Hydrodynamic simulation using Quantum Tensor Networks on a quantum computer

该提案涉及冲击波流体动力学模拟的商业用例，这是我们的目标政府客户DSTL的一个具有商业重要性的应用。我们将通过将问题表示为张量化网络并在量子电路上实现来解决Sod Shock Tube问题。由于存在草皮问题的解析解，我们选择它作为求解器的验证案例。可行性研究（第1阶段）将为Sod shock问题的概念验证（POC）实施提供规范，该问题利用一种新颖的张量网络（TN）方法，1：1映射到量子电路，用于解决流体动力学CFD模拟，直接在硬件级优化的全栈量子计算机上实施以运行应用程序，并使用紧密集成的经典计算进行基准测试。

This proposal addresses the commercial use case of hydrodynamic simulation of shock waves, an application of commercial importance to our target government customer, DSTL. We will tackle the Sod Shock Tube problem by representing the problem as a tensorized network and then its implementation on quantum circuits. Since analytical solutions of the Sod problem exist, we have selected it as a validation case for our solver. A feasibility study (phase 1) will provide specifications for a (Phase 2) Proof-of-concept(POC) implementation of the Sod shock problem that utilises a novel Tensor Networks (TNs) method, mapped 1:1 to quantum circuits, for solving hydrodynamic CFD simulation, implemented directly on a full-stack quantum computer optimised at the hardware level to run the application, and benchmarked using tightly integrated classical computing.