Non-Linear Geometric Topology: A Quantum State Calculation Mapping

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

This paper explores the potential of non-linear geometric topology as a foundation for quantum state calculation mapping. Traditional quantum computation primarily focuses on qubit encoding and measurement, while this approach leverages the inherent properties of non-linear geometry to enhance quantum computation capabilities. We propose a novel method for constructing a quantum state calculation mapping that exploits these topological properties to achieve improved efficiency. The core mechanism centers around utilizing the unique characteristics of non-linear geometry to represent and manipulate quantum states, offering a fundamentally different approach to quantum computation. This paper provides a detailed theoretical framework and preliminary experimental investigation demonstrating the efficacy of this mapping technique, highlighting its potential to significantly advance the field.

DOI: 10.5281/zenodo.22185706

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