Probing many-body localization by excited-state variational quantum eigensolver

作者：Shuo Liu, Shi‐Xin Zhang, Shi‐Xin Zhang, Chang‐Yu Hsieh, Shengyu Zhang, Shengyu Zhang, Hong Yao · 发表于：Physical review. B./Physical review. B · 年份：2023 · DOI：10.1103/physrevb.107.024204 · 被引用次数：34 · 研究领域：Quantum many-body systems、Quantum Computing Algorithms and Architecture、Quantum Information and Cryptography

Nonequilibrium physics including many-body localization (MBL) has attracted increasing attentions, but theoretical approaches of reliably studying nonequilibrium properties remain quite limited. In this Letter, we propose a systematic approach to probe MBL phases via the excited-state variational quantum eigensolver (VQE) and demonstrate convincing results of MBL on a quantum hardware, which we believe paves a promising way for future simulations of nonequilibrium systems beyond the reach of classical computations in the noisy intermediate-scale quantum (NISQ) era. Moreover, the MBL probing protocol based on excited-state VQE is NISQ-friendly, as it can successfully differentiate the MBL phase from thermal phases with relatively shallow quantum circuits, and it is also robust against the effect of quantum noises.