%0 Journal Article %1 gao2014bounds %A Gao, Yang %A Lee, Hwang %D 2014 %K bounds gaussian-proceses information %R 10.1140/epjd/e2014-50560-1 %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.

@article{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 = {2019-08-22T20:57:45.000+0200}, author = {Gao, Yang and Lee, Hwang}, biburl = {https://www.bibsonomy.org/bibtex/24624499ee143278a42745ff1df4ba397/kirk86}, description = {[1407.7352] Bounds on Quantum Multiple-Parameter Estimation with Gaussian State}, doi = {10.1140/epjd/e2014-50560-1}, interhash = {f98c78f080619493baa1715ebbf6bde6}, intrahash = {4624499ee143278a42745ff1df4ba397}, keywords = {bounds gaussian-proceses information}, note = {cite arxiv:1407.7352Comment: 7 pages, 5 figures}, timestamp = {2019-08-22T20:57:45.000+0200}, title = {Bounds on Quantum Multiple-Parameter Estimation with Gaussian State}, url = {http://arxiv.org/abs/1407.7352}, year = 2014 }