Dynamics Simulation of Arbitrary Non-Hermitian Systems Based on Quantum Monte Carlo
Abstract
Non-Hermitian quantum systems exhibit unique properties and hold significant promise for diverse applications, yet their dynamical simulation poses a particular challenge due to intrinsic openness and non-unitary evolution. Here, we introduce a hybrid classical-quantum algorithm based on Quantum Monte Carlo (QMC) for simulating the dynamics of arbitrary time-dependent non-Hermitian systems. Notably, this approach constitutes a natural extension of the quantum imaginary-time evolution (QITE) algorithm. This algorithm combines the advantages of both classical and quantum computation and exhibits good applicability and adaptability, making it promising for simulating arbitrary non-Hermitian systems such as PT-symmetric systems, non-physical processes, and open quantum systems. To validate the algorithm, we applied it to the dynamic simulation of open quantum systems and achieved the desired results.
Cite
@article{arxiv.2507.11675,
title = {Dynamics Simulation of Arbitrary Non-Hermitian Systems Based on Quantum Monte Carlo},
author = {Xiaogang Li and Kecheng Liu and Qiming Ding},
journal= {arXiv preprint arXiv:2507.11675},
year = {2025}
}