Error-Generator-Level Compression for Fast Quantum Gates

• URL: http://arxiv.org/abs/2607.28922v1
• Date: Fri, 31 Jul 2026 00:46:27 GMT
• Title: Error-Generator-Level Compression for Fast Quantum Gates
• Abstract summary: Fast quantum gates in multilevel systems require suppressing many coherent-error channels using pulses that remain simple to implement.<n>We introduce error-generator-level compression, a Magnus-based control principle that minimizes the complete projected error generator at a chosen perturbative order.<n>This construction preserves all modeled computational and leakage errors rather than truncating the pulse by error channel.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Fast quantum gates in multilevel systems require suppressing many coherent-error channels using pulses that remain simple to implement. We introduce error-generator-level compression, a Magnus-based control principle that minimizes the complete projected error generator at a chosen perturbative order while restricting the implemented waveform to a few independently adjustable coefficients. This construction preserves all modeled computational and leakage errors rather than truncating the pulse by error channel, while its generator-level objective directly penalizes residual eigenphases that can signal departure from the perturbative regime. For fast transmon gates, a three-parameter pulse suppresses errors by orders of magnitude, outperforms grid-optimized leading- order DRAG over the gate-time range studied, and approaches a fully parameterized 17-parameter Magnus correction. The compressed pulse is also substantially less sensitive to the illustrative finite-bandwidth filtering model considered here.

Related papers

• Robust CZ gate against flux line memory [0.6015898117103068]
  High-fidelity CZ gates are central to superconducting quantum processors.<n> Conventional predistortion, typically used for an isolated gate, can recover the desired flux at the chip but it fails if the flux line memory exists.<n>We model the flux line distortion as the dynamics of a stateful classical actuator coupled to a quantum system.
  arXiv  Detail & Related papers  (2026-09-01T09:00:39Z)
• Quantum Decision Theory for Displacement Detection with Finite-Energy GKP States [46.2474896050764]
  We develop a framework for detecting phase-space displacements with finite-energy, $d$-level Gottesman-Kitaev-Preskill (GKP) probes.<n>For single-mode and entanglement-assisted architectures, we derive the Bayesian minimum-error probability.<n>We benchmark the resulting protocols against coherent-state, direction-matched squeezed-vacuum, and twin-beam schemes.
  arXiv  Detail & Related papers  (2026-08-08T10:32:05Z)
• Overcoming the Speed-Fidelity Trade-off in Fast CZ Gates via Cyclic Control [16.45224279739977]
  Short-timescale waveform distortions break the time-reflection symmetry of control pulses, preventing the precise closure of cyclic evolution.<n>We introduce a cyclic control strategy based on parameter-space expansion, which restores controllability by incorporating an additional degree of freedom.<n>We experimentally demonstrate this approach in a superconducting controlled-Z gate, achieving robust suppression of coherent errors without increasing gate duration.
  arXiv  Detail & Related papers  (2026-07-01T09:09:00Z)
• Mitigating crosstalk errors for simultaneous single-qubit gates on a superconducting quantum processor [59.06950309601253]
  Single-qubit gates on superconducting quantum processors are typically implemented using microwave pulses applied through dedicated control lines.<n>These microwave pulses may also drive other qubits due to crosstalk arising from capacitive coupling and wavefunction overlap.<n>Crosstalk and frequency crowding increase errors during simultaneous single-qubit operations relative to isolated gates.
  arXiv  Detail & Related papers  (2026-03-11T17:47:32Z)
• Superconducting Qubit Gates Robust to Parameter Fluctuations [0.0]
  We numerically derive gates robust to amplitude and frequency errors using gradient ascent pulse engineering (GRAPE)<n>We analyze how fluctuations in qubit frequency, drive amplitude, and coherence affect gate performance over time.<n>The robust pulses suppress coherent errors from drive drifts over 15 times more than a Gaussian pulse with derivative removal by adiabatic gate (DRAG)
  arXiv  Detail & Related papers  (2025-11-27T16:13:18Z)
• Measurement-free quantum error correction optimized for biased noise [1.2161145818221]
  We derive measurement-free protocols for quantum error correction and the implementation of a universal gate set optimized for an error model that is noise biased.<n>The noise bias is adapted for neutral atom platforms, where two- and multi-qubit gates are realized with Rydberg interactions.
  arXiv  Detail & Related papers  (2025-05-21T15:46:13Z)
• Universal quantum computation via scalable measurement-free error correction [45.29832252085144]
  We show that universal quantum computation can be made fault-tolerant in a scenario where the error-correction is implemented without mid-circuit measurements.<n>We introduce a measurement-free deformation protocol of the Bacon-Shor code to realize a logical $mathitCCZ$ gate.<n>In particular, our findings support that below-breakeven logical performance is achievable with a circuit-level error rate below $10-3$.
  arXiv  Detail & Related papers  (2024-12-19T18:55:44Z)
• Fast quantum control of cavities using an improved protocol without coherent errors [6.646517772148801]
  SNAP gates form a powerful class of quantum gates.<n>For short pulses, coherent errors limit the performance.<n>We show that such errors can be completely suppressed, provided that the pulse times exceed a specific limit.
  arXiv  Detail & Related papers  (2023-10-16T15:19:40Z)
• Direct pulse-level compilation of arbitrary quantum logic gates on superconducting qutrits [36.30869856057226]
  We demonstrate any arbitrary qubit and qutrit gate can be realized with high-fidelity, which can significantly reduce the length of a gate sequence. We show that optimal control gates are robust to drift for at least three hours and that the same calibration parameters can be used for all implemented gates.
  arXiv  Detail & Related papers  (2023-03-07T22:15:43Z)
• A high on-off ratio beamsplitter interaction for gates on bosonically encoded qubits [40.96261204117952]
  A qubit in a high quality superconducting microwave cavity offers the opportunity to perform the first layer of error correction in a single device. We use a 3-wave mixing coupling element to engineer a programmable beamsplitter interaction between two bosonic modes separated by more than an octave in frequency. We then introduce a new protocol to realize a hybrid controlled-SWAP operation in the regime $g_bsapproxchi$, in which a transmon provides the control bit for the SWAP of two bosonic modes.
  arXiv  Detail & Related papers  (2022-12-22T18:07:29Z)
• Extensible circuit-QED architecture via amplitude- and frequency-variable microwaves [52.77024349608834]
  We introduce a circuit-QED architecture combining fixed-frequency qubits and microwave-driven couplers. Drive parameters appear as tunable knobs enabling selective two-qubit coupling and coherent-error suppression.
  arXiv  Detail & Related papers  (2022-04-17T22:49:56Z)
• Engineering fast bias-preserving gates on stabilized cat qubits [64.20602234702581]
  bias-preserving gates can significantly reduce resource overhead for fault-tolerant quantum computing. In this work, we apply a derivative-based leakage suppression technique to overcome non-adiabatic errors.
  arXiv  Detail & Related papers  (2021-05-28T15:20:21Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.