Quantum Simulation of Open Quantum Dynamics via Non-Markovian Quantum State Diffusion
Abstract
Quantum simulation of non-Markovian open quantum dynamics is essential but challenging for standard quantum computers due to their non-Hermitian nature, leading to non-unitary evolution, and the limitations of available quantum resources. Here we introduce a hybrid quantum-classical algorithm designed for simulating dissipative dynamics in system with non-Markovian environment. Our approach includes formulating a non-Markovian Stochastic Schr\"odinger equation with complex frequency modes (cNMSSE) where the non-Markovianity is characterized by the mode excitation. Following this, we utilize variational quantum simulation to capture the non-unitary evolution within the cNMSSE framework, leading to a substantial reduction in qubit requirements. To demonstrate our approach, we investigated the spin-boson model and dynamic quantum phase transitions (DQPT) within transverse field Ising model (TFIM). Significantly, our findings reveal the enhanced DQPT in TFIM due to non-Markovian behavior.
Cite
@article{arxiv.2404.10655,
title = {Quantum Simulation of Open Quantum Dynamics via Non-Markovian Quantum State Diffusion},
author = {Yukai Guo and Xing Gao},
journal= {arXiv preprint arXiv:2404.10655},
year = {2026}
}