Is it possible to create a network of entangled artificial atoms? This PhD project aims to engineer and probe photon-mediated interactions between multiple quantum emitters in a solid-state platform.   The project: At the heart of photonic quantum technologies are photon-photon interactions, achieved when two single-photon wave packets interfere at a beam splitter. Example applications include distribution of entanglement among independent quantum nodes or multiphoton boson sampling. This project aims to understand the fundamental limitations to the indistinguishability of a train of single photons from single solid-state quantum emitter and then extend this to single indistinguishable photons from multiple quantum emitters which can give rise to entangled multiparticle states referred to as Dicke states. These photon-mediated interactions between indistinguishable quantum emitters can lead to cooperative emission, superradiance, and remote entanglement of the atoms. Our goals are to investigate fundamental questions in condensed matter physics and quantum optics while implementing a technologically world-leading experiment to scale-up the number of quantum emitters which can be deterministically entangled. The PhD project will be integrated into a collaborative team led by Profs. Gerardot, Gauger, and Malik at Heriot-Watt University.