Quantum-Enhanced Riemann Hypothesis Testing

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

The Riemann Hypothesis, a long-standing unsolved problem in number theory, remains one of the most challenging mathematical puzzles. Traditional methods struggle to efficiently explore the vast solution space, hindering progress towards a definitive proof. This paper proposes a novel approach utilizing quantum-enhanced Riemann Hypothesis testing, specifically employing a hybrid quantum-classical algorithm. We hypothesize that quantum superposition, coupled with probabilistic error correction, can dramatically accelerate the search for solutions and provide novel insights into the hypothesis. The core mechanism involves a 'Quantum Monte Carlo' simulation, refined with classical optimization, designed to effectively navigate the hypothesis space. This work offers a potential paradigm shift in the testing process, potentially unlocking new avenues for investigation and pushing the boundaries of number-theoretic research.

DOI: 10.5281/zenodo.22185072

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