Geometric-Structured Quantum Computing
Jincheng Zhang
Abstract
Geometric-Structured Quantum Computing represents a paradigm shift in the design of quantum algorithms and hardware, leveraging the inherent geometric properties of quantum systems to fundamentally alter the process of quantum computation. This paper explores the core concept of utilizing geometric structures as the foundation for quantum computing, proposing a mechanism to transform quantum qubit and gate structures into geometric representations, enabling novel optimization and computation strategies. The paper argues that this approach offers significant advantages over traditional methods, particularly in the context of algorithm design, error mitigation, and overall hardware architecture. We detail the core mechanisms behind this paradigm, providing a foundational understanding of the potential for this new approach.