用于超导量子电路的分布式谐振器的简单、精确集总元件模型
Simple, accurate lumped-element models of distributed resonators for superconducting quantum circuits
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中文总结 AI 辅助
研究超导量子电路分布式谐振器建模问题，提出简单有效电路级模型，无需电磁模拟就能再现散射参数、预测哈密顿量参数，通过开源代码包公开模型，助力相关研究。
中文摘要 AI 辅助
超导量子电路设计依赖于将设计参数精确映射到量子哈密顿量。设计者通常依赖计算密集型的有限元电磁模拟。然而，有效的电路级模型原则上可以捕捉这些系统的许多相关物理，减少对有限元模拟的需求。在器件设计中，分布式元件（如共面波导谐振器）的普遍存在阻碍了这些更简单模型的实现。已开发出对这些分布式元件建模的技术，但可能难以扩展、降低直观性且在强耦合下给出不准确结果。本文描述了一个简单有效的电路级模型，它能忠实地再现散射参数，并能预测更广泛的两端口网络内耦合分布式元件的某些哈密顿量参数，甚至高达强耦合。我们的方法无需明确进行电磁模拟。我们的模型以及黑箱量化中使用的其他常见集总模型，通过开源代码包$\texttt{simpleLOMs}$向研究人员公开。
英文摘要
Superconducting quantum circuit design is reliant on accurately mapping design parameters to a quantum Hamiltonian. Designers typically rely on computationally intensive finite-element electromagnetic simulations. However, effective circuit-level models can in principle capture much of the relevant physics for these systems, reducing the need for finite-element simulations. A barrier to implementing these simpler models has been the prevalence of distributed elements such as coplanar waveguides resonators in device designs. Techniques for modeling these distributed elements have been developed, but may be difficult to scale, reduce intuition, and give inaccurate results under strong coupling. In this work we describe a simple effective circuit-level model that faithfully reproduces the scattering parameters, and subsequently can predict certain Hamiltonian parameters, for a coupled, distributed element within a broader two-port network even up to strong coupling. Our approach does not explicitly require an electromagnetic simulation. Our model, along with other common lumped models used in black box quantization, is publicly available to researchers via an open-source code package, $\texttt{simpleLOMs}$.
