  Recent proof-of-principle experiments have demonstrated the implementation of
neuromorphic computing using exciton-polaritons, making use of coherent
classical states [D. Ballarini et al., Nano Lett. 20, 3506 (2020)]. At the same
time, it is expected that nonlinear exciton-polaritons can reach a quantum
regime forming non-classical states. Here we consider theoretically the quantum
nature of exciton polaritons and predict a superpolynomial quantum enhancement
in image recognition tasks. This is achieved within experimentally accessible
parameters.
