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arXiv:2608.10013

RF-Budgeted Frame Compilation for Frequency-Multiplexed Superconducting-Qubit Control Using Qubit-Control Identity Records and a Circuit-Informed RFSoC Model

Mingqi Ge, Anne-Marie Valente-Feliciano

quant-phSubmitted Aug 8, 2026• Announced Aug 11, 2026• 0 citations
arXivHTMLPDF

Abstract

Frequency-multiplexed superconducting-qubit control requires more than carrier assignment: the RF budget of a shared source can perturb multi-qubit rotations through finite bandwidth, crest factor, clipping, quantization, jitter, spurs, compression, crosstalk, and leakage. We present an RF-budgeted frame-compilation and validation workflow that combines qubit-control identity (QID) records, a MATLAB/Simulink-based circuit-informed RFSoC source-chain model, QuTiP qutrit dynamics, and Qiskit-derived algorithm workloads. QID records encode qubit-specific computational and leakage transition frequencies, pulse parameters, and drive-scale calibration, while the RF-chain profile and effective crosstalk-coupling matrix are provided as separate compiler inputs. Candidate multitone RF frames are scheduled under RF-budget constraints, propagated through the RFSoC model, decoded into computational and leakage transition frames, and evaluated in QuTiP for rotation error, leakage-aware fidelity, computational-subspace survival, and transient leakage. The studies progress from single-qutrit pulse closure to pairwise coexistence, multitone RF-frame capacity, and Bernstein-Vazirani (BV) and QAOA microwave layers extracted from Qiskit circuits. The simulations show that longer pulses improve per-frame aggregation but do not necessarily minimize time-normalized layer cost; clustered frequency maps, larger rotations, and multitone leakage stacking tighten closure. Under the nominal RF budget, a Qiskit-derived 12-qubit BV -Y90 layer closes in three validated four-tone frames at 240 ns, while QAOA mixer partitions vary with rotation angle and pulse duration. All reported results are model-based, decoherence-free simulation diagnostics rather than measured hardware fidelities or wiring-reduction claims.

