Paper 8
Psigda: AI and Quantum Methods for Field Equations
A research programme
- Authors
- Zachariah Roydel Robertson
- Date
- 2026-10-01
- License
- License not stated
Abstract
Psigda is a research programme to find out whether AI or quantum methods can solve the field equations of physics faster than conventional solvers. The plan: reproduce a published result, try to improve on it, and publish what is found — starting with Burgers' equation via physics-informed neural networks (Raissi, Perdikaris and Karniadakis, 2019) implemented in DeepXDE, then the Schrödinger equation toward the quantum frontier of variational quantum algorithms. Six-week method: basics, reproduce, understand, improve, go quantum, publish — all in public notebooks.
Keywords
- Physics-informed neural networks
- DeepXDE
- Burgers' equation
- Schrödinger equation
- Variational quantum algorithms