Explainable Quantum Computing Model
Jincheng Zhang
Abstract
Quantum computing presents a paradigm shift in computation, offering the potential to solve problems intractable for classical computers. However, the inherent complexity of quantum mechanics poses a significant challenge: the lack of interpretability. This paper introduces an Explainable Quantum Computing Model (EQCM), built upon the foundations of probability logic and information theory, designed to provide a transparent understanding of quantum computation processes and outcomes. The model aims to bridge the gap between the abstract nature of quantum algorithms and human intuition. We propose a framework where quantum operations are represented and interpreted within a probabilistic logic framework, allowing for the tracing and explanation of quantum state transformations. The core of the EQCM lies in quantifying uncertainty and leveraging information theory to derive explanations for observed quantum behaviors. This work contributes to the growing field of quantum explainability, paving the way for improved debugging, validation, and ultimately, wider adoption of quantum computing technologies. The model's key features include a probabilistic representation of quantum states, a formal method for tracking quantum operations, and a mechanism for quantifying the degree of uncertainty associated with quantum outcomes. We demonstrate how this framework can be applied to simple quantum algorithms, providing insights into their underlying mechanisms.