Title: Quantum-Enhanced Riemann Hypothesis via Entangled Variables
Jincheng Zhang
Abstract
The Riemann Hypothesis, a long-standing and stubbornly unsolved problem in number theory, has captivated mathematicians for over 150 years. Current computational methods struggle to definitively prove or disprove it, highlighting a significant gap in our understanding of the zeta function. This paper proposes a novel approach to tackle this problem utilizing quantum-enhanced measurement techniques and entangled variables. We outline a new algorithm for exploring the Riemann Hypothesis, leveraging the correlations between entangled particles to identify subtle patterns within the zeta function. The core mechanism centers on creating entangled particles to probe the structure of the zeta function, potentially revealing previously missed connections. This investigation leverages a hybrid quantum-classical approach, combining the precision of quantum mechanics with the analytical power of classical computation. The goal is to develop a framework that can potentially lead to new insights into the Riemann Hypothesis and provide a more robust theoretical foundation.