Heralded processes on continuous-variable spaces as quantum maps
Abstract
Conditional evolution is crucial for generating non-Gaussian resources for quantum information tasks in the continuous variable scenario. However, tools are lacking for a convenient representation of heralded process in terms of quantum maps for continuous variable states, in the same way as Wigner functions are able to give a compact description of the quantum state. Here we propose and study such a representation, based on the introduction of a suitable transfer function to describe the action of a quantum operation on the Wigner function. We also reconstruct the maps of two relevant examples of conditional process, that is, noiseless amplification and photon addition, by combining experimental data and a detailed physical model. This analysis allows to fully characterize the effect of experimental imperfections in their implementations.
Cite
@article{arxiv.1205.6195,
title = {Heralded processes on continuous-variable spaces as quantum maps},
author = {Franck Ferreyrol and Nicolò Spagnolo and Rémi Blandino and Marco Barbieri and Rosa Tualle-Brouri},
journal= {arXiv preprint arXiv:1205.6195},
year = {2013}
}
Comments
9 pages, 8 figures. Minor changes