Quantum Entanglement-Based Probability Theory
Jincheng Zhang
Abstract
Quantum entanglement, a peculiar phenomenon where two or more particles become linked in such a way that they share the same fate, is a cornerstone of quantum mechanics. This paper explores the potential of leveraging this entanglement to revolutionize probability theory, proposing a formalization of probability based on quantum entanglement as a fundamental building block. We aim to develop a set of operators representing entanglement, enabling precise calculation of probabilities and correlations within quantum systems. The core claim is that this framework offers a deeper and more rigorous understanding of randomness and uncertainty inherent in quantum mechanics.