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portada Finite Sample Analysis in Quantum Estimation (Springer Theses)
Type
Physical Book
Publisher
Author
Year
2014
Language
English
Pages
132
Format
Hardcover
ISBN13
9784431547761
Edition No.
2014
Categories

Finite Sample Analysis in Quantum Estimation (Springer Theses)

Takanori Sugiyama (Author) · Springer · Hardcover

Finite Sample Analysis in Quantum Estimation (Springer Theses) - Takanori Sugiyama

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Synopsis "Finite Sample Analysis in Quantum Estimation (Springer Theses) "

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.

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