We introduce an efficient method to reconstruct the Wigner function of many-mode continuous variable systems. It is based on convex optimization with semidefinite programs, and also includes a version of the maximum entropy principle, in order to yield unbiased states. A key ingredient of the proposed approach is the representation of the state in a truncated Fock basis. As a bonus, the discrete finite representation allows to easily quantify the entanglement.
@article{arxiv.1912.12222,
title = {Efficient Quantum Tomography of Two-Mode Wigner Functions},
author = {Ludmila A. S. Botelho and Reinaldo O. Vianna},
journal= {arXiv preprint arXiv:1912.12222},
year = {2020}
}