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Adaptive estimation of the density matrix in quantum homodyne tomography with noisy data

Adaptive estimation of the density matrix in quantum homodyne tomography with noisy data

In the framework of noisy quantum homodyne tomography with efficiency parameter 1/2 < η ≤ 1, we propose a novel estimator of a quantum state whose density matrix elements ρ m,n decrease like Ce -B(m+n) r/2 , for fixed C ≥ 1, B > 0 and 0 < r ≤ …