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| Introduction | |
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| Quantum Estimation | |
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| Quantum Tomographic Methods | |
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| Introduction | |
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| Wigner Functions | |
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| Elements of Detection Theory | |
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| General Tomographic Method | |
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| Multimode Homodyne Tomography | |
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| Maximum-Likelihood Method in Quantum Estimation | |
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| Maximum-Likelihood Methods in Quantum Mechanics | |
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| Introduction | |
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| Overview of Quantum-State Reconstruction Techniques | |
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| ML Quantum-State Estimation | |
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| Estimation Errors and Fisher Information | |
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| Estimation of Quantum Processes | |
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| Estimation of Quantum Measurements | |
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| Discrimination Between Quantum States | |
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| Qubit Quantum State Tomography | |
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| State Representation | |
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| Exact Tomography | |
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| Real Tomography: Errors and the Maximum Likelihood Technique | |
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| Error Analysis | |
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| Unknown Quantum States and Operations, a Bayesian View | |
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| Introduction | |
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| The Classical de Finetti Theorem | |
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| The Quantum de Finetti Representation | |
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| Proof of the Quantum de Finetti Theorem | |
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| Intermezzo | |
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| Subjectivity of Quantum Operations | |
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| Quantum Process Tomography | |
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| The Process-Tomography Theorem | |
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| Proof of the Process-Tomography Theorem | |
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| Concluding Remarks | |
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| Quantum Tomography from Incomplete Data via MaxEnt Principle | |
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| Modest Question | |
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| Complete Observation Level | |
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| Maxent Principle and Observation Levels | |
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| Numerical Implementation | |
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| Reconstruction of Motional States of Neutral Atoms | |
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| Direct Measurement of Wigner Functions of Single Mode Fields in Cavities | |
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| Conclusions | |
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| Experimental Quantum State Tomography of Optical Fields and Ultrafast Statistical Sampling | |
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| Introduction | |
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| Balanced Homodyne Detection of Temporal-Spatial Modes | |
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| Quantum State Reconstruction and Optical Mode Statistical Sampling | |
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| Experimental Techniques | |
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| Array Detection | |
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| Conclusions | |
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| A Spatial-Temporal Orthogonality | |
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| Characterization of Quantum Devices | |
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| Quantum Operations and Quantum Measurements | |
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| Imprinting Quantum Operations into Quantum States | |
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| Homodyne Tomography of Channels and POVM's | |
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| Quantum Operations on Qubits and Their Characterization | |
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| Introduction | |
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| Quantum-Injected Optical Parametric Amplification | |
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| Realization of an "All Optical" Schr�dinger-Cat | |
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| Universal Optimal Quantum Cloning Machine and U-NOT Gate | |
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| More on Contextuality and Universality | |
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| Teleportation Scheme Implementing the Universal Optimal Quantum Cloning Machine and the Universal NOT Gate | |
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| Quantum Entanglement and Tomographic Analysis of Quantum Operations | |
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| Maximum-Likelihood Estimation in Experimental Quantum Physics | |
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| Introduction | |
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| Maximum-Likelihood Phase Estimation | |
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| ML Neutron Absorption Tomography | |
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| ML Neutron Phase Tomography | |
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| Maximum-Likelihood Characterization of Photonic Qutrits | |
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| Maximum-Likelihood Quantum Homodyne Tomography | |
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| Quantum Decision | |
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| Discrimination of Quantum States | |
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| Introduction | |
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| Unambiguous Discrimination | |
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| State Discrimination with Minimum Error | |
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| Discriminating Multiparticle States | |
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| Outlook | |
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| Quantum States: Discrimination and Classical Information Transmission. A Review of Experimental Progress | |
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| Introduction | |
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| Minimum Error Discrimination Between Two Pure States | |
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| Generalised Measurements and POVMs | |
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| Unambiguous Discrimination Between Two Pure States | |
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| Discrimination Among Multiple States with Minimum Error Probability and the Accessible Information | |
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| Accessible Information Experiments with Symmetric Qubit Ensembles | |
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| Superadditivity of the Classical Capacity | |
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| Discussion | |
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| Index | |