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Title: Non-Markovian Quantum State Collapse for Quantum Simulation

Jincheng Zhang

Published Sep 4, 2026• 0 citations
Publisher

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.

DOI
10.5281/zenodo.22290481

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Quantum simulation offers unprecedented capabilities for modeling complex systems, particularly those exhibiting non-Markovian dynamics. Traditional methods often struggle with the inherent complexities of non-Markovian systems, requiring significant computational resources and potentially inaccurate results. This paper proposes a novel quantum simulation technique centered around the entanglement of observables, aiming to overcome these limitations by embracing a fundamentally different approach to system dynamics. The core claim is to develop a quantum simulation method capable of accurately modeling non-Markovian processes by leveraging the enhanced power of entangled observations. We detail the mechanism, explore the theoretical framework, and present initial experimental explorations demonstrating the technique's potential for improved fidelity in simulating complex quantum systems.
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