Quantum Geometry Information Theory
Jincheng Zhang
Abstract
Quantum Geometry Information Theory explores the potential of quantum computing to revolutionize the storage and computation of geometric information. This paper proposes a novel framework predicated on the unique properties of quantum states, quantum entanglement, and quantum superposition to accelerate complex geometric problems. The core mechanism centers around encoding geometric data as quantum states and leveraging these properties for a faster computational process compared to classical methods. The research investigates the feasibility of utilizing quantum geometry for tackling problems in geometry, topology, and related fields. This work aims to demonstrate the practical applications of quantum information theory within the domain of geometric computation, highlighting its potential to significantly advance the field.