Geometric Information Theory: A Quantum Computing Paradigm
Jincheng Zhang
Abstract
Geometric Information Theory (GIT) offers a novel approach to quantum computation by leveraging geometric structure as a fundamental basis for quantum information. This paper explores the integration of GIT with quantum computing, focusing on the design of a quantum algorithm specifically tailored for efficient processing of large geometric datasets. We present a detailed conceptual framework, outlining the core mechanisms and potential benefits of this hybrid approach. The research demonstrates the feasibility of utilizing geometric structures as a key component of a quantum computation, aiming to significantly enhance computational performance for complex geometric tasks.