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math.ST2015★ 1 cited
Minimax and adaptive estimation of the Wigner function in quantum homodyne tomography with noisy data
Karim Lounici, Katia Meziani, Gabriel Peyré
In quantum optics, the quantum state of a light beam is represented through the Wigner function, a density on which may take negative values but must respect intrinsi…
math.ST2008★ 4 cited
Nonparametric goodness-of fit testing in quantum homodyne tomography with noisy data
Katia Meziani
In the framework of quantum optics, we study the problem of goodness-of-fit testing in a severely ill-posed inverse problem. A novel testing procedure is introduced and its rates o…