Title: Quantum-Enhanced Boolean Algebra with Probabilistic Logic
Jincheng Zhang
Abstract
Quantum-enhanced Boolean Algebra represents a novel approach to logical computation leveraging the unique properties of quantum mechanics, specifically entanglement. This paper explores the development of a new Boolean Algebra structure predicated on probabilistic logic, aiming to achieve exponential speedups in computation through the integration of quantum phenomena. We detail the core mechanism of entanglement-based truth-value determination, outlining the potential benefits and challenges of this paradigm shift. The paper presents a theoretical framework and preliminary experimental explorations, demonstrating the feasibility of this approach, although significant technological hurdles remain.