Digital Predistortion for Flux Control of Tunable Superconducting Qubits

Dharun Venkateswaran, Felice Francesco Tafuri, Yuanzheng Paul Tan, Bruno Aznar Martinez, Alisa Danilenko, Likai Yang, Arnaud Carignan-Dugas, Christoph Hufnagel

quant-ph(primary)cond-mat.supr-con
#909 of 2593 · Quantum Physics
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1436±27
10501750
57%
Win Rate
24
Wins
18
Losses
42
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Rating
4.5/ 10
Significance
Rigor
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Abstract

Flux-tunable superconducting qubits rely on fast flux control pulses to implement two-qubit entangling quantum gates, a key building block for quantum algorithms. However, distortion effects introduced by non-ideal control electronics, parasitic components, and the cryogenic quantum chip response can all degrade the gate fidelity. We present a digital predistortion (DPD) framework for characterizing and then compensating for these distortions using a combination of infinite impulse response (IIR) and finite impulse response (FIR) filters. Experiments on a flux-tunable quantum processing unit (QPU) demonstrate a successful correction of step-response distortions on the flux-control line, with a compensated control signal showing only sub-percent deviations from the ideal target linear behavior. The demonstrated method enables automated rapid calibration of flux control channels for superconducting QPUs.

AI Impact Assessments

(3 models)

Scientific Impact Assessment

1. Core Contribution

This paper presents a digital predistortion (DPD) framework for compensating distortions in flux-control lines of tunable superconducting qubits. The approach combines infinite impulse response (IIR) and finite impulse response (FIR) filters in a two-stage correction scheme to linearize the voltage-to-flux transfer function. The method achieves sub-percent deviations from ideal linear behavior: 0.65% with IIR alone and 0.17% with the subsequent FIR stage. The framework is demonstrated experimentally on an IQM Garnet 20-qubit QPU using Keysight's quantum control system.

The core problem addressed — that non-ideal electronics, cryogenic components, and chip-level responses distort flux-control signals and degrade gate fidelity — is well-established in the superconducting qubit community. The contribution is primarily an engineering integration of known signal processing techniques (IIR/FIR filtering, least-squares optimization) applied to this specific quantum computing context, with experimental validation.

2. Methodological Rigor

The methodology follows a logical progression: simulation of individual distortion sources, characterization via 2D flux spectroscopy and Ramsey-style (Cryoscope) experiments, and then DPD compensation. However, several aspects limit the rigor assessment:

  • Missing gate fidelity metrics: The paper demonstrates flux-line linearization but does not report actual gate fidelity improvements (e.g., randomized benchmarking of CZ gates before and after correction). The 0.17% deviation figure, while impressive, is not directly translated into a gate error metric, which would be the ultimate figure of merit for the quantum computing community.
  • Limited characterization depth: Only one qubit (Q1) from a 20-qubit chip is characterized. The paper claims scalability to multi-qubit architectures but provides no evidence of how the calibration procedure scales or whether filter coefficients vary significantly across qubits.
  • Filter complexity analysis is thin: While the paper identifies minimum tap counts (Ma=1, Mb=2 for IIR), the FIR filter depth and its resource implications on FPGA are not thoroughly discussed. The simulation-to-experiment gap is acknowledged but not rigorously bridged.
  • No comparison to prior art performance: The paper references Cryoscope [Rol et al., 2020] and other compensation methods [Hellings et al., 2025] but does not quantitatively compare its results against these approaches.
  • 3. Potential Impact

    The practical impact is moderate but real. Flux-line distortion compensation is a known calibration bottleneck in superconducting QPU operation. An automated DPD framework that can be integrated into commercial control hardware (Keysight QCS) has clear utility for:

  • QPU calibration pipelines: Reducing manual tuning overhead for flux-tunable architectures.
  • Two-qubit gate optimization: Though not demonstrated here, improved flux control should translate to higher CZ gate fidelities.
  • Tunable coupler systems: The authors note applicability to tunable couplers, which are increasingly standard in modern QPU designs.
  • However, the impact is constrained by the lack of demonstrated gate fidelity improvement and the strong coupling to a specific commercial platform. The technique itself (IIR/FIR predistortion) is well-established in telecommunications and RF engineering, so the novelty lies more in the application context than in the signal processing methodology.

    4. Timeliness & Relevance

    The work addresses a genuinely relevant problem. As superconducting QPUs scale to hundreds of qubits, automated calibration of flux-control channels becomes increasingly important. The timing is appropriate given the industry push toward larger, flux-tunable architectures. Recent related work (Hellings et al., 2025; Li et al., 2025) indicates this is an active area, and the present contribution fits within the current research landscape.

    However, the paper does not advance significantly beyond existing methods. Cryoscope-based characterization [Rol et al., 2020] is already well-known, and IIR/FIR-based compensation has been previously explored in this context. The incremental advance is the specific two-stage IIR+FIR architecture and the demonstration that minimal filter taps suffice.

    5. Strengths & Limitations

    Strengths:

  • Clean experimental demonstration with clear before/after comparison (Fig. 6)
  • Practical framework amenable to FPGA implementation due to minimal tap requirements
  • Systematic treatment of different distortion sources with appropriate models (Table 1)
  • The elimination of bias-tee distortions through direct DC+BB pulse generation is a practical advantage of the setup
  • The simulation environment provides useful validation before experimental deployment
  • Limitations:

  • No gate fidelity benchmarking: This is the most significant gap. Without demonstrating improved gate fidelity, the practical value remains speculative.
  • Single-qubit demonstration: Testing on one qubit of a 20-qubit chip does not validate scalability claims.
  • Limited novelty: Both the characterization technique (Cryoscope) and the compensation approach (IIR/FIR filtering) are well-established. The combination is useful but not groundbreaking.
  • Conference paper format: The brevity limits methodological detail, particularly regarding filter design choices, convergence properties, and robustness analysis.
  • No noise or uncertainty analysis: Error bars on the corrected flux response, sensitivity to filter coefficient errors, and repeatability data are absent.
  • Commercial platform dependency: The tight integration with Keysight hardware, while practically useful, limits the generalizability of the specific implementation.
  • Overall Assessment

    This is a competent applied engineering paper that demonstrates a practical solution to a known problem in superconducting qubit calibration. The work is well-executed within its scope but lacks the depth of analysis (particularly gate fidelity metrics and scalability data) needed to make a strong scientific impact. It reads more as a product application note with experimental validation than as a research contribution advancing the state of the art. The technique is sound, the results are clean, but the novelty is incremental and the impact demonstration is incomplete.

    Rating:4.5/ 10
    Significance 4Rigor 4.5Novelty 3.5Clarity 7

    Generated Apr 20, 2026

    Comparison History (42)

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