Quantum-Inspired Stochastic Differential Equation Modeling

Jincheng Zhang

Published Sep 3, 2026• 0 citations

Abstract

Quantum-inspired stochastic differential equation (SDE) modeling seeks to extend the traditional framework of SDEs to incorporate quantum-mechanical effects, offering enhanced predictive capabilities for complex systems exhibiting inherent randomness. This paper explores a novel stochastic process that utilizes quantum-like phenomena, such as superposition and entanglement, to model randomness within SDEs. The core mechanism focuses on creating a dynamic representation of uncertainty, ultimately improving prediction accuracy. We present a conceptual framework and preliminary results demonstrating the potential of this approach to tackle challenging problems in diverse fields, including financial modeling and optimization.

DOI: 10.5281/zenodo.22263386

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