Finite Sample Analysis in Quantum Estimation

Nonfiction, Science & Nature, Science, Physics, Quantum Theory, Computers, Advanced Computing, Information Technology
Cover of the book Finite Sample Analysis in Quantum Estimation by Takanori Sugiyama, Springer Japan
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Takanori Sugiyama ISBN: 9784431547778
Publisher: Springer Japan Publication: January 15, 2014
Imprint: Springer Language: English
Author: Takanori Sugiyama
ISBN: 9784431547778
Publisher: Springer Japan
Publication: January 15, 2014
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer Japan

Cover of the book Atlas of Plant Cell Structure by Takanori Sugiyama
Cover of the book Computing and Monitoring in Anesthesia and Intensive Care by Takanori Sugiyama
Cover of the book Digital Endocasts by Takanori Sugiyama
Cover of the book Complex Analysis and Geometry by Takanori Sugiyama
Cover of the book Skin Permeation and Disposition of Therapeutic and Cosmeceutical Compounds by Takanori Sugiyama
Cover of the book Japan’s Industrious Revolution by Takanori Sugiyama
Cover of the book Childbearing and Careers of Japanese Women Born in the 1960s by Takanori Sugiyama
Cover of the book Chile’s Salmon Industry by Takanori Sugiyama
Cover of the book Primates and Cetaceans by Takanori Sugiyama
Cover of the book Contemporary Neuropsychiatry by Takanori Sugiyama
Cover of the book Respiration and Emotion by Takanori Sugiyama
Cover of the book Development of New Catalytic Performance of Nanoporous Metals for Organic Reactions by Takanori Sugiyama
Cover of the book Statistical Mechanics of Superconductivity by Takanori Sugiyama
Cover of the book A Shrinking Society by Takanori Sugiyama
Cover of the book Tropical Peatland Ecosystems by Takanori Sugiyama
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy