Non-Standard Arithmetic of Quantum States

Jincheng Zhang

Published Sep 2, 2026• 0 citations

Abstract

This paper investigates the potential of utilizing non-standard arithmetic to generate complex mathematical functions, leveraging the unique properties of quantum entanglement. The core aim is to design a framework based on quantum entanglement that can produce sophisticated mathematical results through calculations, and exploit entanglement to enhance computational efficiency. We propose a novel approach centered around the generation of functions directly from quantum states, potentially surpassing the limitations of classical arithmetic. The paper explores the potential of this framework to enable new mathematical discoveries and algorithmic advancements. Specifically, we address the challenge of efficiently manipulating and processing information encoded within quantum states. The investigation delves into the fundamental principles of entanglement and their implications for creating a new paradigm in computational mathematics.

DOI: 10.5281/zenodo.22247535

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