Riemann-Hilbert Conjecture - Quantum Entanglement as a Computational Tool
Jincheng Zhang
Abstract
This paper explores the potential of quantum entanglement as a computational tool to tackle specific mathematical problems, drawing inspiration from the Riemann-Hilbert Conjecture. We propose a novel quantum algorithm designed to exploit entanglement to achieve a practical, verifiable advantage over classical methods for certain complex calculations. The paper outlines the core mechanism, details the algorithm's implementation, and discusses preliminary results demonstrating the feasibility of leveraging entanglement for computation. We argue that this approach represents a significant step toward understanding and utilizing quantum phenomena for computational purposes, potentially offering a new avenue for tackling problems within the realm of mathematical complexity.