Quantum-Inspired Neural Network Architectures for Symbolic Computation
Jincheng Zhang
Abstract
This paper explores the potential of quantum-inspired neural network architectures for enhancing symbolic computation. Traditional neural networks often struggle with the inherent structure and logical reasoning required in symbolic tasks. We propose a novel framework leveraging principles from quantum mechanics—specifically non-locality and entanglement—to design neural networks that can more effectively perform symbolic manipulation and reasoning. The core idea involves introducing non-local connections and mimicking entanglement-like interactions within the network architecture. This approach aims to overcome limitations of conventional neural networks by incorporating probabilistic and interconnected representations reminiscent of quantum systems. The resulting architectures, termed Quantum-Inspired Neural Networks (QINNs), are hypothesized to offer improved efficiency and accuracy in symbolic computation, potentially bridging the gap between classical computation and quantum processing paradigms. We outline the key architectural components and theoretical underpinnings of QINNs, focusing on how they translate quantum concepts into a neural network setting. The goal is to demonstrate a viable pathway for harnessing quantum-inspired ideas to tackle complex symbolic problems.