Title :

State estimation in quantum homodyne tomography with noisy data

Author(s) :

Aubry, Jean-Marie [Auteur]
Laboratoire d'Analyse et de Mathématiques Appliquées [LAMA]
Butucea, Cristina [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Meziani, Katia [Auteur]
Laboratoire de Probabilités et Modèles Aléatoires [LPMA]

Journal title :

Inverse Problems

Pages :

22

Publisher :

IOP Publishing

Publication date :

2009

ISSN :

0266-5611

English keyword(s) :

pattern functions
Radon transform
quantum homodyne tomography
Wigner function
nonparametric estimation
$\mathbb{L}_2$-risk
Gaussian noise
density matrix
quantum state

HAL domain(s) :

Mathématiques [math]/Statistiques [math.ST]
Statistiques [stat]/Théorie [stat.TH]

English abstract : [en]

In the framework of noisy quantum homodyne tomography with efficiency parameter $0 < \eta \leq 1$, we propose two estimators of a quantum state whose density matrix elements $\rho_{m,n}$ decrease like $e^{-B(m+n)^{ r/ 2}}$, ...
Show more >In the framework of noisy quantum homodyne tomography with efficiency parameter $0 < \eta \leq 1$, we propose two estimators of a quantum state whose density matrix elements $\rho_{m,n}$ decrease like $e^{-B(m+n)^{ r/ 2}}$, for fixed known $B>0$ and $0Show less >

Language :

Anglais

Popular science :

Non

Collections :

• Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL