Dynamics Simulation of Arbitrary Non-Hermitian Systems Based on Quantum Monte Carlo

TL;DR

This paper presents a hybrid classical-quantum algorithm based on Quantum Monte Carlo for simulating the dynamics of non-Hermitian quantum systems, addressing a key challenge in their simulation.

Contribution

It introduces a novel extension of the QITE algorithm to non-Hermitian systems, enabling efficient simulation of diverse open quantum systems.

Findings

Successfully simulated open quantum system dynamics

Demonstrated applicability to PT-symmetric and non-physical systems

Showed good adaptability and potential for broad applications

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.