Quantum parameter estimation using general single-mode Gaussian states

By O. Pinel, P. Jian, Nicolas Treps, Claude Fabre, andRobert D. Braun. 2013

193 citations recorded by the source corpus.

We calculate the quantum Cramer--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.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/2feaf6c908d75e3994cc515dbe05fab702be148a

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In Artificial Intelligence

In Atomic and Molecular Physics, and Optics

Citations in the corpus

Sensitivity of parameter estimation near the exceptional point of a non-Hermitian system (2018, unknown): “[50] presents a concise result of the QFI, namely F ν = Tr[(C−1 ν Ċν)(2)] 2(1 + P 2 ν ) + 2(Ṗν) 2”
Quantum Fisher information matrix and multiparameter estimation (2019, background): “in 2013 [63], and for two-mode Gaussian states by Šafránek et al.”
Quantum limits in optical interferometry (2014, methodology): “For the decoherence-free case this was done in Pinel et al. (2012, 2013).”
Quantum-enhanced measurements without entanglement (2017, background): “Quantum estimation of bosonic loss was first studied in (Monras and Paris, 2007) by using single-mode pure Gaussian states (see also (Pinel et al., 2013)).”