Experimentally verified, fast analytic and numerical design of superconducting resonators in flip-chip architectures

• URL: http://arxiv.org/abs/2305.05502v3
• Date: Wed, 30 Aug 2023 12:53:38 GMT
• Title: Experimentally verified, fast analytic and numerical design of superconducting resonators in flip-chip architectures
• Abstract summary: predictability of device parameters is of increasing importance in superconducting quantum processors. We present a method, based on conformal mapping techniques, to predict a resonator's parameters directly from its 2D cross-section. We demonstrate the method's validity by comparing the calculated resonator frequency and coupling quality factor with those obtained through 3D finite-element-method simulation.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: In superconducting quantum processors, the predictability of device parameters is of increasing importance as many labs scale up their systems to larger sizes in a 3D-integrated architecture. In particular, the properties of superconducting resonators must be controlled well to ensure high-fidelity multiplexed readout of qubits. Here we present a method, based on conformal mapping techniques, to predict a resonator's parameters directly from its 2D cross-section, without computationally heavy and time-consuming 3D simulation. We demonstrate the method's validity by comparing the calculated resonator frequency and coupling quality factor with those obtained through 3D finite-element-method simulation and by measurement of 15 resonators in a flip-chip-integrated architecture. We achieve a discrepancy of less than 2% between designed and measured frequencies, for 6-GHz resonators. We also propose a design method that reduces the sensitivity of the resonant frequency to variations in the inter-chip spacing.

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