Quantum Topological Field Theory: A Geometric Optimization Algorithm for Quantum Computing
Jincheng Zhang
Abstract
Quantum Topological Field Theory (QTTF) presents a novel framework for designing and optimizing quantum computation, leveraging the inherent properties of quantum topology. This paper investigates the application of QTTF to the design of quantum circuits, focusing on achieving enhanced quantum information storage and transmission efficiency. We propose a geometric optimization algorithm driven by QTTF principles, specifically utilizing the self-similarity inherent in topological structures to improve circuit performance and quantum information density. The core mechanism involves the application of QTTF's self-relevant properties to circuit optimization, leading to a significant advancement in quantum computing's capabilities. This work explores the potential of QTTF to revolutionize quantum information processing.