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Multipartite entanglement is a key resource for various quantum information tasks. Here, we present multiple schemes for multimode entanglement and squeezing via nonlinear optical processes. We define a new "coupled three-mode squeezed vacuum" state. Non-intuitive behaviors arise in intensity squeezing between two of the three output modes due to the coupling. We also show that this state can be genuinely tripartite entangled, and extend the work to a four-mode output system.
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Ryan T. Glasser, Wenlei Zhang, Erin M. Knutson, Sara K. Wyllie, Jonathan S. Cross, Onur Danaci, "Multimode squeezed light and coupled squeezed vacuum (Conference Presentation)," Proc. SPIE 11296, Optical, Opto-Atomic, and Entanglement-Enhanced Precision Metrology II, 112962T (9 March 2020); https://doi.org/10.1117/12.2552673