The scattering coefficients of superconducting microwave resonators: I. Transfer-matrix approach
arXiv:2109.07762 · doi:10.1103/PhysRevB.106.214505
Abstract
We describe a unified classical approach for analyzing the scattering coefficients of superconducting microwave resonators with a variety of geometries. To fill the gap between experiment and theory, we also consider the influences of small circuit asymmetry and the finite length of the feedlines, and describe a procedure to correct them in typical measurement results. We show that, similar to the transmission coefficient of a hanger-type resonator, the reflection coefficient of a necklace- or bridge-type resonator does also contain a reference point which can be used to characterize the electrical properties of a microwave resonator in a single step. Our results provide a comprehensive understanding of superconducting microwave resonators from the design concepts to the characterization details.
References in corpus (61)
- Coupling Superconducting Qubits via a Cavity Bus
- Microwave photonics with superconducting quantum circuits
- Demonstration of Two-Qubit Algorithms with a Superconducting Quantum Processor
- Observation of high coherence in Josephson junction qubits measured in a three-dimensional circuit QED architecture
- Coherent Josephson qubit suitable for scalable quantum integrated circuits
- Coherent quantum state storage and transfer between two phase qubits via a resonant cavity
- Approaching Unit Visibility for Control of a Superconducting Qubit with Dispersive Readout
- Superconducting qubit in waveguide cavity with coherence time approaching 0.1ms
- Preparation and Measurement of Three-Qubit Entanglement in a Superconducting Circuit
- Qubit architecture with high coherence and fast tunable coupling
- AC-Stark Shift and Dephasing of a Superconducting Qubit Strongly Coupled to a Cavity Field
- Planar Superconducting Resonators with Internal Quality Factors above One Million
- A simple all-microwave entangling gate for fixed-frequency superconducting qubits
- 10-qubit entanglement and parallel logic operations with a superconducting circuit
- Fast Scalable State Measurement with Superconducting Qubits
- Complete universal quantum gate set approaching fault-tolerant thresholds with superconducting qubits
- A quantum memory with near-millisecond coherence in circuit QED
- Observation of multi-component atomic Schrödinger cat states of up to 20 qubits
- Coplanar Waveguide Resonators for Circuit Quantum Electrodynamics
- A Dissipatively Stabilized Mott Insulator of Photons
- Repeated Quantum Error Detection in a Surface Code
- Efficient and robust analysis of complex scattering data under noise in microwave resonators
- Measurement of Resonant Frequency and Quality Factor of Microwave Resonators: Comparison of Methods
- An analysis method for asymmetric resonator transmission applied to superconducting devices
- Microwave Dielectric Loss at Single Photon Energies and milliKelvin Temperatures
- Materials loss measurements using superconducting microwave resonators
- Reducing intrinsic loss in superconducting resonators by surface treatment and deep etching of silicon substrates
- Suppression of Qubit Crosstalk in a Tunable Coupling Superconducting Circuit
- Fabrication and characterization of superconducting circuit QED devices for quantum computation
- Study of loss in superconducting coplanar waveguide resonators
- Reaching 10 ms single photon lifetimes for superconducting aluminum cavities
- Controlled catch and release of microwave photon states
- Dynamic quantum Kerr effect in circuit quantum electrodynamics
- Noise Properties of Superconducting Coplanar Waveguide Microwave Resonators
- Three-dimensional superconducting resonators at mK with the photon lifetime up to seconds
- Microwave response of vortices in superconducting thin films of Re and Al
- Observation of energy resolved many-body localization
- Ultra-high quality factors in superconducting niobium cavities in ambient magnetic fields up to 190 mG
- Generation and controllable switching of superradiant and subradiant states in a 10-qubit superconducting circuit
- Improving the Quality Factor of Microwave Compact Resonators by Optimizing their Geometrical Parameters
- Realizing a Deterministic Source of Multipartite-Entangled Photonic Qubits
- Improving the Performance of Deep Quantum Optimization Algorithms with Continuous Gate Sets
- Seamless high-Q microwave cavities for multimode circuit QED
- High coherence superconducting microwave cavities with indium bump bonding
- Loss mechanisms in superconducting thin film microwave resonators
- Reducing microwave loss in superconducting resonators due to trapped vortices
- In-situ Broadband Cryogenic Calibration for Two-port Superconducting Microwave Resonators
- High Quality 3-Dimensional Aluminum Microwave Cavities
- Photon Statistics of Propagating Thermal Microwaves
- A long-lived capacitively shunted flux qubit embedded in a 3D cavity
- Planar multilayer circuit quantum electrodynamics
- Strongly quadrature-dependent noise in superconducting micro-resonators measured at the vacuum-noise limit
- Catch-Disperse-Release Readout for Superconducting Qubits
- Mode Structure in Superconducting Metamaterial Transmission Line Resonators
- An analysis method for transmission measurements of superconducting resonators with applications to quantum-regime dielectric-loss measurements
- Planar Superconducting Whispering Gallery Mode Resonators
- Analysis and calibration techniques for superconducting resonators
- Compact 3D quantum memory
- Parity-Engineered Light-Matter Interaction
- In-situ tunable nonlinearity and competing signal paths in coupled superconducting resonators
- The scattering coefficients of superconducting microwave resonators: II. System-bath approach
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