Continuous-variable spatio-spectral quantum networks in nonlinear photonic lattices

Multiplexing information in different degrees of freedom and use of integrated and fiber-optic components are natural solutions to the scalability bottleneck in optical quantum communications and computing. However, for bulk-optics systems, where size, cost, stability, and reliability are factors, this remains either impractical or highly challenging to implement. In this paper we present a framework to engineer continuous-variable entanglement produced through nondegenerate spontaneous parametric down-conversion in \chi^(2) nonlinear photonic lattices in spatial and spectral degrees of freedom that can solve the scalability challenge. We show how spatio-spectral pump shaping produce cluster states that are naturally distributable in quantum communication networks and a resource for measurement-based quantum computing.