Quantum parameter estimation using general single-mode Gaussian states

Quantum parameter estimation using general single-mode Gaussian states

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,...

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Veröffentlicht in:Physical review. A, Atomic, molecular, and optical physics Atomic, molecular, and optical physics, 2013-10, Vol.88 (4), Article 040102
Hauptverfasser: Pinel, O., Jian, P., Treps, N., Fabre, C., Braun, D.
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creator Pinel, O.
Jian, P.
Treps, N.
Fabre, C.
Braun, D.
description 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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title Quantum parameter estimation using general single-mode Gaussian states
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