Quantum Complexity Conservation Law: A Novel Perspective on Quantum Systems

Jincheng Zhang

Published Aug 17, 2026• 0 citations

Abstract

This paper introduces the Quantum Complexity Conservation Law (QCCL), a fundamental principle proposing that the complexity of a quantum system remains constant throughout its evolution, irrespective of the specific transformations applied. The core hypothesis, expressed mathematically as ΔCq = 0, posits that changes in quantum states do not inherently increase or decrease the overall complexity. This concept offers a novel framework for understanding quantum phenomena, potentially impacting areas such as quantum simulation and offering a pathway toward identifying previously unrecognized conservation laws within the quantum realm. The paper outlines the foundational ideas, explores potential implications, and discusses the potential for this framework to warrant consideration for Nobel recognition. The exploration focuses on the theoretical underpinnings and the potential to shift our perspective on quantum system behavior.

DOI: 10.5281/zenodo.21975810

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