Probing many-body localization by excited-state VQE
ORAL
Abstract
Non-equilibrium physics including many-body localization (MBL) has attracted increasing attentions, but theoretical approaches of reliably studying non-equilibrium properties remain quite limited. We propose a systematic approach to probe MBL phases on a digital quantum computer 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 non-equilibrium 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.
*This work is supported in part by the NSFC under Grant No. 11825404 (SXZ, SL, and HY), the CAS Strategic Priority Research Program under Grant No. XDB28000000 (HY), and Beijing Municipal Science and Technology Commission under Grant No. Z181100004218001 (HY).
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Presenters
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Shuo Liu
- Tsinghua University