Finite Sample Analysis in Quantum Estimation

Finite Sample Analysis in Quantum Estimation
Author: Takanori Sugiyama
Publisher: Springer Science & Business Media
Total Pages: 125
Release: 2014-01-15
Genre: Science
ISBN: 4431547770

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.

Quantum Mechanics via Lie Algebras

Quantum Mechanics via Lie Algebras
Author: Arnold Neumaier
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 567
Release: 2024-10-07
Genre: Science
ISBN: 3110406241

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.

Quantum Bio-informatics: From Quantum Information To Bio-informatics

Quantum Bio-informatics: From Quantum Information To Bio-informatics
Author: Luigi Accardi
Publisher: World Scientific
Total Pages: 469
Release: 2008-03-10
Genre: Science
ISBN: 9814471712

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.

Quantum Cryptography and Computing

Quantum Cryptography and Computing
Author: Ryszard Horodecki
Publisher: IOS Press
Total Pages: 272
Release: 2010
Genre: Computers
ISBN: 1607505460

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

Financial Econometrics: Bayesian Analysis, Quantum Uncertainty, and Related Topics

Financial Econometrics: Bayesian Analysis, Quantum Uncertainty, and Related Topics
Author: Nguyen Ngoc Thach
Publisher: Springer Nature
Total Pages: 865
Release: 2022-05-28
Genre: Technology & Engineering
ISBN: 3030986896

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.

Asymptotic Theory Of Quantum Statistical Inference: Selected Papers

Asymptotic Theory Of Quantum Statistical Inference: Selected Papers
Author: Masahito Hayashi
Publisher: World Scientific
Total Pages: 553
Release: 2005-02-21
Genre: Science
ISBN: 981448198X

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.

An Author and Permuted Title Index to Selected Statistical Journals

An Author and Permuted Title Index to Selected Statistical Journals
Author: Brian L. Joiner
Publisher:
Total Pages: 512
Release: 1970
Genre: Annals of mathematical statistics
ISBN:

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.