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 …

Some details on the covariant measurement and the random variable generated by it are
discussed in Appendix A. 1. A comparison with the classical Gaussian sequence model can …

Adaptive estimation of the density matrix in quantum homodyne tomography with noisy data -
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Adaptive sup-norm estimation of the Wigner function in noisy quantum homodyne tomography
Page 1 The Annals of Statistics 2018, Vol. 46, No. 3, 1318–1351 https://doi.org/10.1214/17-AOS1586 …

In quantum optics, the quantum state of a light beam is represented through the Wigner
function, a density on $\mathbb R^ 2$ which may take negative values but must respect …

We estimate the quantum state of a light beam from results of quantum homodyne
tomography noisy measurements performed on identically prepared quantum systems. We …

Recent breakthroughs in quantum technology, suchas quantum computing, communication,
and metrology have given rise to questions related to quantum measurements which can be …

This dissertation deals with Bayesian nonparametric statistics, in particular nonparametric
mixture models. The manuscript is divided into a general introduction and three parts on …

In the framework of noisy quantum homodyne tomography with efficiency parameter 0< η≤
1, in this chapter an estimator of the density matrix of a quantum state ρ is proposed, whose …

“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 ρm, n …