Constructing local models for general measurements on bosonic Gaussian states

Abstract

We derive a simple sufficient criterion for the locality of correlations obtained from given measurements on a Gaussian quantum state. The criterion is based on the construction of a local-hidden-variable model which works by passing part of the inherent Gaussian noise of the state onto the measurements. We illustrate our result in the setting of displaced photodetection on a two-mode squeezed state. Here, our criterion exhibits the existence of a local-hidden-variable model for a range of parameters where the state is still entangled.

v1: 6 pages, 2 figures. v2: Minor corrections to previous version. v3: Typos corrected in the definitions of Fock-state Wigner functions

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