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Trapped Ion Quantum Computing

Bounds on Quantum Multiple-Parameter Estimation with Gaussian State

arXiv
Authors: Yang Gao, Hwang Lee

Year

2014

Paper ID

48388

Status

Preprint

Abstract Read

~2 min

Abstract Words

76

Citations

N/A

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.

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  • This paper contributes to the Trapped-Ion Quantum Computing research area in the Quantum Articles archive.
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  • We investigate the quantum Cramer-Rao bounds on the joint multiple-parameter estimation with the Gaussian state as a probe.

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