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Quantum Simulation of Non-Equilibrium Systems using Adaptive Sampling

Jincheng Zhang

Published Aug 29, 2026• 0 citations
Publisher

Abstract

Quantum simulation of non-equilibrium systems presents a significant challenge due to the inherent complexity of these systems and the limitations of classical simulation techniques. Traditional methods often struggle to accurately capture the intricate dynamics arising from non-equilibrium conditions. This paper introduces a novel method, Adaptive Sampling, designed to overcome these limitations. We propose an iterative process where the sampling rate is dynamically adjusted based on the system's evolution, enabling the capture of complex dynamics with greater fidelity and reduced computational cost. The core mechanism centers on employing adaptive sampling to refine the simulation, allowing for the exploration of a wider range of possible states and ultimately, a more accurate representation of the system's behavior. This approach promises to significantly advance the field of quantum simulation, offering a robust and adaptable solution to the challenges associated with simulating non-equilibrium systems.

DOI
10.5281/zenodo.22158275

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This paper introduces an adaptive quantum potential field simulation framework designed to dynamically adjust simulation parameters and achieve more accurate results. Traditional quantum potential field simulations often rely on static parameter settings, a limitation that hinders the ability to capture complex quantum phenomena. This work proposes a novel approach utilizing the dynamic nature of quantum potential fields to iteratively refine simulation parameters, ultimately leading to improved fidelity and insight. The core mechanism involves a continuous, iterative process of parameter adjustment guided by the inherent characteristics of the quantum field. We demonstrate the framework's efficacy through simulations of a specific quantum system, highlighting its ability to overcome limitations of static approaches. This innovation offers a significant step towards more robust and insightful quantum simulation.
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