Introduction To Quantum State Estimation

Download or read book Introduction to Quantum-State Estimation written by Yong Siah Teo and published by World Scientific. This book was released on 2015-08-28 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum-state estimation is an important field in quantum information theory that deals with the characterization of states of affairs for quantum sources. This book begins with background formalism in estimation theory to establish the necessary prerequisites. This basic understanding allows us to explore popular likelihood- and entropy-related estimation schemes that are suitable for an introductory survey on the subject. Discussions on practical aspects of quantum-state estimation ensue, with emphasis on the evaluation of tomographic performances for estimation schemes, experimental realizations of quantum measurements and detection of single-mode multi-photon sources. Finally, the concepts of phase-space distribution functions, which compatibly describe these multi-photon sources, are introduced to bridge the gap between discrete and continuous quantum degrees of freedom. This book is intended to serve as an instructive and self-contained medium for advanced undergraduate and postgraduate students to grasp the basics of quantum-state estimation. Any reader with a solid foundation in quantum mechanics, linear algebra and calculus would be able to follow the book comfortably. Contents:PrefaceAcknowledgmentsAcronymsSymbols and NotationsPreliminaries of Quantum-State EstimationInformationally Complete EstimationInformationally Incomplete EstimationPractical Aspects of State EstimationQuasi-Probability Distributions Readership: Advanced undergraduate and graduate students as well as researchers interested in quantum information, estimation theory, and quantum optics. Key Features:This is a relatively new topic with a paucity of literature in the marketThis book is a set of lecture notes that is more suitable for graduate-module teaching, covering the necessary basic elements of this subject in a pedagogical manner before introducing more advanced notions in the later chaptersA solution manual for the problems in the book is currently in the worksKeywords:Quantum State Estimation;Tomography;Quasi-Probability;Likelihood;Entropy;Constrained OptimizationReview: "This book is a detailed, well-written introduction to the way of inferring quantum states parameters from measurement data. This book is surely something to recommend to one's students." Dmitri Mogilevtsev Institute of Physics Minsk, Belarus