Circuits are provided that create entanglement among qubits having Gottesman-Kitaev-Preskill (GKP) encoding using photonic systems and structures. For example, networks of beam splitters and homodyne measurement circuits can be used to perform projective entangling measurements on GKP qubits from different quantum systems. In some embodiments. GKP qubits can be used to implement quantum computations using fusion-based quantum computing or other fault-tolerant quantum computing approaches.