Quantum State Interaction Topology (QSIT)

Jincheng Zhang

Published Aug 17, 2026• 0 citations

Abstract

This paper introduces Quantum State Interaction Topology (QSIT), a novel framework proposing that quantum states, beyond their conventional description by Hamiltonians, possess an underlying, hidden topological structure. This structure, denoted as *T(ψi, ψj)*, dictates the permissible transitions between states. The core concept builds upon the understanding of interactions between quantum states and suggests a network-like topology where states are interconnected based on topological properties rather than solely on Hamiltonian dynamics. The exploration of this QSIT framework aims to potentially revolutionize our understanding of quantum dynamics and could hold significant implications for complex multi-body quantum simulations and, ultimately, contribute to the development of new quantum theories. The investigation focuses on identifying patterns within these state interactions that resemble "ecological networks," offering a pathway towards a more nuanced and potentially predictive model of quantum systems. ---

DOI: 10.5281/zenodo.21975214

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