Work

State estimation in quantum homodyne tomography with noisy data

Year: 2008

Type: article

Abstract: In the framework of noisy quantum homodyne tomography with efficiency parameter 0 < η ⩽ 1, we propose two estimators of a quantum state whose density matrix elements ρ m , n decrease as , for fixed known B > 0 and 0 < r ⩽ 2. The first procedure estimates the matrix coefficients by a projection method on the pattern functions (that we introduce here for 0 < η ⩽ 1/2), the second procedure is a kernel estimator of the associated Wigner function. We compute the convergence rates of these estimators, in risk.

Source: Inverse Problems

DOI: 10.1088/0266-5611/25/1/015003

Authors: Jean-Marie Aubry, Cristina Butucea, Katia Meziani

Institutions: Centre National de la Recherche Scientifique, Université Paris-Est Créteil, Laboratoire d’Analyse et de Mathématiques Appliquées, Laboratoire Paul Painlevé, Université Lille 1, Laboratoire de Probabilités et Modèles Aléatoires

Language: English

Topic: Quantum Information and Cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: bronze

OpenAlex ID: W2028506089

FWCI: 1.056

Cites: 23

Cited by: 13

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