Core Claim: Design a quantum computing framework based on adaptive geometry, leveraging adaptive geometry transformations to enhance quantum computing efficiency and accuracy.
Jincheng Zhang
Abstract
Quantum computing, leveraging the principles of superposition and entanglement, holds immense promise for scientific discovery and technological advancement. However, current quantum computing architectures face significant challenges related to qubit stability, coherence, and scalability. This research presents a novel quantum computing framework, termed Adaptive Geometry Quantum Computing (AGQC) framework, designed to address these challenges. The AGQC framework incorporates dynamically adjustable geometric transformations to optimize qubit control, reduce noise, and enhance computational capabilities. We explore the fundamental principles and implementation details of this framework, demonstrating its potential to significantly improve the performance of quantum algorithms. This paper details the core mechanism of the AGQC framework, including the geometric transformation layers, their associated operations, and the resulting impact on quantum state evolution. We present a theoretical analysis of the framework's effectiveness and discuss its implications for future research and development in quantum computing. The goal of this work is to establish a robust and adaptable quantum computing paradigm, capable of accelerating the development of practical quantum applications.