Quantum Entanglement-Based Algorithm Design
Jincheng Zhang
Abstract
This paper explores the design and implementation of a novel algorithm leveraging quantum entanglement to generate complex mathematical expressions. The core claim is that this approach can uncover unexpected relationships and patterns within these expressions, facilitating the discovery of new mathematical theorems and proofs. We propose a quantum algorithm for generating random sequences with a defined entanglement structure, followed by a sophisticated search algorithm to explore these sequences for novel mathematical expressions. This research investigates the potential of quantum mechanics to transcend conventional computational approaches in mathematical discovery.