Bounds on Quantum Multiple-Parameter Estimation with Gaussian State
Y. Gao, and H. Lee. (2014)cite arxiv:1407.7352Comment: 7 pages, 5 figures.
Abstract
We investigate the quantum Cramer-Rao bounds on the joint multiple-parameter
estimation with the Gaussian state as a probe. We derive the explicit right
logarithmic derivative and symmetric logarithmic derivative operators in such a
situation. We compute the corresponding quantum Fisher information matrices,
and find that they can be fully expressed in terms of the mean displacement and
covariance matrix of the Gaussian state. Finally, we give some examples to show
the utility of our analytical results.
Description
Bounds on Quantum Multiple-Parameter Estimation with Gaussian State
%0 Generic
%1 gao2014bounds
%A Gao, Yang
%A Lee, Hwang
%D 2014
%K estimation parameter
%T Bounds on Quantum Multiple-Parameter Estimation with Gaussian State
%U http://arxiv.org/abs/1407.7352
%X We investigate the quantum Cramer-Rao bounds on the joint multiple-parameter
estimation with the Gaussian state as a probe. We derive the explicit right
logarithmic derivative and symmetric logarithmic derivative operators in such a
situation. We compute the corresponding quantum Fisher information matrices,
and find that they can be fully expressed in terms of the mean displacement and
covariance matrix of the Gaussian state. Finally, we give some examples to show
the utility of our analytical results.
@misc{gao2014bounds,
abstract = {We investigate the quantum Cramer-Rao bounds on the joint multiple-parameter
estimation with the Gaussian state as a probe. We derive the explicit right
logarithmic derivative and symmetric logarithmic derivative operators in such a
situation. We compute the corresponding quantum Fisher information matrices,
and find that they can be fully expressed in terms of the mean displacement and
covariance matrix of the Gaussian state. Finally, we give some examples to show
the utility of our analytical results.},
added-at = {2014-07-30T01:28:14.000+0200},
author = {Gao, Yang and Lee, Hwang},
biburl = {https://www.bibsonomy.org/bibtex/29a8a54721ec9d1d38914719f9650d7c3/scavgf},
description = {Bounds on Quantum Multiple-Parameter Estimation with Gaussian State},
interhash = {f98c78f080619493baa1715ebbf6bde6},
intrahash = {9a8a54721ec9d1d38914719f9650d7c3},
keywords = {estimation parameter},
note = {cite arxiv:1407.7352Comment: 7 pages, 5 figures},
timestamp = {2014-07-30T01:28:14.000+0200},
title = {Bounds on Quantum Multiple-Parameter Estimation with Gaussian State},
url = {http://arxiv.org/abs/1407.7352},
year = 2014
}