English

Constructing local models for general measurements on bosonic Gaussian states

Quantum Physics 2024-11-19 v3

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.

Keywords

Cite

@article{arxiv.2210.05474,
  title  = {Constructing local models for general measurements on bosonic Gaussian states},
  author = {Michael G. Jabbour and Jonatan Bohr Brask},
  journal= {arXiv preprint arXiv:2210.05474},
  year   = {2024}
}

Comments

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

R2 v1 2026-06-28T03:15:05.459Z