用于抑制泄漏的稳健 CZ 门的珀塞尔工程混合耦合器
Purcell-Engineered Hybrid Coupler for Leakage-Suppressed Robust CZ Gates
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中文总结 AI 辅助
研究提出用于超导 CZ 门的珀塞尔工程混合耦合器，结合相干与泄漏选择性耗散。架构集成多子系统控制相互作用路径与耗散环境，经分析和模拟，相比单跨导耦合器降低泄漏、提高保真度，实现特定参数，证明工程耗散可补充传统方法并提供设计自由度。
中文摘要 AI 辅助
我们提出了一种用于超导受控 Z（CZ）门的珀塞尔工程陷波滤波器混合耦合器，它将相干相互作用工程与泄漏选择性耗散相结合。该架构集成了一个非线性跨导耦合器与一个耦合珀塞尔滤波器和陷波谐振器子系统，能对相干相互作用路径和工程耗散环境进行额外控制。滤波器分支重塑有效相互作用路径，陷波谐振器进一步调整耦合滤波器网络的频率响应并保持强泄漏选择性耗散。通过修饰本征态分析和林德布拉德主方程模拟表明，与优化的单跨导耦合器相比，该架构大幅降低泄漏并提高最坏情况计算态保真度，在广泛的相干假设和器件参数范围内保持稳健。优化后的门实现了平均保真度\(F_{\rm avg}=99.74\%\)，最小保真度\(F_{\rm min}=99.62\%\)，最大泄漏概率为\(1.6\times10^{-3}\)。这些结果表明，工程耗散补充了传统相干相互作用工程，并为实现稳健、高保真超导 CZ 门提供了额外的设计自由度。
英文摘要
We propose a Purcell-engineered notch-filter hybrid coupler for superconducting controlled-$Z$ (CZ) gates that combines coherent interaction engineering with leakage-selective dissipation. The architecture integrates a nonlinear transmon coupler with a coupled Purcell-filter and notch-resonator subsystem, providing additional control over both the coherent interaction pathways and the engineered dissipative environment. The filter branch reshapes the effective interaction pathways, while the notch resonator further tailors the frequency response of the coupled filter network and preserves strong leakage-selective dissipation. Using dressed-eigenstate analysis together with Lindblad master-equation simulations, we show that the proposed architecture substantially reduces leakage and improves the worst-case computational-state fidelity compared with an optimized single-transmon coupler while remaining robust over a broad range of coherence assumptions and device parameters. The optimized gate achieves $F_{\rm avg}=99.74\%$, $F_{\rm min}=99.62\%$, and a maximum leakage probability of $1.6\times10^{-3}$. These results demonstrate that engineered dissipation complements conventional coherent interaction engineering and provides an additional design degree of freedom for realizing robust, high-fidelity superconducting CZ gates.
