Quantum Information Topological Field Theory
Jincheng Zhang
Abstract
Quantum information theory has long been considered a promising avenue for advancing computational capabilities, particularly in the realm of quantum computing. However, existing quantum computing paradigms often rely on the manipulation of discrete quantum states and the execution of specific quantum gates. This research proposes a novel theoretical framework, the Quantum Information Topological Field Theory (QITFT), which explicitly integrates quantum entanglement with topological fields, offering a fundamentally new approach to computation. We aim to explore how the interplay between these two phenomena can lead to enhanced computational properties and a potential expansion of the quantum computing landscape. This work focuses on the core mechanisms of constructing a quantum computation process centered around the exploitation of quantum entanglement and topological field alignment. The current design incorporates a quantum entanglement-induced topological field formation, which is hypothesized to yield enhanced computational capabilities. This theory represents a departure from traditional quantum computing approaches, potentially addressing long-standing challenges and opening new avenues for algorithmic design.