Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:0805.2818 · Applied Physics Letters

Magnetic field tuning of coplanar waveguide resonators

J. E. Healey, T. Lindström, M. S. Colclough, C. M. Muirhead, Alexander Ya. Tzalenchuk

Published Jul 28, 2008• 57 citations
arXivHTMLPDF

Abstract

We describe measurements on microwave coplanar resonators designed for quantum bit experiments. Resonators have been patterned onto sapphire and silicon substrates, and quality factors in excess of a million have been observed. The resonant frequency shows a high sensitivity to magnetic field applied perpendicular to the plane of the film, with a quadratic dependence for the fundamental, second, and third harmonics. Frequency shift of hundreds of linewidths can be obtained with no change in the quality factor.

DOI
10.1063/1.2959824

Related papers

Experiments to develop High Q and tunable superconducting coplanar resonators applicable for quantum bit technology

J E Healey

Measurements are made on superconducting Niobium on Sapphire and oxidized Silicon microwave coplanar resonators for quantum bit experiments. Device geometry and materials are investigated and quality factors in excess of a million have been observed. The resonant frequency as a function of temperature of a coplanar resonator is characterised in terms of the change in the number density of superconducting electrons. At lower temperatures, the resonant frequency no longer follows this function, and evidence is shown that this is associated with the resonant coupling of the resonant frequency with two level systems in the substrate. At T<2.2 K the resonant frequency scales logarithmically with the temperature, indicating that two level systems distributed in the volume of the Silicon Dioxide affect the electric permittivity. Applying higher input microwave power levels is shown to saturate these two level systems, essentially decoupling them from the CPR resonance. This is observed as an increase in resonant frequency and Q factor. The resonant frequency is also shown to have a high sensitivity to a magnetic field applied perpendicular to the plane of the coplanar resonator, with a quadratic dependence for the fundamental, second and third harmonics. Frequency shift of hundreds of linewidths are obtained. Coplanar resonator are fabricated and measured with current control lines built on chip, and these have shown to produce frequency shifts of tens of Kilohertz.

•Dec 16, 2010•1 citation

Properties of high-quality coplanar waveguide resonators for QIP and detector applications

T. Lindström, J E Healey, M. S. Colclough +3 more

We have fabricated and characterized λ/2 thin-film coplanar waveguide resonators made from niobium deposited on sapphire and SiO 2 /Si substrates. The samples have been characterized at temperatures down to 30 mK. In this work we discuss two important properties of these resonators: The tunability of the centre frequency using a weak applied magnetic field, and the RF-power dependence of the quality factor.

Journal of Physics Conference Series•Mar 1, 2009•1 citation

Planar superconducting resonators with internal quality factors above one million

A. Megrant, C. Neill, R. Barends +16 more

We describe the fabrication and measurement of microwave coplanar waveguide resonators with internal quality factors above 107 at high microwave powers and over 106 at low powers, with the best low power results approaching 2×106, corresponding to ∼1 photon in the resonator. These quality factors are achieved by controllably producing very smooth and clean interfaces between the resonators’ aluminum metallization and the underlying single crystal sapphire substrate. Additionally, we describe a method for analyzing the resonator microwave response, with which we can directly determine the internal quality factor and frequency of a resonator embedded in an imperfect measurement circuit.

arXiv:1201.3384•Applied Physics Letters•Mar 12, 2012•479 citations

Coplanar waveguide resonators for circuit quantum electrodynamics

M. Göppl, A. Fragner, Matthias Baur +7 more

High quality on-chip microwave resonators have recently found prominent new applications in quantum optics and quantum information processing experiments with superconducting electronic circuits, a field now known as circuit quantum electrodynamics (QED). They are also used as single photon detectors and parametric amplifiers. Here we analyze the physical properties of coplanar waveguide resonators and their relation to the materials properties for use in circuit QED. We have designed and fabricated resonators with fundamental frequencies from 2 to 9 GHz and quality factors ranging from a few hundreds to a several hundred thousands controlled by appropriately designed input and output coupling capacitors. The microwave transmission spectra measured at temperatures of 20 mK are shown to be in good agreement with theoretical lumped element and distributed element transmission matrix models. In particular, the experimentally determined resonance frequencies, quality factors, and insertion losses are fully and consistently explained by the two models for all measured devices. The high level of control and flexibility in design renders these resonators ideal for storing and manipulating quantum electromagnetic fields in integrated superconducting electronic circuits.

arXiv:0807.4094•Journal of Applied Physics•Dec 1, 2008•370 citations

Superconducting coplanar waveguide resonators for detector applications

G. Hammer, S. Wünsch, M. Roesch +3 more

The use of a transmission line resonator offers the possibility for different sensor readout methods, e.g. flux qubit and kinetic inductance detectors. Both cases require a high quality factor, Q L , of the cavity circuit to detect small deviations in the resonance frequency. Various superconducting niobium coplanar waveguide resonators of λ/4 and λ/2 wavelength for 3 and 6 GHz were developed. Different layouts for the coplanar resonators were designed, simulated and measured on common silicon and sapphire substrates at 4.2 K. We found a very good agreement between simulation and measurement results, with Q L between 10 4 and 10 5 at helium temperatures. The presented results show the dependences on the chosen cross section geometries, the coupling factor and the complex layout of the transmission line.

