Finite bandwidth gyrator on GKP-encoding circuit

Rymarz et al. proposed a construction of a superconducting circuit whose ground states are the codewords of the GKP code. This was done by utilizing a non-reciprocal circuit element known as the gyrator. In this work, we will build on this work by implementing a finite bandwidth gyrator based on an impedance model built from temporal coupled-mode theory. We then study its effects on the ground states of the circuit Hamiltonian.