🤖 AI Summary
本文通过量子计算范式及经典张量网络等效方法，特别是使用基于矩阵乘积态的求解器，解决了二维声波方程的大规模模拟问题。
📝 Abstract
We present a cohesive framework for simulating seismic wave propagation utilizing quantum computing paradigms and their classical tensor network equivalents.
We detail a quantum circuit-based formulation for the explicit finite-difference time-domain (FDTD) solution of the two-dimensional acoustic wave equation and
map this quantum architecture onto a tensor train representation, namely for Matrix Product State (MPS).
The MPS solver enables deterministic simulation of large-scale wavefield dynamics on classical high-performance computing systems.
We demonstrate the MPS representation by computing 2D seismic wavefields on the Marmousi model.
Our results indicate that the MPS representation is a viable direction for computing and scaling wavefield propagation.