Superconductor Science and Technology•Oct 18, 2007•19 citations

Experimental demonstrations of high-Q superconducting coplanar waveguide resonators

HaiJie Li, YiWen Wang, LianFu Wei +6 more

We successfully designed and fabricated an absorption-type of superconducting coplanar waveguide (CPW) resonators. The resonators are made from a niobium film (about 160 nm thick) on a high-resistance Si substrate, and each resonator is fabricated as a meandered quarter-wavelength transmission line (one end is short to the ground and another end is capacitively coupled to a through feedline). With a vector network analyzer we measured the transmissions of the applied microwave through the resonators at ultra-low temperature. The obtained loaded quality factors are significantly high, i.e. up to ∼10 6 . When the temperature increases slowly from the base temperature (20 mK), the resonance frequencies of the resonators are blue shifted and the quality factors are lowered slightly. In principle, this type of device can integrate a series of CPW resonators with a common feedline, making it a promising candidate as the data bus for coupling distant solid-state qubits and the sensitive detector of single photons.

arXiv:1304.3254•Chinese Science Bulletin•Jul 1, 2013•29 citations
We describe measurements on microwave coplanar resonators designed for quantum bit experiments. Resonators have been patterned onto sapphire and silicon substrates, and quality factors in excess of a million have been observed. The resonant frequency shows a high sensitivity to magnetic field applied perpendicular to the plane of the film, with a quadratic dependence for the fundamental, second, and third harmonics. Frequency shift of hundreds of linewidths can be obtained with no change in the quality factor.
Measurements are made on superconducting Niobium on Sapphire and oxidized Silicon microwave coplanar resonators for quantum bit experiments. Device geometry and materials are investigated and quality factors in excess of a million have been observed. The resonant frequency as a function of temperature of a coplanar resonator is characterised in terms of the change in the number density of superconducting electrons. At lower temperatures, the resonant frequency no longer follows this function, and evidence is shown that this is associated with the resonant coupling of the resonant frequency with two level systems in the substrate. At T<2.2 K the resonant frequency scales logarithmically with the temperature, indicating that two level systems distributed in the volume of the Silicon Dioxide affect the electric permittivity. Applying higher input microwave power levels is shown to saturate these two level systems, essentially decoupling them from the CPR resonance. This is observed as an increase in resonant frequency and Q factor. The resonant frequency is also shown to have a high sensitivity to a magnetic field applied perpendicular to the plane of the coplanar resonator, with a quadratic dependence for the fundamental, second and third harmonics. Frequency shift of hundreds of linewidths are obtained. Coplanar resonator are fabricated and measured with current control lines built on chip, and these have shown to produce frequency shifts of tens of Kilohertz.
We describe the fabrication and measurement of microwave coplanar waveguide resonators with internal quality factors above 107 at high microwave powers and over 106 at low powers, with the best low power results approaching 2×106, corresponding to ∼1 photon in the resonator. These quality factors are achieved by controllably producing very smooth and clean interfaces between the resonators’ aluminum metallization and the underlying single crystal sapphire substrate. Additionally, we describe a method for analyzing the resonator microwave response, with which we can directly determine the internal quality factor and frequency of a resonator embedded in an imperfect measurement circuit.
High quality on-chip microwave resonators have recently found prominent new applications in quantum optics and quantum information processing experiments with superconducting electronic circuits, a field now known as circuit quantum electrodynamics (QED). They are also used as single photon detectors and parametric amplifiers. Here we analyze the physical properties of coplanar waveguide resonators and their relation to the materials properties for use in circuit QED. We have designed and fabricated resonators with fundamental frequencies from 2 to 9 GHz and quality factors ranging from a few hundreds to a several hundred thousands controlled by appropriately designed input and output coupling capacitors. The microwave transmission spectra measured at temperatures of 20 mK are shown to be in good agreement with theoretical lumped element and distributed element transmission matrix models. In particular, the experimentally determined resonance frequencies, quality factors, and insertion losses are fully and consistently explained by the two models for all measured devices. The high level of control and flexibility in design renders these resonators ideal for storing and manipulating quantum electromagnetic fields in integrated superconducting electronic circuits.
The use of a transmission line resonator offers the possibility for different sensor readout methods, e.g. flux qubit and kinetic inductance detectors. Both cases require a high quality factor, Q L , of the cavity circuit to detect small deviations in the resonance frequency. Various superconducting niobium coplanar waveguide resonators of λ/4 and λ/2 wavelength for 3 and 6 GHz were developed. Different layouts for the coplanar resonators were designed, simulated and measured on common silicon and sapphire substrates at 4.2 K. We found a very good agreement between simulation and measurement results, with Q L between 10 4 and 10 5 at helium temperatures. The presented results show the dependences on the chosen cross section geometries, the coupling factor and the complex layout of the transmission line.
We successfully designed and fabricated an absorption-type of superconducting coplanar waveguide (CPW) resonators. The resonators are made from a niobium film (about 160 nm thick) on a high-resistance Si substrate, and each resonator is fabricated as a meandered quarter-wavelength transmission line (one end is short to the ground and another end is capacitively coupled to a through feedline). With a vector network analyzer we measured the transmissions of the applied microwave through the resonators at ultra-low temperature. The obtained loaded quality factors are significantly high, i.e. up to ∼10 6 . When the temperature increases slowly from the base temperature (20 mK), the resonance frequencies of the resonators are blue shifted and the quality factors are lowered slightly. In principle, this type of device can integrate a series of CPW resonators with a common feedline, making it a promising candidate as the data bus for coupling distant solid-state qubits and the sensitive detector of single photons.