Title: Quantum Geometry as a Fundamental Algorithm for Computational Complexity

Jincheng Zhang

Published Sep 3, 2026• 0 citations

Abstract

Quantum Geometry represents a paradigm shift in computational complexity theory, proposing that the inherent geometry of computational spaces can be exploited to efficiently perform computations. This paper explores the potential of quantum geometry as a fundamental algorithm for designing and analyzing complex computational landscapes, offering a fundamentally new approach to algorithm design. We will delve into the core mechanism of constructing quantum circuits that explicitly model geometric properties, demonstrating its capacity to efficiently compute and analyze computational complexity. The paper will outline the conceptual framework, proposed circuit design, and preliminary results suggesting significant advancements over existing computational methods. We conclude with a discussion of future research directions and the potential impact of this novel approach on the field of algorithm design.

DOI: 10.5281/zenodo.22265209

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