Quantum Security Proofs Based on Quantum Decoherence

Jincheng Zhang

Published Sep 3, 2026• 0 citations

Abstract

This paper presents a theoretical framework for demonstrating the security of quantum algorithms leveraging the phenomenon of quantum decoherence. We explore the vulnerability of quantum algorithms to external disturbances, arguing that decoherence fundamentally undermines their computational advantage. Our core claim is that by precisely quantifying decoherence effects and their impact on quantum operations, we can establish rigorous security proofs for specific quantum algorithms. The mechanism we employ centers on modeling the propagation of errors introduced by decoherence, ultimately demonstrating that the inherent probabilistic nature of quantum computation, when compounded by decoherence, renders many quantum algorithms susceptible to manipulation. This research offers a novel approach to quantum security analysis, shifting the focus from idealized, error-free quantum systems to the realistic conditions of noisy quantum environments. We define a mathematical framework for assessing algorithmic security based on decoherence rates and operational fidelity, proposing a quantifiable metric for determining the limits of quantum computational advantage. The ultimate goal is to inform the design of more robust and secure quantum algorithms, acknowledging and incorporating decoherence as a central element of security considerations. ---

DOI: 10.5281/zenodo.22270110

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