Quantifying Tripartite Spatial and Energy-Time Entanglement in Nonlinear Optics

In this work, we provide a means to quantify genuine tripartite entanglement in arbitrary (pure and mixed) continuous-variable states as measured by the Tripartite Entanglement of formation -- a resource-based measure quantifying genuine multi-partite entanglement in units of elementary Greenberger-...

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Bibliographic Details
Published in:arXiv.org 2022-06
Main Authors: Schneeloch, James, Birrittella, Richard J, Tison, Christopher C, Howland, Gregory A, Fanto, Michael L, Alsing, Paul M
Format: Article
Language:English
Subjects:
Continuity (mathematics)
Entanglement
Nonlinear optics
Online Access:Get full text
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Summary:In this work, we provide a means to quantify genuine tripartite entanglement in arbitrary (pure and mixed) continuous-variable states as measured by the Tripartite Entanglement of formation -- a resource-based measure quantifying genuine multi-partite entanglement in units of elementary Greenberger-Horne-Zeilinger (GHZ) states called gebits. Furthermore, we predict its effectiveness in quantifying the tripartite spatial and energy-time entanglement in photon triplets generated in cascaded spontaneous parametric down-conversion (SPDC), and find that ordinary nonlinear optics can be a substantial resource of tripartite entanglement.
ISSN:2331-8422
DOI:10.48550/arxiv.2110.06781