Geometric Transformation Quantum Computation
Jincheng Zhang
Abstract
This paper explores the potential of geometric transformation quantum computation (GTQC) as a novel approach to quantum information processing. Traditional quantum computation relies heavily on manipulating individual quantum states, while GTQC leverages geometric transformations to encode and manipulate quantum information with enhanced precision and efficiency. This work presents a framework for achieving precise control over quantum states through the application of geometric transformations, offering a fundamentally different paradigm for quantum computation. The core mechanism focuses on utilizing geometric transformations to achieve higher fidelity in quantum state manipulations, addressing limitations in current quantum algorithms. The study investigates the design of a GTQC algorithm and its potential for practical applications, emphasizing the benefits of geometric transformations in enhancing the reliability and control of quantum information.