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Configurable and scalable continuous variable quantum networks formeasurement-based quantum information protocols or multipartite quantumcommunication schemes can be obtained via parametric down conversion (PDC) innon-linear waveguides. In this work, we exploit symmetric group velocitymatching (SGVM) to engineer the properties of the squeezed modes of the PDC. Weidentify type II PDC in a single waveguide as the best suited process, sincemultiple modes with non-negligible amount of squeezing can be obtained. Weexplore, for the first time, the waveguide dimensions, usually only set toensure single-mode guiding, as an additional design parameter ensuringindistinguishability of the signal and idler fields. We investigate herepotassium titanyl phosphate (KTP), which offers SGVM at telecommunicationswavelengths, but our approach can be applied to any non-linear material andpump wavelength. This work paves the way towards the engineering of futurelarge-scale quantum networks in the continuous variable regime.

Continuous variable multimode quantum states via symmetric group velocity matching