Quantum Entanglement: A Non-Linear Probability Model for Quantum Systems
Jincheng Zhang
Abstract
Quantum entanglement, a cornerstone of quantum mechanics, presents a profound challenge to our understanding of classical probability and information. This paper explores the construction of a novel non-linear probability model predicated on quantum entanglement, aiming to provide a robust framework for modeling and predicting the behavior of quantum systems. We aim to leverage the inherent non-linearity within entangled states to represent and analyze quantum phenomena, particularly within the context of quantum computation and quantum information. The core mechanism focuses on translating probabilistic distributions generated by entangled systems into a mathematically tractable model. This research emphasizes the potential of this approach to refine our understanding of quantum mechanics and open avenues for novel quantum algorithms and applications.