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arXiv · 2110.06781

Quantifying Tripartite Spatial and Energy-Time Entanglement in Nonlinear Optics

James Schneeloch·Richard J. Birrittella·Christopher C. Tison·Gregory A. Howland·Michael L. Fanto·Paul M. Alsing
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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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James Schneeloch, Richard J. Birrittella, Christopher C. Tison, Gregory A. Howland, Michael L. Fanto, Paul M. Alsing. 2021-10-13. Quantifying Tripartite Spatial and Energy-Time Entanglement in Nonlinear Optics. https://doi.org/10.1103/physrevresearch.4.023153

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