Logo - springer
Slogan - springer

Physics - Quantum Physics | Finite Sample Analysis in Quantum Estimation

Finite Sample Analysis in Quantum Estimation

Series: Springer Theses

Sugiyama, Takanori

2014, XII, 118 p. 14 illus., 11 illus. in color.

Available Formats:
eBook
Information

Springer eBooks may be purchased by end-customers only and are sold without copy protection (DRM free). Instead, all eBooks include personalized watermarks. This means you can read the Springer eBooks across numerous devices such as Laptops, eReaders, and tablets.

You can pay for Springer eBooks with Visa, Mastercard, American Express or Paypal.

After the purchase you can directly download the eBook file or read it online in our Springer eBook Reader. Furthermore your eBook will be stored in your MySpringer account. So you can always re-download your eBooks.

 
$99.00

(net) price for USA

ISBN 978-4-431-54777-8

digitally watermarked, no DRM

Included Format: PDF and EPUB

download immediately after purchase


learn more about Springer eBooks

add to marked items

Hardcover
Information

Hardcover version

You can pay for Springer Books with Visa, Mastercard, American Express or Paypal.

Standard shipping is free of charge for individual customers.

 
$129.00

(net) price for USA

ISBN 978-4-431-54776-1

free shipping for individuals worldwide

usually dispatched within 3 to 5 business days


add to marked items

  • 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

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.

Content Level » Research

Keywords » Finite Sample Analysis - Quantum Estimation Theory - Quantum Information - Quantum Tomography - Statistical Error Analysis - Test of Bell-type Correlation

Related subjects » Applied & Technical Physics - Atomic, Molecular, Optical & Plasma Physics - Quantum Physics - Security and Cryptology

Table of contents / Sample pages 

Popular Content within this publication 

 

Articles

Read this Book on Springerlink

Services for this book

New Book Alert

Get alerted on new Springer publications in the subject area of Quantum Physics.