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Trapped Ion Quantum Computing

Quantum parameter estimation using general single-mode Gaussian states

arXiv
Authors: Olivier Pinel, Pu Jian, Claude Fabre, Nicolas Treps, Daniel Braun

Year

2013

Paper ID

8480

Status

Preprint

Abstract Read

~2 min

Abstract Words

99

Citations

N/A

Abstract

We calculate the quantum Cramér--Rao bound for the sensitivity with which one or several parameters, encoded in a general single-mode Gaussian state, can be estimated. This includes in particular the interesting case of mixed Gaussian states. We apply the formula to the problems of estimating phase, purity, loss, amplitude, and squeezing. In the case of the simultaneous measurement of several parameters, we provide the full quantum Fisher information matrix. Our results unify previously known partial results, and constitute a complete solution to the problem of knowing the best possible sensitivity of measurements based on a single-mode Gaussian state.

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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 calculate the quantum Cramér--Rao bound for the sensitivity with which one or several parameters, encoded in a general single-mode Gaussian state, can be estimated.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1307.5318 [2] arXiv https://arxiv.org/abs/1307.5318 [3] Publisher https://arxiv.org/abs/1307.5318

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