Computer-aided quantization and numerical analysis of superconducting circuits

Abstract

The development of new superconducting circuits and the improvement of existing ones rely on the accurate modeling of spectral properties which are key to achieving the needed advances in qubit performance. Systematic circuit analysis at the lumped-element level, starting from a circuit network and culminating in a Hamiltonian appropriately describing the quantum properties of the circuit, is a well-established procedure, yet cumbersome to carry out manually for larger circuits. We present work utilizing symbolic computer algebra and numerical diagonalization routines versatile enough to tackle a variety of circuits. Results from this work are accessible through a newly released module of the scqubits package.

Effects of strong capacitive coupling between meta-atoms in rf SQUID metamaterials

“…Our rf SQUID metamaterials differ in that multiple coupling capacitors are included, creating a highly integrated network of both capacitive and inductive coupling between all of the SQUIDs. We note that the effects of both capacitive and inductive coupling between rf SQUIDs has been considered as a step in deriving the quantum Hamiltonian of arrays of interacting qubits [70,71]. For the flux qubits, the nearest-neighbor inductive coupling can be adjusted by introducing an intermediary SQUID between the qubits to be coupled, whose properties are tuned by a local magnetic flux [72][73][74][75].…”