Quantum Topology: A Probabilistic Computing Framework
Jincheng Zhang
Abstract
Quantum topology, a fascinating and largely unexplored field, offers a unique perspective on the properties of spacetime and its implications for computation. This paper introduces a probabilistic computing framework predicated on the inherent properties of quantum topology, designed to efficiently calculate the probability of various quantum systems. We propose a novel algorithm leveraging quantum topology to provide a computationally effective method for optimization and simulation within the quantum realm. The core mechanism centers around exploiting the topological structure of quantum systems to guide the calculation of probabilities, offering a significant advancement over existing approaches. This work explores the potential of this framework for enhancing quantum algorithms and providing a robust foundation for quantum-enhanced computation.