近日，南方科技大学邓修豪团队研究了Smolyak算法辅助不确定量子系统的鲁棒控制。2025年4月28日，《物理评论A》杂志发表了这一成果。

由于不可避免的不确定性或干扰，用于鲁棒控制设计的高效和系统的数值方法在量子系统中至关重要。研究组提出了一种方法，将不确定性建模为随机变量，并通过将不保真期望重新表述为加权张量积求积来量化鲁棒性。他们采用Smolyak算法开发了一种参数鲁棒量子控制方案，该方案在降低计算成本的同时提高了估计精度。

研究组通过将Smolyak稀疏网格结合到传统的基于梯度的量子最优控制方法（如葡萄和山羊）中，证明了该算法的有效性。在涉及量子门实现的鲁棒控制问题中，可以实现低不保真度和强鲁棒性。这些结果有助于在现实世界存在缺陷的情况下提高量子计算和通信系统的可靠性和安全性。

附：英文原文

Title: Smolyak-algorithm-assisted robust control of quantum systems with uncertainties

Author: Zigui Zhang, Zibo Miao, Xiu-Hao Deng

Issue&Volume: 2025/04/28

Abstract: Efficient and systematic numerical methods for robust control design are crucial in quantum systems due to inevitable uncertainties or disturbances. We propose an approach that models uncertainties as random variables and quantifies robustness using the expectation of infidelity by reformulating it as a weighted tensor product quadrature. We employ the Smolyak algorithm to develop a parametric robust quantum control scheme, which balances the reduction of computational cost with the enhancement of estimation accuracy. We demonstrate the effectiveness of our proposed algorithm by incorporating the Smolyak sparse grids into conventional gradient-based quantum optimal control methods such as grape and goat. In robust control problems concerning quantum gate realization, low infidelity and strong robustness can be achieved. These results contribute to improving the reliability and security of quantum computing and communication systems in the presence of real-world imperfections.

DOI: 10.1103/PhysRevA.111.042624

Source: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.111.042624