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Quantum Bayesian Drift (QBD)

Jincheng Zhang

Published Sep 6, 2026• 0 citations
Publisher

Abstract

Quantum Bayesian Drift (QBD) presents a novel approach to quantum mechanics by formally incorporating a Bayesian Drift framework. This framework proposes that quantum states continuously adjust to local environments through a probabilistic update, eliminating the need for a global wavefunction. This research explores the mathematical foundations of this drift, detailing a quantum state evolution algorithm that leverages Bayesian inference to dynamically adjust probabilities. The core claim is that QBD enables instantaneous adaptation of quantum states to local environments, offering a potential pathway toward truly adaptive quantum systems.

DOI
10.5281/zenodo.22521839

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Quantum Bayesian Drift (QBD) presents a novel approach to quantum mechanics by formally incorporating a Bayesian Drift framework. This framework proposes that quantum states continuously adjust to local environments through a probabilistic update, eliminating the need for a global wavefunction. This research explores the mathematical foundations of this drift, detailing a quantum state evolution algorithm that leverages Bayesian inference to dynamically adjust probabilities. The core claim is that QBD enables instantaneous adaptation of quantum states to local environments, offering a potential pathway toward truly adaptive quantum systems.
This paper explores a novel Bayesian framework for assessing the convergence of quantum algorithms. Traditional convergence criteria often rely on fixed, computationally intensive checks, failing to adequately handle the inherent stochasticity of quantum systems. We propose a dynamic, probabilistic state space, incorporating a 'Quantum Drift' algorithm, to continuously update the system's state as it evolves, providing a more robust and adaptable approach to convergence analysis. The framework leverages Bayesian principles to quantify uncertainty and guide algorithm refinement. The core claim is that this approach offers a fundamentally new method for understanding and improving the convergence of quantum algorithms, particularly those involving complex quantum systems.
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