Entanglement quasiprobabilities of squeezed light

TL;DR

This paper shows how to fully characterize entanglement in squeezed light using quasiprobabilities, solving a complex mathematical problem for a non-Gaussian state undergoing dephasing, relevant for quantum optics experiments.

Contribution

It introduces a method to determine entanglement via quasiprobabilities by solving the separability eigenvalue problem for a non-Gaussian state.

Findings

Successfully characterized entanglement in a dephased two-mode squeezed state.

Demonstrated the feasibility of using quasiprobabilities for entanglement detection.

Provided a mathematical framework applicable to quantum optics experiments.

Abstract

We demonstrate the feasibility to completely characterize entanglement by negativities of quasiprobabilities. This requires the complete solution of a sophisticated mathematical problem, the so-called separability eigenvalue problem. Its solution is obtained for a non-Gaussian continuous variable quantum state, a two-mode squeezed state undergoing dephasing. This is a standard scenario for experiments with quantum-correlated radiation fields.