Title: Embedding Quantum States within a Higher-Dimensional Lattice

Jincheng Zhang

Published Sep 2, 2026• 0 citations

Abstract

This paper investigates the potential of leveraging higher-dimensional lattices to represent and manipulate quantum states. Quantum mechanics often struggles with the computational complexity of directly mapping complex quantum systems to finite-dimensional spaces. We propose a method for embedding quantum states within a lattice structure, aiming to simplify the analysis and computation of quantum phenomena. This involves constructing a lattice with specific properties that facilitate entanglement and superposition, allowing for a more intuitive and manageable representation of quantum states. The core mechanism focuses on designing a lattice topology that inherently supports these properties, offering a novel approach to exploring quantum mechanics in a higher-dimensional setting. The research explores the theoretical foundations and potential applications of this technique, highlighting its promise for advancing our understanding of quantum systems and offering a pathway towards more efficient quantum computation.

DOI: 10.5281/zenodo.22251505

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