Abstract
Concerning state estimation, we will compare two cases. In one case we cannot use the quantum correlations between samples. In the other case, we can use them. In addition, under the later case, we will propose a method which simultaneously measures the complex amplitude and the expected photon number for the thermal states.
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
Preview
Unable to display preview. Download preview PDF.
References
C. W. Helstrom. “Quantum Detection and Estimation Theory,” Academic Press, New York (1976).
H. P. Yuen and M. Lax, Multiple-parameter quantum estimation and measurement of nonselfad-joint observables, IEEE trans. Inform. Theory, IT 19, 740 (1973).
A. S. Holevo. “Probabilistic and Statistical Aspects of Quantum Theory,” North_Holland, Amsterdam (1982).
H. Nagaoka, On the relation Kullback divergence and Fisher information-from classical systems to quantum systems-, in: “Proc. Society Information Theory and its Applications in Japan” (1992) (in Japanese).
H. Nagaoka, Two quantum analogues of the large deviation Cramr-Rao inequality, in: “Proc. 1994 IEEE Int. Symp. on Information Theory” p.118 (1994).
M. Hayashi, Asymptotic estimation theory for a finite-dimensional pure state model, J. Phys. A: Math. Gen. 31 4633 (1998).
M. Hayashi, Asymptotic Quantum Parameter Estimation in Spin 1/2 System, LANL e-print quant-ph/9710040 (1997).
M. Hayashi and K. Matsumoto, Quantum mechanics as a statistical model which allows a free choice of measurements in: “Large Deviation and Statistical Inference” RIMS koukyuuroku No. 1055 RIMS, Kyoto (1998) (in Japanese).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2002 Kluwer Academic Publishers
About this chapter
Cite this chapter
Hayashi, M. (2002). Asymptotic Quantum Estimation Theory for the Thermal States Family. In: Kumar, P., D’Ariano, G.M., Hirota, O. (eds) Quantum Communication, Computing, and Measurement 2. Springer, Boston, MA. https://doi.org/10.1007/0-306-47097-7_13
Download citation
DOI: https://doi.org/10.1007/0-306-47097-7_13
Publisher Name: Springer, Boston, MA
Print ISBN: 978-0-306-46307-5
Online ISBN: 978-0-306-47097-4
eBook Packages: Springer Book Archive