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arxiv: 1502.07924 · v2 · pith:ENQ2JZ6Xnew · submitted 2015-02-27 · 🪐 quant-ph

Quantum parameter estimation using multi-mode Gaussian states

classification 🪐 quant-ph
keywords estimationgaussianstatesderivemulti-modeoptimalparameterparameters
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Gaussian states are of increasing interest in the estimation of physical parameters because they are easy to prepare and manipulate in experiments. In this article, we derive formulae for the optimal estimation of parameters using two- and multi-mode Gaussian states. As an application of our result, we derive the optimal Gaussian probe states for the estimation of the parameter characterizing a one-mode squeezing channel.

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    Generalizes Williamson's theorem to real symmetric matrices allowing arbitrary real symplectic eigenvalues, with explicit constructions and perturbation bounds for the class EigSpSm(2n).