Comments
21 pages, 14 figures

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Frequency-multiplexed superconducting-qubit control requires more than carrier assignment: the RF budget of a shared source can perturb multi-qubit rotations through finite bandwidth, crest factor, clipping, quantization, jitter, spurs, compression, crosstalk, and leakage. We present an RF-budgeted frame-compilation and validation workflow that combines qubit-control identity (QID) records, a MATLAB/Simulink-based circuit-informed RFSoC source-chain model, QuTiP qutrit dynamics, and Qiskit-derived algorithm workloads. QID records encode qubit-specific computational and leakage transition frequencies, pulse parameters, and drive-scale calibration, while the RF-chain profile and effective crosstalk-coupling matrix are provided as separate compiler inputs. Candidate multitone RF frames are scheduled under RF-budget constraints, propagated through the RFSoC model, decoded into computational and leakage transition frames, and evaluated in QuTiP for rotation error, leakage-aware fidelity, computational-subspace survival, and transient leakage. The studies progress from single-qutrit pulse closure to pairwise coexistence, multitone RF-frame capacity, and Bernstein-Vazirani (BV) and QAOA microwave layers extracted from Qiskit circuits. The simulations show that longer pulses improve per-frame aggregation but do not necessarily minimize time-normalized layer cost; clustered frequency maps, larger rotations, and multitone leakage stacking tighten closure. Under the nominal RF budget, a Qiskit-derived 12-qubit BV -Y90 layer closes in three validated four-tone frames at 240 ns, while QAOA mixer partitions vary with rotation angle and pulse duration. All reported results are model-based, decoherence-free simulation diagnostics rather than measured hardware fidelities or wiring-reduction claims.
Accurate microwave waveform delivery is a critical requirement for superconducting-qubit control.Although pulse-shaping methods are often discussed from a quantumcontrol perspective, their practical performance also depends on electrical-engineering constraints such as baseband-equivalent control-envelope bandwidth, waveform distortion, carrier detuning, and IQ quadrature accuracy.This paper presents a compact RF-control-chain-aware simulation study of microwave pulse shaping for a nominal single-qubit Xπ operation in a three-level superconducting-qubit load model.Square, Gaussian, and derivative-removal-by-adiabatic-gate (DRAG)-style pulse envelopes are compared.As a simplified approximation of bandwidth-limited waveform delivery, a causal low-pass transfer function is applied to padded in-phase and quadrature pulse envelopes before the qubit-load simulation.The results show that shaped pulses reduce leakage relative to abrupt rectangular excitation, but finite bandwidth modifies the delivered waveform and changes the leakage response in a pulse-shape-dependent manner.For the simulated 20 ns case, low-bandwidth filtering smooths and temporally extends the delivered envelopes, while sufficiently large bandwidths approach the ideal-waveform response.The study highlights the importance of joint pulse-shape design, envelope bandwidth budgeting, detuning control, and calibration in microwave control systems for scalable quantum hardware.
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Achieving high-fidelity operation in large-scale superconducting qubit systems requires not only control hardware with broad frequency coverage, low crosstalk, and tight synchronization but also software that coordinates system configuration, experiment execution, and data analysis. Here we present an integrated qubit-control system that combines broadband microwave hardware with a pulse-level software stack for scalable superconducting qubit experiments. The hardware provides broadband microwave coverage, including an instantaneous span of up to 1.6 GHz from a control output, while the software reduces setup and calibration overhead through automated configuration and built-in experiment workflows. We validate the system on a 64-qubit fixed-frequency transmon chip through full-chip frequency identification and representative demonstrations, including multi-unit far-detuned cross-resonance calibration and benchmarking that yields a measured two-qubit gate fidelity of 98.34%, and multilevel readout beyond the computational subspace. By disclosing the hardware architecture and releasing the software stack as open source, this work provides an inspectable hardware-software foundation for scalable superconducting qubit control experiments.
We present FIREQ (FPGA Instrumentation for Readout and Qubit control), an open-source RFSoC-based framework for the control and readout of superconducting qubits. FIREQ combines a modular AXI-compliant firmware architecture with a PYNQ-based software stack designed to support extensible hardware integration, deterministic experiment timing, and low-overhead execution of repeated calibration and characterization workflows. The firmware implements direct RF synthesis and acquisition, trigger-based sequencing, programmable pulse generation, frequency-multiplexed readout, and memory-efficient acquisition and waveform buffering. The software adopts a client-server architecture with streamed data transfer and dependency-aware configuration updates to reduce host-device and reconfiguration overhead during parameter sweeps. On an AMD Zynq UltraScale+ RFSoC ZCU216, FIREQ generates RF pulses up to 9.3 GHz with a pulse-duration resolution of 107 ps and an event-timing resolution of 1.7 ns. FPGA resource utilization is compared with representative open-source RFSoC control frameworks, showing a low BRAM footprint while retaining full-rate I/Q generation and acquisition. The RF output is characterized in terms of phase noise, noise spectral density, and inter-channel timing skew. End-to-end operation is validated on a superconducting qubit through resonator spectroscopy, Rabi, Ramsey, and relaxation measurements, yielding T1 = 6.94 us and T2* = 13.50 us. FIREQ can therefore be used both as a qubit-control platform and as an experimental environment for evaluating alternative control and readout IP architectures.
Superconducting quantum systems rely on microwave control paths that transform circuit-derived intent into qubit-facing waveform execution. Yet this radio-frequency (RF) control boundary is typically treated implicitly: compilation derives valid pulse-level intent, while hardware studies focus on analog behavior or downstream gate performance. As a result, cross-layer mismatches among intended control, tile operating state, and realized waveform remain underspecified, even though they can directly affect pulse fidelity, timing structure, and multi-channel coordination. In this paper, we present CRISP, a control-boundary framework for checking consistency among IntendedControl, TileState, and RealizedControl. CRISP introduces a behavioral RF-tile abstraction that models gain, phase distortion, bandwidth limitation, delay, and ringing/settling, and evaluates three pairwise consistency relations together with sequence-aware checks. Across five tile-state regimes, CRISP shows that nominal behavior can remain fully consistent while distorted states trigger distinct failure signatures, including up to 8 intended-to-realized failures, 4 intended-to-state failures, and 5 sequence violations. Under controlled sequence-stress extensions, CRISP further isolates timing drift from 9 ns to 20 ns, illegal overlap from 2 ns to 14 ns, and explicit channel mismatch. These results show that correctness at the RF control boundary is fundamentally relational rather than purely local.
As superconducting quantum processors continue to scale, high-performance quantum control becomes increasingly critical. In densely integrated architectures, unwanted interactions between nearby qubits give rise to crosstalk errors that limit operational performance. In particular, direct exchange-type (XY) interactions are typically minimized by designing large frequency detunings between neighboring qubits at the hardware level. However, frequency crowding in large-scale systems ultimately restricts the achievable frequency separation. While such XY coupling facilitates entangling gate operations, its residual presence poses a key challenge during single-qubit controls. Here, we propose a scalable pulse-level control framework, incorporating frequency modulation (FM) and dynamical decoupling (DD), to suppress XY crosstalk errors. This framework operates independently of coupling strengths, reducing calibration overhead and naturally supporting multi-qubit connectivity. Numerical simulations show orders-of-magnitude reductions in infidelity for both idle and single-qubit gates in a two-qubit system. We further validate scalability in a five-qubit layout, where crosstalk between a central qubit and four neighbors is simultaneously suppressed. Our crosstalk suppression framework provides a practical route toward high-fidelity operation in dense superconducting architectures.