Towards quantum computational mechanics
Abstract
The advent of quantum computers, operating on entirely different physical principles and abstractions from those of classical digital computers, sets forth a new computing paradigm that can potentially result in game-changing efficiencies and computational performance. Specifically, the ability to simultaneously evolve the state of an entire quantum system leads to quantum parallelism and interference. Despite these prospects, opportunities to bring quantum computing to bear on problems of computational mechanics remain largely unexplored. In this work, we demonstrate how quantum computing can indeed be used to solve representative volume element (RVE) problems in computational homogenisation with polylogarithmic complexity of
- Publication:
-
Computer Methods in Applied Mechanics and Engineering
- Pub Date:
- December 2024
- DOI:
- 10.1016/j.cma.2024.117403
- arXiv:
- arXiv:2312.03791
- Bibcode:
- 2024CMAME.43217403L
- Keywords:
-
- Quantum computing;
- Multiscale analysis;
- Quantum Fourier transform;
- Quantum polynomial encoding;
- Gate-based quantum computing;
- Quantum Physics;
- Mathematics - Numerical Analysis;
- Physics - Computational Physics
- E-Print:
- doi:10.1016/j.cma.2024.117403