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. Multiscale simulations of a 2D composite L-shaped beam and a 3D composite cylindrical shell 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的前沿领域，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融入数据驱动计算均匀化框架，采用零噪声外推技术提升量子计算的可靠性。具体而言，我们运用ZNE技术对两种量子距离计算算法（基于交换门的算法与基于Hadamard门的算法）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。通过量子计算机模拟器Qiskit对二维复合材料L形梁和三维复合材料圆柱壳进行多尺度仿真，结果验证了所提方法的有效性。本研究为量子计算在计算力学中的应用迈出了具有前景的一步。