Quantum State Estimation

Matteo G.A. Paris, Jaroslav Řeháček (auth.), Matteo Paris, Jaroslav Řeháček (eds.)3540223290, 9783540223290

This book is a comprehensive survey of most of the theoretical and experimental achievements in the field of quantum estimation of states and operations. Albeit still quite young, this field has already been recognized as a necessary tool for research in quantum optics and quantum information, beyond being a fascinating subject on its own as it touches upon the very conceptual foundations of quantum mechanics. The books consists of twelve extensive lectures that are essentially self-contained and modular allowing to combine various chapters as a basis for advanced courses and seminars on theoretical or experimental aspects. The last two chapters, for instance, form a self-consistent exposition on quantum discrimination problems. The book will benefit graduate students and newcomers to the field as high-level but accessible textbook, lecturers in search for advanced course material and researcher wishing to consult a modern and authoritative source of reference.

Table of contents :
Introduction….Pages 1-4
2 Quantum Tomographic Methods….Pages 7-58
3 Maximum-Likelihood Methodsin Quantum Mechanics….Pages 59-112
4 Qubit Quantum State Tomography….Pages 113-145
5 Unknown Quantum States and Operations,a Bayesian View….Pages 147-187
6 Quantum Tomography from Incomplete Data via MaxEnt Principle….Pages 189-234
7 Experimental Quantum State Tomography of Optical Fields and Ultrafast Statistical Sampling….Pages 235-295
8 Characterization of Quantum Devices….Pages 297-332
9 Quantum Operations on Qubitsand Their Characterization….Pages 333-371
10 Maximum-Likelihood Estimationin Experimental Quantum Physics….Pages 373-414
11 Discrimination of Quantum States….Pages 417-465
12 Quantum States: Discrimination and Classical Information Transmission.A Review of Experimental Progress….Pages 467-511