Quantum-Enhanced Bayesian Neural Networks for Symbolic Reasoning
Jincheng Zhang
Abstract
This paper explores the integration of quantum mechanics principles into Bayesian Neural Networks (BNNs) to enhance symbolic reasoning capabilities, particularly in the realm of uncertainty. We propose a novel architecture that leverages quantum-state manipulation as a means to represent logical rules and inference processes with improved expressiveness and robustness. The core mechanism focuses on utilizing quantum phenomena – superposition, entanglement, and interference – to represent and process information in a fundamentally different way than classical BNNs. We present a preliminary model demonstrating improved performance on complex symbolic reasoning tasks, showcasing the potential for a new paradigm in AI reasoning. This work addresses the limitations of classical BNNs in handling uncertainty and offers a pathway toward more sophisticated and reliable symbolic systems.