Regular Article

Efficient quantum tomography of two-mode Wigner functions

Departamento de Física – ICEx – Universidade Federal de Minas Gerais, Av. Pres. Antônio Carlos 6627, Belo Horizonte, MG 31270-901, Brazil

^a e-mail: lasb@ufmg.br

Received: 27 December 2019
Published online: 1 March 2020

Abstract

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.