Disturbance of operation in quantum estimation for the Gaussian P-function
Quantum Physics
2007-05-23 v1
Abstract
For the quantum Gaussian state family, Hayashi proposed a quantum mechanical operation using beam splitters to estimate the location and scale parameters of the P-function, and he showed that it is asymptotically optimal. In this paper, we analyze the effect of disturbance of his operation caused by the randomness of the transparency of the beam splitters. It is shown that even if the variance of the random transparency is small, Hayashi's estimators are improper in a sense that they are biased and asymptotically inconsistent. In such a case, we propose to stop the operation and correct the biases of estimators.
Cite
@article{arxiv.quant-ph/0304124,
title = {Disturbance of operation in quantum estimation for the Gaussian P-function},
author = {Yoshiyuki Tsuda and Keiji Matsumoto and Masahito Hayashi},
journal= {arXiv preprint arXiv:quant-ph/0304124},
year = {2007}
}
Comments
latex2e, 13 pages, 2 figures, submitted to J. Japan Statist. Soc. on 20 Mar 2003