Finite Sample Analysis In Quantum Estimation

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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.

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Genre : Science
Author : Takanori Sugiyama
Publisher : Springer Science & Business Media
Release : 2014-01-15
File : 125 Pages
ISBN-13 : 9784431547778


Finite Sample Analysis In Quantum Estimation

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Genre :
Author : Takanori Sugiyama
Publisher :
Release : 2014-02-28
File : 132 Pages
ISBN-13 : 4431547789


Quantum Mechanics Via Lie Algebras

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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.

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Genre : Science
Author : Arnold Neumaier
Publisher : Walter de Gruyter GmbH & Co KG
Release : 2024-10-07
File : 567 Pages
ISBN-13 : 9783110406245


Quantum Bio Informatics From Quantum Information To Bio Informatics

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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.

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Genre : Science
Author : Luigi Accardi
Publisher : World Scientific
Release : 2008-03-10
File : 469 Pages
ISBN-13 : 9789814471718


Financial Econometrics Bayesian Analysis Quantum Uncertainty And Related Topics

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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.

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Genre : Technology & Engineering
Author : Nguyen Ngoc Thach
Publisher : Springer Nature
Release : 2022-05-28
File : 865 Pages
ISBN-13 : 9783030986896


Quantum Cryptography And Computing

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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

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Genre : Computers
Author : Ryszard Horodecki
Publisher : IOS Press
Release : 2010
File : 272 Pages
ISBN-13 : 9781607505464


Nbs Special Publication

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Genre : Weights and measures
Author :
Publisher :
Release : 1970
File : 574 Pages
ISBN-13 : UOM:39015023124111


Monte Carlo Methods In Ab Initio Quantum Chemistry

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This book presents the basic theory and application of the Monte Carlo method to the electronic structure of atoms and molecules. It assumes no previous knowledge of the subject, only a knowledge of molecular quantum mechanics at the first-year graduate level. A working knowledge of traditional ab initio quantum chemistry is helpful, but not essential.Some distinguishing features of this book are:

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Genre : Science
Author : B. L. Hammond
Publisher : World Scientific
Release : 1994
File : 320 Pages
ISBN-13 : 9789810203214


Quantum Coherence Correlation And Control In Finite Quantum Systems

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Genre : Science
Author : Hui Yan
Publisher : Frontiers Media SA
Release : 2022-10-21
File : 93 Pages
ISBN-13 : 9782832503164


An Author And Permuted Title Index To Selected Statistical Journals

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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.

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Genre : Annals of mathematical statistics
Author : Brian L. Joiner
Publisher :
Release : 1970
File : 512 Pages
ISBN-13 : UOM:39015095088145