As a crossover frontier of physics and mechanics, quantum computing is showing its great potential in computational mechanics. However, quantum hardware noise remains a critical barrier to achieving accurate simulation results due to the limitation of the current hardware. In this paper, we integrate error-mitigated quantum computing in data-driven computational homogenization, where the zero-noise extrapolation (ZNE) technique is employed to improve the reliability of quantum computing. Specifically, ZNE is utilized to mitigate the quantum hardware noise in two quantum algorithms for distance calculation, namely a Swap-based algorithm and an H-based algorithm, thereby improving the overall accuracy of data-driven computational homogenization. Numerical examples including a multiscale simulation of a composite L-shaped beam are conducted with the quantum computer simulator Qiskit, and the results validate the effectiveness of the proposed method. We believe this work presents a promising step towards using quantum computing in computational mechanics.

翻译：作为物理学与力学交叉前沿领域，量子计算在计算力学中展现出巨大潜力。然而受当前硬件条件限制，量子硬件噪声仍是获得精确模拟结果的关键障碍。本文将误差缓解量子计算技术融入数据驱动计算均匀化方法，采用零噪声外推技术提升量子计算可靠性。具体而言，我们运用ZNE技术对两种距离计算量子算法（基于交换门的算法与基于哈密顿量的算法）中的量子硬件噪声进行抑制，从而提升数据驱动计算均匀化的整体精度。通过包含复合材料L形梁多尺度模拟在内的数值算例，在量子计算机模拟器Qiskit上验证了所提方法的有效性。本研究为推动量子计算在计算力学中的应用迈出了重要一步。