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Main Authors: Jesus, José Diogo Da Costa, Li, Boxi, Gao, Yuan, Barends, Rami, Cárdenas-López, Francisco Andrés, Motzoi, Felix
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2512.19919
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author Jesus, José Diogo Da Costa
Li, Boxi
Gao, Yuan
Barends, Rami
Cárdenas-López, Francisco Andrés
Motzoi, Felix
author_facet Jesus, José Diogo Da Costa
Li, Boxi
Gao, Yuan
Barends, Rami
Cárdenas-López, Francisco Andrés
Motzoi, Felix
contents Achieving very fast gates that undercut the natural limits set by decoherence requires going into the strong driving limit. Realizing single-qubit control predicted beyond semi-classical, time-dependent modeling has yet to be experimentally realized on superconducting and most other computing platforms. In this regime, the common model of dynamics within a three-level manifold breaks down, and instead, we see new quantum error channels growing abruptly with decreasing time. To identify these error processes we systematically calculate the effect of multi-photon transitions that occur out of the computational space. We then derive analytical formulas to suppress these effects, as well as amplitude and phase errors on the qubit space; we term these R1D for suppressing the $|0\rangle-|2\rangle$ transition and R2D when also suppressing $|1\rangle-|3\rangle$ leakage. We also answer long-standing questions about the optimal values of the DRAG prefactor as well as constant detuning, when accounting for time-ordering, and also show how to calibrate other prefactors for further performance improvement. Upon correcting these varied sources of error, we numerically demonstrate gate infidelities below $10^{-5}$ for a 7ns $π$-rotation when incorporating existing decoherence rates.
format Preprint
id arxiv_https___arxiv_org_abs_2512_19919
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Analytical blueprint for 99.999% fidelity X-gates on present superconducting hardware under strong driving
Jesus, José Diogo Da Costa
Li, Boxi
Gao, Yuan
Barends, Rami
Cárdenas-López, Francisco Andrés
Motzoi, Felix
Quantum Physics
Achieving very fast gates that undercut the natural limits set by decoherence requires going into the strong driving limit. Realizing single-qubit control predicted beyond semi-classical, time-dependent modeling has yet to be experimentally realized on superconducting and most other computing platforms. In this regime, the common model of dynamics within a three-level manifold breaks down, and instead, we see new quantum error channels growing abruptly with decreasing time. To identify these error processes we systematically calculate the effect of multi-photon transitions that occur out of the computational space. We then derive analytical formulas to suppress these effects, as well as amplitude and phase errors on the qubit space; we term these R1D for suppressing the $|0\rangle-|2\rangle$ transition and R2D when also suppressing $|1\rangle-|3\rangle$ leakage. We also answer long-standing questions about the optimal values of the DRAG prefactor as well as constant detuning, when accounting for time-ordering, and also show how to calibrate other prefactors for further performance improvement. Upon correcting these varied sources of error, we numerically demonstrate gate infidelities below $10^{-5}$ for a 7ns $π$-rotation when incorporating existing decoherence rates.
title Analytical blueprint for 99.999% fidelity X-gates on present superconducting hardware under strong driving
topic Quantum Physics
url https://arxiv.org/abs/2512.19919