“…Such superpositions, in the form of mixed quasiparticles of photons and excitons [46,47], are characterized by excellent photon-mediated transport properties and strong exciton-mediated interactions [48,49]. Their unique properties led to the discovery of remarkable phenomena, including nonequilibrium Bose-Einstein condensation [47,50], superfluidlike states [51,52], interactions of quantum defects [53][54][55], lasing of topological edge states [56,57], as well as demonstration of polariton transistors and switches [49,[58][59][60][61][62], gates [31,63], neurons [64,65], simulators [66], and nonlinear phenomena at the femtojoule level [48,49]. In our proof-of-principle neural network implementations, both photonic and electronic layers are used, but the latter performed linear operations only.…”