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Finite Sample Analysis In Quantum Estimation
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Book Synopsis Finite Sample Analysis in Quantum Estimation by : Takanori Sugiyama
Download or read book Finite Sample Analysis in Quantum Estimation written by Takanori Sugiyama and published by Springer Science & Business Media. This book was released on 2014-01-15 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Quantum Mechanics via Lie Algebras by : Arnold Neumaier
Download or read book Quantum Mechanics via Lie Algebras written by Arnold Neumaier and published by Walter de Gruyter GmbH & Co KG. This book was released on 2024-10-07 with total page 567 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph introduces mathematicians, physicists, and engineers to the ideas relating quantum mechanics and symmetries - both described in terms of Lie algebras and Lie groups. The exposition of quantum mechanics from this point of view reveals that classical mechanics and quantum mechanics are very much alike. Written by a mathematician and a physicist, this book is (like a math book) about precise concepts and exact results in classical mechanics and quantum mechanics, but motivated and discussed (like a physics book) in terms of their physical meaning. The reader can focus on the simplicity and beauty of theoretical physics, without getting lost in a jungle of techniques for estimating or calculating quantities of interest.
Book Synopsis Quantum Bio-informatics: From Quantum Information To Bio-informatics by : Luigi Accardi
Download or read book Quantum Bio-informatics: From Quantum Information To Bio-informatics written by Luigi Accardi and published by World Scientific. This book was released on 2008-03-10 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this volume is examine bio-informatics and quantum information, which are growing rapidly at present, and to attempt to connect the two, with a view to enumerating and solving the many fundamental problems they entail. To this end, we look for interdisciplinary bridges in mathematics, physics, and information and life sciences. In particular, research into a new paradigm for information science and life science on the basis of quantum theory is emphasized.
Book Synopsis Statistical Analysis of Quantum Annealing Models and Density Matrix Estimation in Quantum Homodyne Tomography by :
Download or read book Statistical Analysis of Quantum Annealing Models and Density Matrix Estimation in Quantum Homodyne Tomography written by and published by . This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum computation is of great current interest in computer science, mathematics, physical sciences and engineering. The thesis is devoted to the statistical analysis of the model of quantum annealing, and statistical methodologies to construct density matrix estimators. The D-Wave One machine was announced in 2011 as "the world's first commercially available quantum computer" and claimed to run quantum annealing to solve optimization problem. Since the announcement, the model of the D-Wave One machine has been heavily debated. We conduct statistical analysis to compare the result of D-Wave One with the result of the simulated annealing, the simulated quantum annealing and a mean field approximation to quantum annealing. Our statistical analysis shows none of the simulated models fit the D-Wave model well. Meanwhile, comparison of plots and test statistics suggests the model of the D-Wave one is more or less similar to the simulated quantum annealing and the mean field approximation, while different from the simulated annealing. Density matrices describe the quantum states of quantum systems. It is important while difficult to estimate the density matrices, for the elements of density matrices cannot be measured directly. We propose statistical methodologies to construct density matrix estimators from quantum homodyne tomography measurements. We establish an asymptotic theory showing that the proposed density matrix estimators are consistent and have good convergence rates. A numerical study is conducted to demonstrate the finite sample performances of the proposed estimators.
Book Synopsis Quantum Cryptography and Computing by : Ryszard Horodecki
Download or read book Quantum Cryptography and Computing written by Ryszard Horodecki and published by IOS Press. This book was released on 2010 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory and Implementation. This volume contains papers presented at the NATO Advanced Research Workshop September 9-12, 2009, Quantum Cryptography and Computing Theory and Implementation, that was held in Sopot, Poland and organized by the National Quantum Information Centre of
Book Synopsis Financial Econometrics: Bayesian Analysis, Quantum Uncertainty, and Related Topics by : Nguyen Ngoc Thach
Download or read book Financial Econometrics: Bayesian Analysis, Quantum Uncertainty, and Related Topics written by Nguyen Ngoc Thach and published by Springer Nature. This book was released on 2022-05-28 with total page 865 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book overviews latest ideas and developments in financial econometrics, with an emphasis on how to best use prior knowledge (e.g., Bayesian way) and how to best use successful data processing techniques from other application areas (e.g., from quantum physics). The book also covers applications to economy-related phenomena ranging from traditionally analyzed phenomena such as manufacturing, food industry, and taxes, to newer-to-analyze phenomena such as cryptocurrencies, influencer marketing, COVID-19 pandemic, financial fraud detection, corruption, and shadow economy. This book will inspire practitioners to learn how to apply state-of-the-art Bayesian, quantum, and related techniques to economic and financial problems and inspire researchers to further improve the existing techniques and come up with new techniques for studying economic and financial phenomena. The book will also be of interest to students interested in latest ideas and results.
Book Synopsis Introduction To Quantum-state Estimation by : Yong Siah Teo
Download or read book Introduction To Quantum-state Estimation written by Yong Siah Teo and published by World Scientific. This book was released on 2015-08-20 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.
