Real- and Imaginary-Time Evolution with Compressed Quantum Circuits

Lin, Sheng-Hsuan; Dilip, Rohit; Green, Andrew G.; Smith, Adam; Pollmann, Frank

Abstract

The current generation of noisy intermediate-scale quantum computers introduces new opportunities to study quantum many-body systems. In this paper, we show that quantum circuits can provide a dramatically more efficient representation than current classical numerics of the quantum states generated under nonequilibrium quantum dynamics. For quantum circuits, we perform both real- and imaginary-time evolution using an optimization algorithm that is feasible on near-term quantum computers. We benchmark the algorithms by finding the ground state and simulating a global quench of the transverse-field Ising model with a longitudinal field on a classical computer. Furthermore, we implement (classically optimized) gates on a quantum processing unit and demonstrate that our algorithm effectively captures real-time evolution.

Citation

Lin, S.-H., Dilip, R., Green, A. G., Smith, A., & Pollmann, F. (2021). Real- and Imaginary-Time Evolution with Compressed Quantum Circuits. PRX Quantum, 2, Article 010342. https://doi.org/10.1103/PRXQuantum.2.010342

• Journal Article Type: Article
• Acceptance Date: Feb 18, 2021
• Online Publication Date: Mar 15, 2021
• Publication Date: Mar 15, 2021
• Deposit Date: Mar 21, 2022
• Publicly Available Date: Mar 21, 2022
• Journal: PRX Quantum
• Print ISSN: 2691-3399
• Electronic ISSN: 2691-3399
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 2
• Article Number: 010342
• DOI: https://doi.org/10.1103/PRXQuantum.2.010342
• Public URL: https://nottingham-repository.worktribe.com/output/7616798
• Publisher URL: https://journals.aps.org/prxquantum/abstract/10.1103/PRXQuantum.2.010342