Finite Sample Analysis in Quantum Estimation

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...

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Main Author: Sugiyama, Takanori. (Author, http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Tokyo : Springer Japan : Imprint: Springer, 2014.
Edition:1st ed. 2014.
Series:Springer Theses, Recognizing Outstanding Ph.D. Research,
Subjects:
Online Access:https://doi.org/10.1007/978-4-431-54777-8
Table of Contents:
  • Introduction
  • 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.