“…Optical signal processing techniques employ a wide range of devices and various nonlinearities to achieve multiple network functionalities. Widely used functionalities demonstrated in nonlinear photonic circuits (PICs) include wavelength [ 31 , 32 , 33 , 34 , 35 ] and format conversions [ 36 , 37 ], routing [ 38 , 39 ], phase-sensitive amplification [ 40 ], optical multiplexing and demultiplexing [ 41 , 42 , 43 , 44 , 45 ], optical memory [ 46 , 47 ], all-optical tunable delay [ 48 , 49 ], and signal regeneration [ 50 , 51 ]. Thus far, most of the existing OSP research has relied on third-order nonlinearities, such as four-wave mixing (FWM), self-phase modulation (SPM), and cross-phase modulation (XPM) [ 52 , 53 , 54 , 55 , 56 , 57 , 58 , 59 ].…”