Scaling of entangling-gate errors in large ion crystals

IF 2 3区 物理与天体物理 Q2 PHYSICS, MATHEMATICAL Journal of Physics A: Mathematical and Theoretical Pub Date : 2024-08-29 DOI:10.1088/1751-8121/ad6ab5
Wenhao He, Wenhao Zhang, Xiao Yuan, Yangchao Shen, Xiao-Ming Zhang
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Abstract

Trapped-ion has shown great advantages in building quantum computers. While high fidelity entangling-gate has been realized for a few ions, how to maintain the high fidelity for large scale trapped-ions remains an open problem. Here, we present an analysis of arbitrary scale ion chains and focus on motional-related errors, reported as one of the leading error sources in state-of-the-art experiments. We theoretically analyze two-qubit entangling-gate infidelity in a large ion crystal under the phase insensitive configuration. To verify our result, we develop an efficient numerical simulation algorithm that avoids exponential increases in of the Hilbert space dimension. For the motional heating error, we derive a much tighter bound of gate infidelity than previously estimated O(NΓτ), and we give an intuitive understanding from the trajectories in the phase space of motional modes. Our discoveries may inspire the scheme of pulse design against incoherent errors and shed light on the way toward constructing scalable quantum computers with large ion crystals.
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大型离子晶体中纠缠栅误差的缩放
陷波离子在构建量子计算机方面显示出巨大优势。虽然少数离子已经实现了高保真纠缠门,但如何保持大规模陷波离子的高保真仍是一个未决问题。在此,我们将对任意尺度的离子链进行分析,并重点关注与运动相关的误差,据报道,运动误差是最先进实验中的主要误差源之一。我们从理论上分析了相位不敏感配置下大型离子晶体中的双量子比特纠缠栅失真。为了验证我们的结果,我们开发了一种高效的数值模拟算法,避免了希尔伯特空间维度的指数增长。对于运动加热误差,我们得出了比以前估计的 O(NΓτ)更严格的栅极不保真约束,并从运动模式相空间中的轨迹给出了直观的理解。我们的发现可能会启发针对非相干误差的脉冲设计方案,并为利用大型离子晶体构建可扩展量子计算机指明方向。
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来源期刊
CiteScore
4.10
自引率
14.30%
发文量
542
审稿时长
1.9 months
期刊介绍: Publishing 50 issues a year, Journal of Physics A: Mathematical and Theoretical is a major journal of theoretical physics reporting research on the mathematical structures that describe fundamental processes of the physical world and on the analytical, computational and numerical methods for exploring these structures.
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