Photon-mediated interactions between atomic systems are the cornerstone of quantum information transfer. They can arise via coupling to a common electromagnetic mode or by quantum interference. This can manifest in cooperative light-matter coupling, yielding collective rate enhancements such as those at the heart of superradiance, or remote entanglement via measurement-induced path erasure. Here, we report coherent control of cooperative emission arising from two distant but indistinguishable solid-state emitters due to path erasure. The primary signature of cooperative emission, the emergence of bunching at zero-delay in an intensity correlation experiment, is used to characterise the indistinguishability of the emitters, their dephasing, and the degree of correlation in the joint system which can be coherently controlled. In a stark departure from a pair of uncorrelated emitters, we observe photon statistics resembling that of a weak coherent state in Hong-Ou-Mandel type interference measurements. Our experiments establish new techniques to control and characterize cooperative behaviour between matter qubits using the full quantum optics toolbox, a key stepping stone on the route to realising large-scale quantum photonic networks.
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