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Introduction
============

Photons serve as excellent information carriers due to their low decoherence and weak interactions with matter. The creation of high-dimensional (entangled) photon states, such as tripartite Greenberger-Horne-Zeilinger-states (GHZ) [@Greenberger1990], is desirable for proving deterministically the non-classical nature of quantum physics as a complete theory [@Einstein1935], but it requires sophisticated quantum technologies to do so [@Shalm2015; @Giustina2015].

Many recent developments in quantum optics build on the benefits of robust and compact integrated circuits as parts of complex quantum networks. Integrated devices with multiple functionalities have been successfully demonstrated, e. g., in the fields of photon 