Quantifying Tripartite Spatial and Energy-Time Entanglement in Nonlinear Optics

• URL: http://arxiv.org/abs/2110.06781v2
• Date: Mon, 27 Jun 2022 14:20:35 GMT
• Title: Quantifying Tripartite Spatial and Energy-Time Entanglement in Nonlinear Optics
• Authors: James Schneeloch, Richard J. Birrittella, Christopher C. Tison, Gregory A. Howland, Michael L. Fanto, and Paul M. Alsing
• Abstract summary: We provide a means to quantify genuine tripartite entanglement in arbitrary continuous-variable states as measured by the Tripartite Entanglement of formation. We predict its effectiveness in quantifying the tripartite spatial and energy-time entanglement in photon triplets generated in cascaded spontaneous parametric down-conversion.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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