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We examine the tripartite entanglement properties of an optical system usinginterlinked $\chi^{(2)}$ interactions, recently studied experimentally in termsof its phase-matching properties by Bondani et al [M. Bondani, A. Allevi, E.Gevinti, A. Agliati, and A. Andreoni, arXiv:quant-ph/0604002.]. We show thatthe system does produce output modes which are genuinely tripartite entangledand that detection of this entanglement depends crucially on the correlationfunctions which are measured, with a three-mode Einstein-Podolsky-Roseninequality being the most sensitive.Comment: 15 pages, 5 figure

physical review. a, atomic, molecular, and optical physics/physical review, a, atomic, molecular, and optical physics

Asymmetric polychromatic tripartite entanglement from interlinked<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mi>χ</mml:mi><mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mn>2</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:msup></mml:mrow></mml:math>parametric interactions

Asymmetric polychromatic tripartite entanglement from interlinkedχ(2)parametric interactions