Interference on thin-film and metamaterial absorbers enables coherent control and processing of quantum light. Recently, this phenomenon was used to demonstrate deterministic control of photon absorption probability, quantum states filtering, anti-Hong-Ou-Mandel interference, and application of geometric (Berry) phase for remote control of light dissipation. Here, we expand these ideas by introducing the regime of distributed coherent absorption where light quanta are absorbed within spatially separated active layers. We show that this scheme allows photon number discriminating detection free from the limitations of conventional temporal and spatial multiplication approaches. Free space and integrated designs are discussed.
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