Title: Infinite-Dimensional Quantum Complexity Analysis

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

This paper explores the concept of quantum complexity analysis, aiming to provide a new framework for characterizing the intricate behavior of quantum systems. We introduce a novel method based on the creation of a new class of operators – self-adjoint operators whose eigenvalues represent the 'complexity' of a quantum system – and their connection to the emergence of macroscopic order. The core of this work lies in the development of a new approach to analyzing entangled states, moving beyond traditional probability density representations. The investigation involves the mathematical formulation and rigorous analysis of the operators, ultimately demonstrating a method for quantifying the system's inherent complexity, and its potential role in understanding the emergence of ordered states in quantum mechanics.

DOI: 10.5281/zenodo.22190871

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