Journal Article

Quantum imaginary time evolution steered by reinforcement learning

Hou, Shi-Yao, Zhou, D. L., Cao, Chenfeng, An, Zheng, Zeng, Bei

2022

Overview

The quantum imaginary time evolution is a powerful algorithm for preparing the ground and thermal states on near-term quantum devices. However, algorithmic errors induced by Trotterization and local approximation severely hinder its performance. Here we propose a deep reinforcement learning-based method to steer the evolution and mitigate these errors. In our scheme, the well-trained agent can find the subtle evolution path where most algorithmic errors cancel out, enhancing the fidelity significantly. We verified the method’s validity with the transverse-field Ising model and the Sherrington-Kirkpatrick model. Numerical calculations and experiments on a nuclear magnetic resonance quantum computer illustrate the efficacy. The philosophy of our method, eliminating errors with errors, sheds light on error reduction on near-term quantum devices. Quantum imaginary time evolution – a common technique in theoretical studies to prepare ground states of quantum systems – comes with the uneasy requirement to implement non-unitary time evolution in the lab, and while recent solution has been proposed it carries leftover errors. The present work implements reinforcement learning to mitigate such errors in a physics-informed way, demonstrating the efficiency of AI-enhanced algorithms on a quantum computer.

• Publisher: Nature Publishing Group UK,Nature Publishing Group,Nature Portfolio
• Subject: 639/766/259 / 639/766/483/481 / Deep learning / Error reduction / Evolutionary algorithms / Ising model / Machine learning / NMR / Nuclear magnetic resonance / Physics / Physics and Astronomy / Quantum computers / Quantum computing