Certifying the Rydberg-exposure limit of a globally driven controlled-Z gate
Abstract
Rydberg excitation enables entangling gates in neutral-atom quantum processors but also exposes them to spontaneous decay. Whether this exposure can be made arbitrarily small through pulse shaping and longer gate times has remained unresolved. We show that an exact controlled-Z gate driven by a single global laser has an irreducible Rydberg-exposure cost in the perfect-blockade regime. The product of the maximum Rabi frequency Ωmax and the average time TR spent in the Rydberg state is bounded below by $2.9312$, independent of pulse shape and duration. We derive this bound using a sum-of-squares certificate, strengthened by constraints imposed by the shared drive. Using interval arithmetic, we also certify the existence of an exact gate pulse with Ωmax TR<2.9359. The unrounded bounds differ by less than 0.16%. The bound identifies a fundamental cost of shared-drive entangling dynamics and establishes a benchmark against which future gate-control strategies can be assessed.
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BibTeX
@misc{zhao2026certifying,
title = {{Certifying the Rydberg-exposure limit of a globally driven controlled-Z gate}},
author = {Yusheng Zhao and Han Wang and Mingrui Jing and Zhongyi Ni and Xin Wang and Jie Wang and Jinguo Liu},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.07388},
eprint = {2611.07388},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.07388},
}
RIS
TY - UNPB
TI - Certifying the Rydberg-exposure limit of a globally driven controlled-Z gate
AU - Yusheng Zhao
AU - Han Wang
AU - Mingrui Jing
AU - Zhongyi Ni
AU - Xin Wang
AU - Jie Wang
AU - Jinguo Liu
PY - 2026
DA - 2026/11/05
PB - arXiv
DO - 10.48550/arxiv.2611.07388
UR - https://arxiv.org/abs/2611.07388
AB - Rydberg excitation enables entangling gates in neutral-atom quantum processors but also exposes them to spontaneous decay. Whether this exposure can be made arbitrarily small through pulse shaping and longer gate times has remained unresolved. We show that an exact controlled-Z gate driven by a single global laser has an irreducible Rydberg-exposure cost in the perfect-blockade regime. The product of the maximum Rabi frequency Ω_max and the average time T_R spent in the Rydberg state is bounded below by $2.9312$, independent of pulse shape and duration. We derive this bound using a sum-of-squares certificate, strengthened by constraints imposed by the shared drive. Using interval arithmetic, we also certify the existence of an exact gate pulse with Ω_max T_R<2.9359. The unrounded bounds differ by less than 0.16%. The bound identifies a fundamental cost of shared-drive entangling dynamics and establishes a benchmark against which future gate-control strategies can be assessed.
ER -