Sub-nanosecond control for spin-defect quantum memories with a low-cost, compact FPGA platform

Victor Marcenac, Tommy Nguyen, Julie Chen, Weitao He, Enrique Garcia, Yuyang Han, Bethany E. Matthews, Tiamike Dudley

#903 of 2593 · Quantum Physics
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Tournament Score
1437±27
10501750
53%
Win Rate
21
Wins
19
Losses
40
Matches
Rating
4.8/ 10
Significance
Rigor
Novelty
Clarity

Abstract

Dynamical decoupling techniques are widely used to characterize and control the environments of solid-state quantum defects, enabling solid-state quantum memories and nanoscale quantum sensors. However, resolution is often limited by the timing granularity of control hardware, which can undersample narrow spectral features and distort extracted parameters. Here, we demonstrate sub-nanosecond timing control on an inexpensive FPGA-based platform by extending the open-source QICK (Quantum Instrumentation Control Kit) framework using a waveform-offset method. This approach achieves an effective timing resolution of 200~ps on an RF system-on-chip device without modification to the underlying hardware. We apply this capability to dynamical decoupling spectroscopy of nitrogen-vacancy centers in diamond, enabling precise extraction of hyperfine couplings of individual 13C^{13}\mathrm{C} nuclear spins and resolving spectral features that are otherwise undersampled. These results demonstrate that high-resolution, device-level characterization of spin-based quantum memories can be achieved using flexible, inexpensive control hardware, providing a scalable alternative to commercial arbitrary waveform generators.

AI Impact Assessments

(3 models)

Scientific Impact Assessment

Core Contribution

This paper presents a software-level technique—coarse–fine timing decomposition via precomputed waveform offsets—that achieves 200 ps effective timing resolution on an RFSoC FPGA platform (RFSoC 4x2) whose native sequencer clock only provides ~3.25 ns granularity. The key insight is straightforward: since the DAC runs at ~5 GHz (200 ps per sample) while the FPGA sequencer operates at 307 MHz, one can bridge this 16:1 mismatch by pre-loading a bank of sample-shifted waveform replicas and selecting the appropriate offset at runtime. The technique is implemented within the open-source QICK-DAWG framework without hardware modifications.

The method is applied to CPMG dynamical decoupling spectroscopy of nitrogen-vacancy (NV) centers in diamond, demonstrating extraction of hyperfine coupling parameters (A, B) of individual ¹³C nuclear spins with sub-kHz precision, and resolving narrow spectral features that would be undersampled at native sequencer resolution.

Methodological Rigor

The technical approach is sound but relatively incremental. The coarse–fine decomposition exploiting the DAC-to-sequencer clock ratio is a well-known concept in digital signal processing and has analogs in other FPGA timing systems. The implementation details (bitwise decomposition, waveform memory management, per-pulse overhead) are described clearly.

The experimental demonstrations are adequate but not deeply characterized:

  • Room-temperature measurements identify three ¹³C spins with hyperfine parameters extracted via established algorithmic decomposition methods.
  • Low-temperature measurements at 4K with N=320 pulses show oscillatory fringes enabling precise fitting, yielding (A, B) = (225.01 ± 0.12, 203.15 ± 0.44) kHz for one spin.
  • Additional narrow features at high resolution (Fig. 4c) are noted but not explained—the authors acknowledge these cannot be fit with the single-spin model and defer their identification to future work.
  • Notably absent is a rigorous validation of the 200 ps timing accuracy itself—no independent calibration or comparison against a reference AWG is presented. The paper also lacks quantitative benchmarking of how the improved resolution affects parameter extraction accuracy compared to the native 3.25 ns resolution on the same spectral features, beyond the qualitative statement that features are "undersampled." A systematic comparison showing fitting errors at different timing resolutions would have strengthened the claims significantly.

    The T₁ limitation from AOM leakage at room temperature, which restricts the number of resolvable spins, is acknowledged but somewhat undermines the room-temperature demonstration's impact. The switch to a different NV center and setup at low temperature makes the two demonstrations feel disjoint rather than providing a unified characterization.

    Potential Impact

    The practical impact lies primarily in the accessibility argument: achieving sub-nanosecond timing on a ~5KRFSoCboardratherthan5K RFSoC board rather than50K+ commercial AWGs lowers the barrier for labs entering the quantum defect field. This is a genuine benefit, particularly for shared user facilities as noted by the authors, and for scaling to multi-defect characterization where multiple control channels may be needed.

    However, the technique's impact is bounded by several factors:

    1. The waveform-offset method trades memory for timing resolution—the finite waveform memory (2¹⁶ samples per channel) limits the number of distinct pulse shapes and durations, which could become constraining for more complex pulse sequences.

    2. The per-pulse instruction overhead limits minimum pulse spacing, which the paper mentions but does not quantify.

    3. Many advanced NV experiments already use high-end AWGs or purpose-built systems where timing is not the bottleneck.

    The broader applicability to other spin-defect platforms (SiV, SnV, T-centers) is mentioned but not demonstrated. The technique is genuinely platform-agnostic within the QICK ecosystem, which is a strength for community adoption.

    Timeliness & Relevance

    The work is timely in the context of growing interest in scaling spin-defect quantum registers and the need for efficient characterization of nuclear spin environments. Recent demonstrations of multi-qubit entanglement protocols tailored to specific nuclear configurations (refs [5]-[7]) underscore the need for precise hyperfine characterization. The open-source nature of QICK and its growing user base in the superconducting qubit community make this extension relevant.

    The paper addresses a real practical need—affordable, precise pulse control—though it is more of an engineering contribution than a scientific advance. The quantum sensing and quantum memory communities will find value in the demonstrated capability, particularly groups establishing new experimental setups.

    Strengths

  • Practical accessibility: Low-cost, compact, open-source solution that genuinely lowers barriers to entry.
  • Clean implementation: The coarse–fine decomposition is elegant in its simplicity and requires no hardware changes.
  • Demonstrated utility: Sub-kHz hyperfine parameter extraction and resolution of previously unresolved features provide concrete evidence of benefit.
  • Breadth of demonstration: Both room-temperature and cryogenic measurements across two experimental setups show flexibility.
  • Limitations

  • Limited novelty: The waveform-offset technique is a standard digital engineering approach; the conceptual contribution is modest.
  • Incomplete validation: No independent verification of timing accuracy, no systematic comparison of parameter extraction at different resolutions.
  • Unexplained features: The narrow resonances in Fig. 4c are highlighted but not identified, leaving an open question that weakens the narrative.
  • Disconnected demonstrations: Room-temperature and low-temperature measurements use different NV centers and setups, preventing direct comparison.
  • No multi-spin register demonstration: The paper characterizes individual spins but does not demonstrate the claimed pathway to larger register control.
  • Memory and overhead constraints are acknowledged but not quantified, making it difficult to assess scalability for complex sequences.
  • Overall Assessment

    This is a competent instrumentation paper that provides a useful engineering solution for the spin-defect community. The contribution is primarily practical rather than conceptually novel, offering an accessible alternative to expensive hardware for a specific but important class of experiments. The experimental demonstrations are adequate but would benefit from more rigorous benchmarking. The paper will be most impactful for groups establishing new NV or color-center experimental setups on a budget, and for the QICK user community specifically.

    Rating:4.8/ 10
    Significance 4.5Rigor 5Novelty 3.5Clarity 7

    Generated Apr 14, 2026

    Comparison History (40)

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