Cambridge University Press
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Summary

The control of individual quantum systems promises a new technology for the 21st century - quantum technology. This book is the first comprehensive treatment of modern quantum measurement and measurement-based quantum control, which are vital elements for realizing quantum technology. Readers are introduced to key experiments and technologies through dozens of recent experiments in cavity QED, quantum optics, mesoscopic electronics, and trapped particles several of which are analyzed in detail. Nearly 300 exercises help build understanding, and prepare readers for research in these exciting areas. This important book will interest graduate students and researchers in quantum information, quantum metrology, quantum control and related fields. Novel topics covered include adaptive measurement; realistic detector models; mesoscopic current detection; Markovian, state-based and optimal feedback; and applications to quantum information processing.

Author Biography

Howard M. Wiseman is Director of the centre for Quantum Dynamics at Griffith University, Australia. He has worked in quantum measurement and control theory since 1992, and is a Fellow of the Australian Academy of science (AAS). He has received the Bragg Medal of the Australian institute of physics, the Pawsey Medal of the AAS and the Malcolm Macintosh Medal of the Federal science Ministry. Gerard J. Milburn is an Australian Research council Federation Fellow at the University of Queensland, Australia. He has written three previous books, on quantum optics, quantum technology and quantum computing. He has been awarded the Boas Medal of the Australian institute of physics and is a Fellow of the Australian Academy of science and the American Physical Society.

Table of Contents

Prefacep. xi
Quantum measurement theoryp. 1
Classical measurement theoryp. 1
Quantum measurement theoryp. 8
Representing outcomes as operatorsp. 27
Most general formulation of quantum measurementsp. 32
Measuring a single photonp. 42
Further readingp. 49
Quantum parameter estimationp. 51
Quantum limits to parameter estimationp. 51
Optimality using Fisher informationp. 54
Examples of BC-optimal parameter estimationp. 62
Interferometry-other optimality conditionsp. 68
Interferometry-adaptive parameter estimationp. 76
Experimental results for adaptive phase estimationp. 83
Quantum state discriminationp. 85
Further readingp. 94
Open quantum systemsp. 97
Introductionp. 97
The Born-Markov master equationp. 99
The radiative-damping master equationp. 102
Irreversibility without the rotating-wave approximationp. 109
Ferrnionic reservoirsp. 113
The Lindblad form and positivityp. 119
Decohereiice and the pointer basisp. 121
Preferred en semblesp. 124
Decoherence in a quantum optical systemp. 130
Other examples of decoherencep. 136
Heisenberg-picture dynamicsp. 141
Further readingp. 146
Quantum trajectoriesp. 148
Introductionp. 148
Quantum jumpsp. 149
Photodetectionp. 154
Homodyne detectionp. 157
Heterodyne detection and beyondp. 166
Illustration on the Bloch spherep. 172
Monitoring in the Heisenberg picturep. 181
Imperfect detectionp. 190
Continuous measurement in mesoscopic electronicsp. 201
Further readingp. 215
Quantum feedback controlp. 216
Introductionp. 216
Feedback with optical beams using linear opticsp. 217
Feedback with optical beams using nonlinear opticsp. 231
Feedback control of a monitored systemp. 237
Homodyne-mediated feedback controlp. 246
Markovian feedback in a linear systemp. 251
Deterministic spin-squeezingp. 259
Further readingp. 265
State-based quantum feedback controlp. 269
Introductionp. 269
Freezing a conditional statep. 270
General classical systemsp. 278
Linear classical systemsp. 283
General quantum systemsp. 308
Linear quantum systemsp. 312
Further readingp. 337
Applications to quantum information processingp. 341
Introductionp. 341
Quantum teleportation of a qubitp. 343
Quantum teleportation for continuous variablesp. 347
Errors and error correctionp. 353
Feedback to correct continuously detected errorsp. 362
QEC using continuous feedbackp. 368
Continuous QEC without measurementp. 375
Linear optical quantum computationp. 379
Adaptive phase measurement and single-rail LOQCp. 390
Further readingp. 395
Quantum mechanics and phase-spacep. 398
Fundamentals of quantum mechanicsp. 398
Multipartite systems and entanglementp. 404
Position and momentump. 407
The harmonic oscillatorp. 410
Quasiprobability distributionsp. 414
Stochastic differential equationsp. 418
Gaussian white noisep. 418
Ito stochastic differential calculusp. 420
The Itô-Stratonovich relationp. 422
Solutions to SDEsp. 423
The connection to the Fokker-Planck equationp. 424
More general noisep. 425
Referencesp. 430
Indexp. 449
Table of Contents provided by Ingram. All Rights Reserved.

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