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Springer Theses

Finite Sample Analysis in Quantum Estimation

Authors: Sugiyama, Takanori

  • 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
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eBook $99.00
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  • ISBN 978-4-431-54777-8
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  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-4-431-54776-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: October 13, 2016
  • ISBN 978-4-431-56183-5
  • Free shipping for individuals worldwide
Rent the ebook  
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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.

About the authors

Dr. Takanori Sugiyama Department of Physics, Graduate School of Science, The University of Tokyo

Table of contents (7 chapters)

  • Introduction

    Sugiyama, Takanori

    Pages 1-5

  • Quantum Mechanics and Quantum Estimation: Background and Problems in Quantum Estimation

    Sugiyama, Takanori

    Pages 7-11

  • Mathematical Statistics: Basic Concepts and Theoretical Tools for Finite Sample Analysis

    Sugiyama, Takanori

    Pages 13-26

  • Evaluation of Estimation Precision in Test of Bell-Type Correlations

    Sugiyama, Takanori

    Pages 27-36

  • Evaluation of Estimation Precision in Quantum Tomography

    Sugiyama, Takanori

    Pages 37-87

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-4-431-54777-8
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-4-431-54776-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $129.00
price for USA
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: October 13, 2016
  • ISBN 978-4-431-56183-5
  • Free shipping for individuals worldwide
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Finite Sample Analysis in Quantum Estimation
Authors
Series Title
Springer Theses
Copyright
2014
Publisher
Springer Japan
Copyright Holder
Springer Japan
eBook ISBN
978-4-431-54777-8
DOI
10.1007/978-4-431-54777-8
Hardcover ISBN
978-4-431-54776-1
Softcover ISBN
978-4-431-56183-5
Series ISSN
2190-5053
Edition Number
1
Number of Pages
XII, 118
Number of Illustrations and Tables
3 b/w illustrations, 11 illustrations in colour
Topics