Hierarchy of Genuine Tripartite Non-Gaussian Entanglement
- URL: http://arxiv.org/abs/2205.11940v2
- Date: Sat, 1 Oct 2022 01:00:59 GMT
- Title: Hierarchy of Genuine Tripartite Non-Gaussian Entanglement
- Authors: Da Zhang, David Barral, Yanpeng Zhang, Min Xiao, and Kamel Bencheikh
- Abstract summary: Triple-photon states generated by three-mode spontaneous parametric down-conversion are the paradigm of unconditional non-Gaussian states.
We propose a hierarchy of sufficient and necessary conditions for separability of spontaneously-generated three-mode non-Gaussian states.
We apply our criteria to triple-photon states revealing that they are fully inseparable and genuinely entangled in moments of order 3n.
- Score: 2.9798142048357703
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Triple-photon states generated by three-mode spontaneous parametric
down-conversion are the paradigm of unconditional non-Gaussian states,
essential assets for quantum advantage. How to fully characterize their
non-Gaussian entanglement remains however elusive. We propose here a hierarchy
of sufficient and necessary conditions for separability of the broad family of
spontaneously-generated three-mode non-Gaussian states. We further derive
state-of-the-art conditions for genuine tripartite non-Gaussian entanglement,
the strongest class of entanglement. We apply our criteria to triple-photon
states revealing that they are fully inseparable and genuinely entangled in
moments of order 3n. Our results establish a systematic framework for
characterizing the entanglement of triple-photon states and thus fostering
their application in quantum information protocols.
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