1. Differentiable Quantum Computing for Large-scale Linear Control
- Author
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Clayton, Connor, Leng, Jiaqi, Yang, Gengzhi, Qiao, Yi-Ling, Lin, Ming C., and Wu, Xiaodi
- Subjects
Quantum Physics ,Computer Science - Emerging Technologies ,Computer Science - Machine Learning ,Mathematics - Numerical Analysis ,Mathematics - Optimization and Control - Abstract
As industrial models and designs grow increasingly complex, the demand for optimal control of large-scale dynamical systems has significantly increased. However, traditional methods for optimal control incur significant overhead as problem dimensions grow. In this paper, we introduce an end-to-end quantum algorithm for linear-quadratic control with provable speedups. Our algorithm, based on a policy gradient method, incorporates a novel quantum subroutine for solving the matrix Lyapunov equation. Specifically, we build a quantum-assisted differentiable simulator for efficient gradient estimation that is more accurate and robust than classical methods relying on stochastic approximation. Compared to the classical approaches, our method achieves a super-quadratic speedup. To the best of our knowledge, this is the first end-to-end quantum application to linear control problems with provable quantum advantage.
- Published
- 2024