"Multimode Quantum Optics in Nonlinear Superconducting Circuits"
Superconducting quantum circuits are powerful platforms for multi-mode quantum optics due to their simple engineering, established fabrication processes, and well-developed measurement methods. In this study, we explore the dynamics and interactions of travelling as well as standing microwaves, emphasizing the interaction of modes through various coupling methods.
First, by numerical simulations, we analyse the behaviour of boson sampling with superconducting circuits, and after describing effects of decoherence, we estimate the behaviour of the proposed system as an interferometer . Next, we experimentally exploit the nonlinear kinetic inductance of superconducting tungsten-silicide to implement parametric amplification  and for itinerant wave-mixing in compact devices, e.g. in a Fabry-Perot interferometer and in a square-lattice of resonance sites .
 Goldstein, Samuel, et al. "Decoherence and interferometric sensitivity of boson sampling in superconducting resonator networks." Physical Review B 95.2 (2017): 020502.
 Goldstein, Samuel, et al. "Four wave-mixing in a microstrip kinetic inductance travelling wave parametric amplifier." Applied Physics Letters 116.15 (2020): 152602.
 Goldstein, Samuel, et al. "Compact Itinerant Microwave Photonics with Superconducting High-Kinetic Inductance Microstrips." arXiv preprint arXiv:2106.15951 (2021) – submitted to PRL, June 2021.