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IEEE Control Systems Letters

Coherent-Feedback Notch Filtering for Purcell Suppression

Aoi Fujimoto, Hiroyuki Ichihara, Rina Kanamoto

Published Jan 1, 2026• 0 citations
Publisher
DOI
10.1109/lcsys.2026.3706456

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Rapid reset and readout of qubit states are essential for quantum error correction, yet accelerating these operations through stronger coupling to a dissipative environment inevitably increases qubit decay via the Purcell effect. Here we present a broadband Purcell filter that decouples the reset and readout paths, enabling both operations to be independently optimized without compromising qubit coherence. The filter employs two engineered notches - an intrinsic notch and a bandstop notch - to provide broadband Purcell protection, together with an additional reset stub that creates a reset mode below the protected band. To enable fast reset while suppressing filter-mediated interactions between qubits, we couple each qubit to a dedicated reset resonator. We experimentally demonstrate Purcell-limited relaxation times exceeding 1 ms across a 1.2 GHz bandwidth, simultaneously with 500 ns readout without a Josephson parametric amplifier and 100 ns reset with 99.6% efficiency. The reset resonator is designed with a deliberate kappa-chi mismatch, which suppresses photon-shot-noise-induced dephasing by a factor of 70 compared to the readout resonator. Our work provides a scalable hardware solution that resolves the traditional trade-off between fast qubit operations and qubit protection, advancing the prospects for fault-tolerant quantum computing.
We propose a Purcell-engineered notch-filter hybrid coupler for superconducting controlled-ZZZ (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 retains high-fidelity, low-leakage operation compared with an optimized single-transmon coupler while remaining robust over a broad range of coherence assumptions and device parameters. The gate analysis reconstructs the projected computational quantum channel and therefore retains the phase information required to distinguish a CZ operation from identity. The nominal operating point occurs at tCZ=327.46 nst_{\rm CZ}=327.46~\mathrm{ns}tCZ​=327.46 ns with FavgCZ=99.714%F_{\rm avg}^{\rm CZ}=99.714\%FavgCZ​=99.714%, Lavg=8.78×10−4L_{\rm avg}=8.78\times10^{-4}Lavg​=8.78×10−4, and Lmax=2.04×10−3L_{\rm max}=2.04\times10^{-3}Lmax​=2.04×10−3. A minimax timing-robust operating point at 327.20 ns327.20~\mathrm{ns}327.20 ns maintains FavgCZ≥99.590%F_{\rm avg}^{\rm CZ}\geq99.590\%FavgCZ​≥99.590% over a ±0.50 ns\pm0.50~\mathrm{ns}±0.50 ns timing window. 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.