Symmetries and collective excitations in large superconducting circuits
arXiv:1208.5747 · doi:10.1103/PhysRevX.3.011003
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 (22)
- Quantum state engineering with Josephson-junction devices
- Coherent control of macroscopic quantum states in a single-Cooper-pair box
- Observation of high coherence in Josephson junction qubits measured in a three-dimensional circuit QED architecture
- Fluxonium: single Cooper pair circuit free of charge offsets
- Relaxation and frequency shifts induced by quasiparticles in superconducting qubits
- Persistent current in superconducting nanorings
- Implementation of low-loss superinductances for quantum circuits
- Topologically protected quantum bits from Josephson junction arrays
- Superconducting Nanocircuits for Topologically Protected Qubits
- Multi-level quantum description of decoherence in superconducting qubits
- Evidence for coherent quantum phase-slips across a Josephson junction array
- New quantum phases in a one-dimensional Josephson array
- Quantum Superinductor with Tunable Non-Linearity
- Charging effects in the inductively shunted Josephson junction
- Measurement of the effect of quantum phase-slips in a Josephson Junction chain
- Charge Solitons in 1-D Arrays of Serially Coupled Josephson Junctions
- Measurement of the Current-Phase Relation in Josephson Junctions Rhombi Chains
- Quantum Phase Transitions in Josephson Junction Chains
- Interference effects in isolated Josephson junction arrays with geometric symmetries
- Dissipation, topology, and quantum phase transition in a one-dimensional Joesphson junction array
- One-dimensional Josephson arrays as superlattices for single Cooper pairs
- Charge solitons and their dynamical mass in 1-D arrays of Josephson junctions
Cited by in corpus (19)
- The high-coherence fluxonium qubit
- Nanowire Superinductance Fluxonium Qubit
- Quantifying high dimensional entanglement with two mutually unbiased bases
- Quantization of inductively-shunted superconducting circuits
- Understanding degenerate ground states of a protected quantum circuit in the presence of disorder
- Quantum Phase Slips in one-dimensional Josephson Junction Chains
- Collective modes in the fluxonium qubit
- Topology-dependent quantum dynamics and entanglement-dependent topological pumping in superconducting qubit chains
- Right-sizing fluxonium against charge noise
- Entangling two defects via a surrounding crystal
- Coherent dynamics in long fluxonium qubits
- Asymptotic Expressions for Charge Matrix Elements of the Fluxonium Circuit
- The parity effect in Josephson junction arrays
- Quantum reservoirs with ion chains
- 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