Symmetries and collective excitations in large superconducting circuits

Abstract

The intriguing appeal of circuits lies in their modularity and ease of fabrication. Based on a toolbox of simple building blocks, circuits present a powerful framework for achieving new functionality by combining circuit elements into larger networks. It is an open question to what degree modularity also holds for quantum circuits -- circuits made of superconducting material, in which electric voltages and currents are governed by the laws of quantum physics. If realizable, quantum coherence in larger circuit networks has great potential for advances in quantum information processing including topological protection from decoherence. Here, we present theory suitable for quantitative modeling of such large circuits and discuss its application to the fluxonium device. Our approach makes use of approximate symmetries exhibited by the circuit, and enables us to obtain new predictions for the energy spectrum of the fluxonium device which can be tested with current experimental technology.

References in corpus (4)

• Implementation of low-loss superinductances for quantum circuits
• Quantum Superinductor with Tunable Non-Linearity
• Measurement of the Current-Phase Relation in Josephson Junctions Rhombi Chains
• Dissipation, topology, and quantum phase transition in a one-dimensional Joesphson junction array

Cited by in corpus (8)

• Topology-dependent quantum dynamics and entanglement-dependent topological pumping in superconducting qubit chains
• Coherent dynamics in long fluxonium qubits
• The parity effect in Josephson junction arrays
• Dephasing due to quasiparticle tunneling in fluxonium qubits: a phenomenological approach
• Microwave-activated gates between a fluxonium and a transmon qubit
• Impact of Josephson junction array modes on fluxonium readout
• The quartic Blochnium: an anharmonic quasicharge superconducting qubit
• Exact amplitudes of parametric processes in driven Josephson circuits