Quantum Circuit and Tensor Network Implementation of the 2D Acoustic Wave Equation

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.

Quantum Physics (quant-ph); Disordered Systems and Neural Networks (cond-mat.dis-nn); Mathematical Software (cs.MS)

arXiv:2609.01904 [quant-ph]

(or arXiv:2609.01904v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2609.01904 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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