Title: Non-Markovian Quantum State Collapse for Quantum Simulation
Jincheng Zhang
Abstract
Quantum state collapse is a fundamental process in quantum mechanics, crucial for generating observable outcomes from initial quantum states. Current simulation methods often rely on approximations that limit the fidelity of quantum simulations, particularly for complex systems. This paper investigates a novel framework for quantum state collapse that explicitly incorporates non-Markovian dynamics, aiming to improve the accuracy and computational efficiency of quantum simulations. We propose a new algorithm based on analyzing the system's dynamics and dynamically adjusting collapse parameters to enhance the fidelity of the simulation. The core claim is that this approach offers a significant advancement in quantum simulation, enabling more accurate modeling of complex quantum systems by addressing limitations of current methods. This work focuses on developing a robust and adaptable methodology to handle non-Markovian systems, ultimately providing a pathway towards more reliable quantum simulations.