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Updated: Jan 17, 2026

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
Published on: May 30, 2014
Quantifying Two-Mode Entanglement of Bosonic Gaussian States from Their Full Counting Statistics
Victor Gondret1, Clothilde Lamirault1, Rui Dias1
1Laboratoire Charles Fabry, CNRS, Institut d'Optique Graduate School, Université Paris-Saclay, 91127 Palaiseau, France.
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.
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