Quantum Simulation of Non-Equilibrium Systems using Adaptive Sampling
Jincheng Zhang
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.