Hydrodynamic simulation using Quantum Tensor Networks on a quantum computer

这项建议涉及冲击波流体动力模拟的商业使用案例，这是一项对我们的目标政府客户DSTL具有商业重要性的应用。我们将通过将Sod激波管问题表示为张化网络，然后将其在量子电路上实现来解决该问题。由于存在SOD问题的解析解，因此我们选择它作为我们的求解器的验证案例。可行性研究(第一阶段)将提供SOD冲击问题(第二阶段)概念验证(POC)实施的规范，该实施利用一种新的张量网络(TNS)方法，将1：1映射到量子电路，用于解决流体动力学CFD模拟，直接在硬件级别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.