Quantum Detection and Estimation Theory
Inhaltsverzeichnis
1;Front Cover;1 2;Quantum Detection and Estimation Theory;4 3;Copyright Page;5 4;Contents;6 5;Preface;8 6;Acknowledgments;10 7;Chapter I. Decision and Estimation;12 8;Chapter II. Classical Detection and Estimation Theory;18 8.1;1. Hypothesis Testing;18 8.2;2. Binary Decisions;23 8.3;3. Reception of Multiple Signals;33 8.4;4. Estimation Theory;36 8.5;5. Bounds on Estimation Errors;43 9;Chapter III. Quantum Mechanics;50 9.1;1. State Vectors and Operators;50 9.2;2. Quantum Observation and Measurement;64 9.3;3. Independent Quantum Systems;85 10;Chapter IV. Quantum Hypothesis Testing;99 10.1;1. Multiple Hypotheses;99 10.2;2. Binary Decisions;117 10.3;3. The Threshold Detector;125 10.4;Appendix: Decisions Among Linearly Independent Pure States;128 11;Chapter V. Quantum Electromagnetism;130 11.1;1. Normal Modes in the Classical Theory;130 11.2;2. The Quantization of the Field;134 11.3;3. The Coherent-State Representation;139 11.4;4. The Harmonic Oscillator with Thermal Noise;144 11.5;5. Coherent-State Representations for Multiple Modes;148 11.6;6. Naimark Extension of the Coherent-State Probability-Operator Measure;152 11.7;7. Unitary Transformations of Modal Amplitudes;156 11.8;8. The External Field;160 11.9;9. The Aperture Field;163 11.10;10. The Thermal Background;168 12;Chapter VI. Detection of Coherent Light;171 12.1;1. Binary Coherent Signals;171 12.2;2. Orthogonal Signals;188 12.3;3. Other Problems in Coherent Detection;197 12.4;Appendix: The Counting Receiver for M Orthogonal Signals;204 13;Chapter VII. Detection of Incoherent Light;207 13.1;1. The Density Operator;207 13.2;2. The Optimum and Threshold Receivers;210 13.3;3. The Degrees of Freedom in the Signal;213 13.4;4. Detection of Point Sources;220 13.5;5. Detection of Extended Objects;233 13.6;6. The Resolution of Point Sources;238 14;Chapter VIII. Quantum Estimation Theory;246 14.1;1. The Bayesian Formulation;246 14.2;2. The Estimation of Displacement Parameters;254 14.3;3. The Amplitude of a Coherent Signal;
265 14.4;4. The Quantum CramerRao Inequality;277 14.5;5. Arrival Time and Carrier Frequency of a Signal;288 14.6;6. Parameters of an Incoherent Light Field;291 14.7;Appendix: Derivation of (1.48) and (1.49);303 15;Chapter IX. Epilogue;305 16;References;308 17; Index;316
