Year: 2025
Type: preprint
Abstract: This paper explores the application of tensor networks (TNs) to the simulation of material deformations within the framework of linear elasticity. Material simulations are essential computational tools extensively used in both academic research and industrial applications. TNs, originally developed in quantum mechanics, have recently shown promise in solving partial differential equations (PDEs) due to their potential for exponential speedups over classical algorithms. Our study successfully employs TNs to solve linear elasticity equations with billions of degrees of freedom, achieving exponential reductions in both memory usage and computational time. These results demonstrate the practical viability of TNs as a powerful classical backend for executing quantum-inspired algorithms with significant efficiency gains. This work is based on our research conducted with IKERLAN.
Source: arXiv (Cornell University)
Authors: Ali, Mazen, Cortines, Aser, Morales, Siddhartha, Mugel, Samuel, Olave, Mireia, Orus, Roman, Palmer, Samuel, Usabiaga, Hodei
Institutions: Multiverse Computing (Spain), Ikerlan
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4406745874