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OverviewIn 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. Full Product DetailsAuthor: Takanori SugiyamaPublisher: Springer Verlag, Japan Imprint: Springer Verlag, Japan Edition: 2014 ed. Dimensions: Width: 15.50cm , Height: 1.00cm , Length: 23.50cm Weight: 3.259kg ISBN: 9784431547761ISBN 10: 4431547762 Pages: 118 Publication Date: 27 January 2014 Audience: Professional and scholarly , Professional & Vocational Format: Hardback Publisher's Status: Active Availability: Manufactured on demand  We will order this item for you from a manufactured on demand supplier. Table of ContentsIntroduction.- Quantum Mechanics and Quantum Estimation — Background and Problems in Quantum Estimation.- Mathematical Statistics — Basic Concepts and Theoretical Tools for Finite Sample Analysis.- Evaluation of Estimation Precision in Test of Bell-type Correlations.- Evaluation of Estimation Precision in Quantum Tomography.- Improvement of Estimation Precision by Adaptive Design of Experiments.- Summary and Outlook.ReviewsAuthor InformationDr. Takanori Sugiyama Department of Physics, Graduate School of Science, The University of Tokyo Tab Content 6Author Website:Countries AvailableAll regions |
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