123 citations · 527 across the 30 of their papers we have counts for
31 papers
Projected Least-Squares Quantum Process Tomography
Trystan Surawy-Stepney, Jonas Kahn, Richard Kueng +1
We propose and investigate a new method of quantum process tomography (QPT) which we call projected least squares (PLS). In short, PLS consists of first computing the least-squares…
Sampling Rates for -Synthesis
Maximilian März, Claire Boyer, Jonas Kahn +1
This work investigates the problem of signal recovery from undersampled noisy sub-Gaussian measurements under the assumption of a synthesis-based sparsity model. Solving the $\ell^…
Approximation of curves with piecewise constant or piecewise linear functions
Frédéric de Gournay, Jonas Kahn, Léo Lebrat
In this paper we compute the Hausdorff distance between sets of continuous curves and sets of piecewise constant or linear discretizations. These sets are Sobolev balls given by th…
Fast state tomography with optimal error bounds
Madalin Guta, Jonas Kahn, Richard Kueng +1
Projected least squares (PLS) is an intuitive and numerically cheap technique for quantum state tomography. The method first computes the least-squares estimator (or a linear inver…
3/4-discrete optimal transport
Frédéric de Gournay, Jonas Kahn, Léo Lebrat
This paper deals with the 3/4-discrete 2-Wasserstein optimal transport between two measures, where one is supported by a set of segment and the other one is supported by a set of D…
Optimal Transport Approximation of 2-Dimensional Measures
Frédéric de Gournay, Jonas Kahn, Léo Lebrat +1
We propose a fast and scalable algorithm to project a given density on a set of structured measures defined over a compact 2D domain. The measures can be discrete or supported on c…