Tripartite Genuine Non-Gaussian Entanglement in Three-Mode Spontaneous Parametric Down-Conversion
Journal article, 2020

We show that the states generated by a three-mode spontaneous parametric down-conversion (SPDC) interaction Hamiltonian possess tripartite entanglement of a different nature to other paradigmatic three-mode entangled states generated by the combination of two-mode SPDC interactions. While two-mode SPDC generates Gaussian states whose entanglement can be characterized by standard criteria based on two-mode quantum correlations, these criteria fail to capture the entanglement generated by three-mode SPDC. We use criteria built from three-mode correlation functions to show that the class of states recently generated in a superconducting-circuit implementation of three-mode SPDC ideally have tripartite entanglement, contrary to recent claims in the literature. These criteria are suitable for triple SPDC but we show that they fail to detect tripartite entanglement in other states which are known to possess it, which illustrates the existence of two fundamentally different notions of tripartite entanglement in three-mode continuous-variable systems.


A. Agustí

CSIC - Instituto de Fisica Fundamental (IFF)

C. W. S. Chang

University of Waterloo

Isaac Fernando Quijandria Diaz

Chalmers, Microtechnology and Nanoscience (MC2), Applied Quantum Physics

Göran Johansson

Chalmers, Microtechnology and Nanoscience (MC2), Applied Quantum Physics

Christopher Wilson

University of Waterloo

C. Sabín

CSIC - Instituto de Fisica Fundamental (IFF)

Physical Review Letters

0031-9007 (ISSN) 1079-7114 (eISSN)

Vol. 125 2 020503

Subject Categories

Atom and Molecular Physics and Optics

Other Physics Topics

Condensed Matter Physics



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