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We propose and fully analyze the simplest technique to date to generatelight-based universal quantum computing resources, namely 2D, 3D and, ingeneral, n-hypercubic cluster states. The technique uses two standard opticalcomponents: first, a single optical parametric oscillator pumped belowthreshold by a monochromatic field, which generates Einstein-Podolsky-Rosenentangled states, a.k.a. two-mode-squeezed states, over the quantum opticalfrequency comb; second, phase modulation at frequencies multiple of the combspacing (via RF or optical means). The unprecedented compactness of thistechnique paves the way to implementing quantum computing on chip using quantumnanophotonics.

Hypercubic cluster states in the phase modulated quantum optical frequency comb