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Quantum detection and estimation theory.
Front Cover; Quantum Detection and Estimation Theory; Copyright Page; Contents; Preface; Acknowledgments; Chapter I. Decision and Estimation; Chapter II. Classical Detection and Estimation Theory; 1. Hypothesis Testing; 2. Binary Decisions; 3. Reception of Multiple Signals; 4. Estimation Theory; 5. Bounds on Estimation Errors; Chapter III. Quantum Mechanics; 1. State Vectors and Operators; 2. Quantum Observation and Measurement; 3. Independent Quantum Systems; Chapter IV. Quantum Hypothesis Testing; 1. Multiple Hypotheses; 2. Binary Decisions; 3. The Threshold Detector
Appendix: Decisions Among Linearly Independent Pure StatesChapter V. Quantum Electromagnetism; 1. Normal Modes in the Classical Theory; 2. The Quantization of the Field; 3. The Coherent-State Representation; 4. The Harmonic Oscillator with Thermal Noise; 5. Coherent-State Representations for Multiple Modes; 6. Naimark Extension of the Coherent-State Probability-Operator Measure; 7. Unitary Transformations of Modal Amplitudes; 8. The External Field; 9. The Aperture Field; 10. The Thermal Background; Chapter VI. Detection of Coherent Light; 1. Binary Coherent Signals; 2. Orthogonal Signals
3. Other Problems in Coherent DetectionAppendix: The Counting Receiver for M Orthogonal Signals; Chapter VII. Detection of Incoherent Light; 1. The Density Operator; 2. The Optimum and Threshold Receivers; 3. The Degrees of Freedom in the Signal; 4. Detection of Point Sources; 5. Detection of Extended Objects; 6. The Resolution of Point Sources; Chapter VIII. Quantum Estimation Theory; 1. The Bayesian Formulation; 2. The Estimation of Displacement Parameters; 3. The Amplitude of a Coherent Signal; 4. The Quantum Cramer-Rao Inequality; 5. Arrival Time and Carrier Frequency of a Signal
6. Parameters of an Incoherent Light FieldAppendix: Derivation of (1.48) and (1.49); Chapter IX. Epilogue; References; Index
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Includes bibliographical references (pages 297-303) and index.
Mathematics in science and engineering ; v. 123