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Finite sample analysis in quantum estimation Takanori Sugiyama
Springer Nature - Springer Physics and Astronomy (R0) eBooks 2014 English International Available online
View online- Format:
- Book
- Author/Creator:
- Sugiyama, Takanori, author.
- Series:
- Springer theses
- Language:
- English
- Subjects (All):
- Quantum statistics.
- Quantum theory.
- Quantum measure theory.
- Quantum Theory.
- Medical Subjects:
- Quantum Theory.
- Physical Description:
- 1 online resource
- Place of Publication:
- New York Springer 2014
- Summary:
- 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
- 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
- Notes:
- Includes bibliographical references
- Doctoral thesis accepted by the University of Tokyo, Tokyo, Japan
- Print version record
- Other Format:
- Print version Finite Sample Analysis in Quantum Estimation
- ISBN:
- 9784431547778
- 4431547770
- 1306542677
- 9781306542678
- OCLC:
- 870162440
- Access Restriction:
- Restricted for use by site license
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