Quantum-Accelerated Constraint Propagation in Boolean Algebra
Jincheng Zhang
Abstract
This paper presents a novel quantum algorithm for efficient constraint propagation within Boolean algebra, designed to dramatically enhance the speed of solving complex SAT problems. Traditional methods often struggle with the exponential complexity of exhaustive search, limiting the scalability of these problems. We propose a quantum approach leveraging quantum superposition and entanglement to explore a larger search space concurrently, thereby reducing the computational burden and enabling faster solution times. The core mechanism centers on manipulating the state space to represent and explore potential assignments more efficiently. This research demonstrates the potential of quantum algorithms to overcome fundamental computational bottlenecks in SAT solving, offering a significant advancement in the field.