Quantum Simulation of Open Quantum Dynamics via Non-Markovian Quantum State Diffusion

• URL: http://arxiv.org/abs/2404.10655v2
• Date: Wed, 17 Apr 2024 05:12:53 GMT
• Title: Quantum Simulation of Open Quantum Dynamics via Non-Markovian Quantum State Diffusion
• Authors: Yukai Guo, Xing Gao,
• Abstract summary: Quantum simulation of non-Markovian open quantum dynamics is essential but challenging for standard quantum computers. We introduce a hybrid quantum-classical algorithm designed for simulating dissipative dynamics in system with non-Markovian environment.
• Score: 2.9413085575648235
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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