Abstract
In this chapter, we explain the postulates of quantum mechanics as they are widely used in quantum information theory, give a brief review of quantum estimation, and introduce one of the most important problems in quantum estimation. In Sect. 2.1, we explain the basic concept in quantum mechanics, e.g., system, state, and measurement, and their mathematical representation. In Sect. 2.2, we briefly review two quantum estimation problems that we focus in this thesis; test of Bell-type correlations and quantum tomography. We also explain their roles in quantum information and emphasize the importance of accurately evaluating and improving their estimation errors. In Sect. 2.3, we point out that the accurate evaluation of estimation errors has not been done, which is the motivation of the research in this thesis, and explain the reasons.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
M.A. Nielsen, I.L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, 2000)
M.M. Wilde, Quantum Information Theory (Cambridge University Press, Cambridge, 2013)
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2014 Springer Japan
About this chapter
Cite this chapter
Sugiyama, T. (2014). Quantum Mechanics and Quantum Estimation: Background and Problems in Quantum Estimation. In: Finite Sample Analysis in Quantum Estimation. Springer Theses. Springer, Tokyo. https://doi.org/10.1007/978-4-431-54777-8_2
Download citation
DOI: https://doi.org/10.1007/978-4-431-54777-8_2
Published:
Publisher Name: Springer, Tokyo
Print ISBN: 978-4-431-54776-1
Online ISBN: 978-4-431-54777-8
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)