Download or read book NBS Special Publication written by and published by . This book was released on 1970 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Quantum Estimation Problems with Finite Resources in Higher Dimensions by : Thorsten Christian Bschorr
Download or read book Quantum Estimation Problems with Finite Resources in Higher Dimensions written by Thorsten Christian Bschorr and published by . This book was released on 2006 with total page 143 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Asymptotic Theory Of Quantum Statistical Inference: Selected Papers by : Masahito Hayashi
Download or read book Asymptotic Theory Of Quantum Statistical Inference: Selected Papers written by Masahito Hayashi and published by World Scientific. This book was released on 2005-02-21 with total page 553 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum statistical inference, a research field with deep roots in the foundations of both quantum physics and mathematical statistics, has made remarkable progress since 1990. In particular, its asymptotic theory has been developed during this period. However, there has hitherto been no book covering this remarkable progress after 1990; the famous textbooks by Holevo and Helstrom deal only with research results in the earlier stage (1960s-1970s).This book presents the important and recent results of quantum statistical inference. It focuses on the asymptotic theory, which is one of the central issues of mathematical statistics and had not been investigated in quantum statistical inference until the early 1980s. It contains outstanding papers after Holevo's textbook, some of which are of great importance but are not available now.The reader is expected to have only elementary mathematical knowledge, and therefore much of the content will be accessible to graduate students as well as research workers in related fields. Introductions to quantum statistical inference have been specially written for the book. Asymptotic Theory of Quantum Statistical Inference: Selected Papers will give the reader a new insight into physics and statistical inference.
Book Synopsis An Author and Permuted Title Index to Selected Statistical Journals by : Brian L. Joiner
Download or read book An Author and Permuted Title Index to Selected Statistical Journals written by Brian L. Joiner and published by . This book was released on 1970 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: All articles, notes, queries, corrigenda, and obituaries appearing in the following journals during the indicated years are indexed: Annals of mathematical statistics, 1961-1969; Biometrics, 1965-1969#3; Biometrics, 1951-1969; Journal of the American Statistical Association, 1956-1969; Journal of the Royal Statistical Society, Series B, 1954-1969,#2; South African statistical journal, 1967-1969,#2; Technometrics, 1959-1969.--p.iv.
Book Synopsis Finite Sample Analysis of Profile M-estimators by :
Download or read book Finite Sample Analysis of Profile M-estimators written by and published by . This book was released on 2015 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Frontiers in Analysis and Probability by : Nalini Anantharaman
Download or read book Frontiers in Analysis and Probability written by Nalini Anantharaman and published by Springer Nature. This book was released on 2020-11-21 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume presents extensive research devoted to a broad spectrum of mathematical analysis and probability theory. Subjects discussed in this Work are those treated in the so-called Strasbourg–Zürich Meetings. These meetings occur twice yearly in each of the cities, Strasbourg and Zürich, venues of vibrant mathematical communication and worldwide gatherings. The topical scope of the book includes the study of monochromatic random waves defined for general Riemannian manifolds, notions of entropy related to a compact manifold of negative curvature, interacting electrons in a random background, lp-cohomology (in degree one) of a graph and its connections with other topics, limit operators for circular ensembles, polyharmonic functions for finite graphs and Markov chains, the ETH-Approach to Quantum Mechanics, 2-dimensional quantum Yang–Mills theory, Gibbs measures of nonlinear Schrödinger equations, interfaces in spectral asymptotics and nodal sets. Contributions in this Work are composed by experts from the international community, who have presented the state-of-the-art research in the corresponding problems treated. This volume is expected to be a valuable resource to both graduate students and research mathematicians working in analysis, probability as well as their interconnections and applications.
Book Synopsis National Conference on Measurements of Laser Emissions for Regulatory Purposes by : Robert H. James
Download or read book National Conference on Measurements of Laser Emissions for Regulatory Purposes written by Robert H. James and published by . This book was released on 1977 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Statistics written by Karim M. Abadir and published by Cambridge University Press. This book was released on 2018-11-08 with total page 793 pages. Available in PDF, EPUB and Kindle. Book excerpt: Serves as a bridge between elementary and specialized statistics, with exercises that are fully solved and systematically built up.
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Quantum Machine Learning by : Peter Wittek
Download or read book Quantum Machine Learning written by Peter Wittek and published by Academic Press. This book was released on 2014-09-10 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum Machine Learning bridges the gap between abstract developments in quantum computing and the applied research on machine learning. Paring down the complexity of the disciplines involved, it focuses on providing a synthesis that explains the most important machine learning algorithms in a quantum framework. Theoretical advances in quantum computing are hard to follow for computer scientists, and sometimes even for researchers involved in the field. The lack of a step-by-step guide hampers the broader understanding of this emergent interdisciplinary body of research. Quantum Machine Learning sets the scene for a deeper understanding of the subject for readers of different backgrounds. The author has carefully constructed a clear comparison of classical learning algorithms and their quantum counterparts, thus making differences in computational complexity and learning performance apparent. This book synthesizes of a broad array of research into a manageable and concise presentation, with practical examples and applications. Bridges the gap between abstract developments in quantum computing with the applied research on machine learning Provides the theoretical minimum of machine learning, quantum mechanics, and quantum computing Gives step-by-step guidance to a broader understanding of this emergent interdisciplinary body of research
