Algorithmic Quantum Entanglement Propagation for Computational Geometry
Jincheng Zhang
Abstract
Quantum entanglement, a fundamental phenomenon in quantum mechanics, presents a unique pathway for manipulating information and creating complex correlations. This paper explores the algorithmic application of entanglement to propagate geometric information, aiming to facilitate the creation of intricate geometric structures and rigorous proofs of geometric theorems. The core mechanism centers around designing a "quantum map" – a state that utilizes entanglement to traverse geometric spaces, potentially enabling the generation of infinitely complex geometries. We present a novel algorithm that demonstrates the feasibility of this approach, highlighting its potential to revolutionize computational geometry and offer significant advancements in geometric analysis.