Overview
- Helps readers learn the basic concepts of quantum tomography by providing numerous step-by-step tutorials
- Includes a detailed description of how to choose estimation precision benchmarks
- Allows experimentalists to calculate the reliability of their estimation results with a developed finite sample theory
- Nominated as an outstanding contribution by the University of Tokyo's Physics Department in 2013
- Includes supplementary material: sn.pub/extras
Part of the book series: Springer Theses (Springer Theses)
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Table of contents (7 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.
Authors and Affiliations
About the author
Bibliographic Information
Book Title: Finite Sample Analysis in Quantum Estimation
Authors: Takanori Sugiyama
Series Title: Springer Theses
DOI: https://doi.org/10.1007/978-4-431-54777-8
Publisher: Springer Tokyo
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer Japan 2014
Hardcover ISBN: 978-4-431-54776-1Published: 27 January 2014
Softcover ISBN: 978-4-431-56183-5Published: 27 August 2016
eBook ISBN: 978-4-431-54777-8Published: 15 January 2014
Series ISSN: 2190-5053
Series E-ISSN: 2190-5061
Edition Number: 1
Number of Pages: XII, 118
Number of Illustrations: 3 b/w illustrations, 11 illustrations in colour
Topics: Quantum Physics, Quantum Information Technology, Spintronics, Quantum Optics, Measurement Science and Instrumentation, Data Structures and Information Theory