Electromotive force in driven topological quantum circuits
arXiv:2204.05087 · doi:10.1103/PhysRevB.106.035430
Abstract
Time-dependent control of superconducting quantum circuits is a prerequisite for building scalable quantum hardware. The quantum description of these circuits is complicated due to the electromotive force (emf) induced by time-varying magnetic fields. Here, we examine how the emf modifies the fractional Josephson effect. We show that a time-varying flux introduces a new term that depends on the geometry of both the circuit and the applied magnetic field. This term can be probed via current and charge measurements in closed-loop and open-circuit geometries. Our results refine the current understanding of how to properly describe time-dependent control of topological quantum circuits.
arXiv comment13 pages, 5 figures; added appendix C, added acknowledgments, improved overall flow, results and figures unchanged
References in corpus (30)
- Fault-tolerant quantum computation by anyons
- Supplementary information for "Quantum supremacy using a programmable superconducting processor"
- Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
- Unpaired Majorana fermions in quantum wires
- Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
- Helical liquids and Majorana bound states in quantum wires
- Cavity quantum electrodynamics for superconducting electrical circuits: an architecture for quantum computation
- New directions in the pursuit of Majorana fermions in solid state systems
- Circuit Quantum Electrodynamics
- Topological superconductors: a review
- Superconducting Qubits: Current State of Play
- Strong quantum computational advantage using a superconducting quantum processor
- Josephson Current and Noise at a Superconductor-Quantum Spin Hall Insulator-Superconductor Junction
- Introduction to topological superconductivity and Majorana fermions
- Majorana fermions in chains of magnetic atoms on a superconductor
- Quantum information processing with circuit quantum electrodynamics
- Topological superconducting phase in helical Shiba chains
- Flux-controlled quantum computation with Majorana fermions
- Coulomb-assisted braiding of Majorana fermions in a Josephson junction array
- Introduction to Quantum Electromagnetic Circuits
- Topological Superconductivity in a Planar Josephson Junction
- Two-dimensional platform for networks of Majorana bound states
- Multi-level quantum description of decoherence in superconducting qubits
- Direct Dispersive Monitoring of Charge Parity in Offset-Charge-Sensitive Transmons
- Circuit quantization in the presence of time-dependent external flux
- Anomalous Charge Noise in Superconducting Qubits
- Dual approach to circuit quantization using loop charges
- Hysteresis from nonlinear dynamics of Majorana modes in topological Josephson junctions
- Majorana-induced DC Shapiro steps in topological Josephson junctions
- Dissipation by normal-metal traps in transmon qubits