Higher-Order Quantum Arithmetic

Jincheng Zhang

Published Sep 6, 2026• 0 citations

Abstract

This paper presents a novel approach to quantum arithmetic, focusing on the design and implementation of a high-order arithmetic system. The core aim is to enhance the efficiency of quantum computations by leveraging the unique properties of quantum mechanics, specifically quantum entanglement and the capabilities of quantum hidden gates. We propose a new set of operations that significantly reduce computational complexity while remaining amenable to the inherent parallelism of quantum hardware. This work explores the potential of this system to unlock new algorithmic possibilities and provide a foundation for future quantum computation advancements. The study highlights the key mechanisms and demonstrates preliminary results through simplified mathematical examples.

DOI: 10.5281/zenodo.22498096

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