Introduction To Quantum State Estimation PDF Download
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Author | : Yong Siah Teo |
Publisher | : World Scientific |
Total Pages | : 396 |
Release | : 2015-08-20 |
Genre | : Science |
ISBN | : 9814678864 |
Download Introduction To Quantum-state Estimation Book in PDF, ePub and Kindle
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.
Author | : Matteo Paris |
Publisher | : Springer Science & Business Media |
Total Pages | : 548 |
Release | : 2004-08-11 |
Genre | : Science |
ISBN | : 9783540223290 |
Download Quantum State Estimation Book in PDF, ePub and Kindle
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 in its own right since it touches upon the conceptual foundations of quantum mechanics. The book consists of twelve extensive lectures that are essentially self-contained and modular, allowing combination of various chapters as a basis for advanced courses and seminars on theoretical or experimental aspects. The last two chapters, for instance, form a self-contained exposition on quantum discrimination problems. The book will benefit graduate students and newcomers to the field as a high-level but accessible textbook, lecturers in search for advanced course material and researchers wishing to consult a modern and authoritative source of reference.
Author | : Matteo Paris |
Publisher | : |
Total Pages | : 536 |
Release | : 2014-01-15 |
Genre | : |
ISBN | : 9783662144633 |
Download Quantum State Estimation Book in PDF, ePub and Kindle
Author | : Timothy D. Barfoot |
Publisher | : Cambridge University Press |
Total Pages | : 381 |
Release | : 2017-07-31 |
Genre | : Computers |
ISBN | : 1107159393 |
Download State Estimation for Robotics Book in PDF, ePub and Kindle
A modern look at state estimation, targeted at students and practitioners of robotics, with emphasis on three-dimensional applications.
Author | : Masahito Hayashi |
Publisher | : Springer |
Total Pages | : 338 |
Release | : 2014-08-22 |
Genre | : Computers |
ISBN | : 3662435020 |
Download Introduction to Quantum Information Science Book in PDF, ePub and Kindle
This book presents the basics of quantum information, e.g., foundation of quantum theory, quantum algorithms, quantum entanglement, quantum entropies, quantum coding, quantum error correction and quantum cryptography. The required knowledge is only elementary calculus and linear algebra. This way the book can be understood by undergraduate students. In order to study quantum information, one usually has to study the foundation of quantum theory. This book describes it from more an operational viewpoint which is suitable for quantum information while traditional textbooks of quantum theory lack this viewpoint. The current book bases on Shor's algorithm, Grover's algorithm, Deutsch-Jozsa's algorithm as basic algorithms. To treat several topics in quantum information, this book covers several kinds of information quantities in quantum systems including von Neumann entropy. The limits of several kinds of quantum information processing are given. As important quantum protocols, this book contains quantum teleportation, quantum dense coding, quantum data compression. In particular conversion theory of entanglement via local operation and classical communication are treated too. This theory provides the quantification of entanglement, which coincides with von Neumann entropy. The next part treats the quantum hypothesis testing. The decision problem of two candidates of the unknown state are given. The asymptotic performance of this problem is characterized by information quantities. Using this result, the optimal performance of classical information transmission via noisy quantum channel is derived. Quantum information transmission via noisy quantum channel by quantum error correction are discussed too. Based on this topic, the secure quantum communication is explained. In particular, the quantification of quantum security which has not been treated in existing book is explained. This book treats quantum cryptography from a more practical viewpoint.
Author | : Phillip Kaye |
Publisher | : Oxford University Press |
Total Pages | : 287 |
Release | : 2007 |
Genre | : Computers |
ISBN | : 0198570007 |
Download An Introduction to Quantum Computing Book in PDF, ePub and Kindle
The authors provide an introduction to quantum computing. Aimed at advanced undergraduate and beginning graduate students in these disciplines, this text is illustrated with diagrams and exercises.
Author | : Ingemar Bengtsson |
Publisher | : Cambridge University Press |
Total Pages | : 637 |
Release | : 2017-08-18 |
Genre | : Science |
ISBN | : 1108293492 |
Download Geometry of Quantum States Book in PDF, ePub and Kindle
Quantum information theory is a branch of science at the frontier of physics, mathematics, and information science, and offers a variety of solutions that are impossible using classical theory. This book provides a detailed introduction to the key concepts used in processing quantum information and reveals that quantum mechanics is a generalisation of classical probability theory. The second edition contains new sections and entirely new chapters: the hot topic of multipartite entanglement; in-depth discussion of the discrete structures in finite dimensional Hilbert space, including unitary operator bases, mutually unbiased bases, symmetric informationally complete generalized measurements, discrete Wigner function, and unitary designs; the Gleason and Kochen–Specker theorems; the proof of the Lieb conjecture; the measure concentration phenomenon; and the Hastings' non-additivity theorem. This richly-illustrated book will be useful to a broad audience of graduates and researchers interested in quantum information theory. Exercises follow each chapter, with hints and answers supplied.
Author | : Hiroshi Nagoaka |
Publisher | : |
Total Pages | : 18 |
Release | : 1994 |
Genre | : |
ISBN | : |
Download Differential Geometrical Aspects of Quantum State Estimation and Relative Entropy Book in PDF, ePub and Kindle
Author | : Howard M. Wiseman |
Publisher | : Cambridge University Press |
Total Pages | : 477 |
Release | : 2010 |
Genre | : Mathematics |
ISBN | : 0521804426 |
Download Quantum Measurement and Control Book in PDF, ePub and Kindle
Modern quantum measurement for graduate students and researchers in quantum information, quantum metrology, quantum control and related fields.
Author | : Takanori Sugiyama |
Publisher | : Springer Science & Business Media |
Total Pages | : 125 |
Release | : 2014-01-15 |
Genre | : Science |
ISBN | : 4431547770 |
Download Finite Sample Analysis in Quantum Estimation Book in PDF, ePub and Kindle
In this thesis, the author explains the background of problems in quantum estimation, the necessary conditions required for estimation precision benchmarks that are applicable and meaningful for evaluating data in quantum information experiments, and provides examples of such benchmarks. The author develops mathematical methods in quantum estimation theory and analyzes the benchmarks in tests of Bell-type correlation and quantum tomography with those methods. Above all, a set of explicit formulae for evaluating the estimation precision in quantum tomography with finite data sets is derived, in contrast to the standard quantum estimation theory, which can deal only with infinite samples. This is the first result directly applicable to the evaluation of estimation errors in quantum tomography experiments, allowing experimentalists to guarantee estimation precision and verify quantitatively that their preparation is reliable.