Non-classical optimization of entangled photons through complex media

Optimization approaches are ubiquitous in physics. In optics, they are key to manipulating light through complex media, enabling applications ranging from imaging to photonic simulators. In most demonstrations, however, the optimization process is implemented using classical coherent light, leading to a purely classical solution. Here we introduce the concept of optical non-classical optimization in complex media. We experimentally demonstrate the control and refocusing of non-classical light -- namely, entangled photon pairs -- through a scattering medium by directly optimizing the output coincidence rate. The optimal solutions found with this approach differ from those obtained using classical optimization, a result of entanglement in the input state. Beyond imaging, this genuinely non-classical optimization method has potential to tackle complex problems, as we show by simulating a spin-glass model with multi-spin interactions.