标题： 关于量子启发式求解器模拟可压缩流的技术报告 显示英文标题

标题： Technical report on a quantum-inspired solver for simulating compressible flows

摘要： 本文提出了一种受量子启发的求解器，用于解决二维欧拉方程，并已被空客-宝马集团量子计算挑战赛（ABQCC）2024的最终阶段接收。 我们处理了量子求解器在预测气动声学和空气动力学建模任务中的案例研究。 我们提出了一种基于张量网络的求解器，在运行时间和内存上都以对数多项式规模扩展。 这为解决计算流体力学领域直接数值模拟面临的高维数难题提供了有希望的途径。 显示英文摘要

摘要： This document presents a quantum-inspired solver for 2D Euler equations, accepted at the final phase of the Airbus-BWM Group Quantum Computing Challenge (ABQCC) 2024. We tackle the case study of Quantum Solvers for Predictive Aeroacoustic and Aerodynamic modeling tasks. We propose a tensor network based solver that scales polylogarithmically with the mesh size, in both runtime and memory. This provides a promising avenue for tackling the curse of dimensionality that plagues the direct numerical simulations in the field of computational fluid dynamics.