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Quantifying two-mode entanglement of bosonic Gaussian states from their full counting statistics

Quantum Physics 2025-09-09 v2 Quantum Gases

Abstract

We study the entanglement properties of two-mode bosonic Gaussian states based on their multi-mode counting statistics. We exploit the idea that measuring high-order correlations of particle numbers can reveal entanglement without making any assumptions about the coherence of the fields. We show that the two- and four-body number correlations are sufficient to fully characterize the entanglement of two-mode bosonic Gaussian states for which each mode exhibits a thermal distribution. In addition, we derive an entanglement witness based on two-body correlations alone. Our findings are of great importance because it becomes possible to reveal entanglement in a series of recent experiments.

Keywords

Cite

@article{arxiv.2503.09555,
  title  = {Quantifying two-mode entanglement of bosonic Gaussian states from their full counting statistics},
  author = {Victor Gondret and Clothilde Lamirault and Rui Dias and Charlie Leprince and Christoph I. Westbrook and David Clément and Denis Boiron},
  journal= {arXiv preprint arXiv:2503.09555},
  year   = {2025}
}

Comments

4+4 pages, accepted version