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

Abstract : In the framework of noisy quantum homodyne tomography with efficiency parameter $1/2 < \eta \leq 1$, we propose a novel estimator of a quantum state whose density matrix elements $\rho_{m,n}$ decrease like $Ce^{-B(m+n)^{r/ 2}}$, for fixed $C\geq 1$, $B>0$ and $0
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https://hal.archives-ouvertes.fr/hal-00849962
Contributor : Katia Meziani <>
Submitted on : Thursday, August 1, 2013 - 10:24:30 PM
Last modification on : Wednesday, February 19, 2020 - 8:59:33 AM

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  • HAL Id : hal-00849962, version 1
  • ARXIV : 1301.7644

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P Alquier, K Meziani, G Peyré. Adaptive estimation of the density matrix in quantum homodyne tomography with noisy data. Inverse Problems, IOP Publishing, 2013, 29 - 075017, pp.29 (2013) 075017. ⟨hal-00849962⟩

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