Entanglement and nonclassicality in four-mode Gaussian states generated via parametric down-conversion and frequency up-conversion
Ievgen I. Arkhipov, Jan Pe\v{r}ina Jr., Ond\v{r}ej Haderka, Alessia, Allevi, Maria Bondani

TL;DR
This paper investigates the generation and transfer of multipartite entanglement and nonclassicality in four-mode Gaussian states produced by simultaneous parametric down-conversion and frequency up-conversion, identifying conditions for high entanglement.
Contribution
It introduces conditions for generating highly entangled four-mode Gaussian states and demonstrates entanglement transfer between modes, providing new insights into nonclassical correlations.
Findings
Conditions for highly entangled states identified
Entanglement transfer between down- and up-converted modes suggested
Sub-shot-noise intensity correlations serve as entanglement indicators
Abstract
Multipartite entanglement and nonclassicality of four-mode Gaussian states generated in two simultaneous nonlinear processes involving parametric down-conversion and frequency up-conversion are analyzed assuming the vacuum as the initial state. Suitable conditions for the generation of highly entangled states are found. Transfer of the entanglement from the down-converted modes into the up-converted ones is also suggested. The analysis of the whole set of states reveals that sub-shot-noise intensity correlations between the equally-populated down-converted modes, as well as the equally-populated up-converted modes, uniquely identify entangled states. They represent a powerful entanglement identifier also in other cases with arbitrarily populated modes.
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