Tripartite entanglement in parametric down-conversion with spatially-structured pump
D. Daems, F. Bernard, N. J. Cerf, M. I. Kolobov

TL;DR
This paper proposes a simple model for generating tripartite spatial entanglement via parametric down-conversion with symmetrically-tilted pump waves, extending to 2N+1 modes and enabling entanglement localization.
Contribution
It introduces a novel scheme for creating and analyzing multipartite spatial entanglement using structured pump beams in parametric down-conversion.
Findings
Tripartite entanglement can be generated between spatial modes.
The scheme can be extended to 2N+1 modes with symmetric pump waves.
Entanglement localization in two spatial modes is possible.
Abstract
Most investigations of multipartite entanglement have been concerned with temporal modes of the electromagnetic field, and have neglected its spatial structure. We present a simple model which allows to generate tripartite entanglement between spatial modes by parametric down-conversion with two symmetrically-tilted plane waves serving as a pump. The characteristics of this entanglement are investigated. We also discuss the generalization of our scheme to 2N+1-partite entanglement using 2N symmetrically-tilted plane pump waves. Another interesting feature is the possibility of entanglement localization in just two spatial modes.
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