Quantum Error Correction Coding and Synergistic Optimization of Topological Quantum Computers
Jincheng Zhang
Abstract
This paper investigates the synergistic optimization between quantum error correction (QEC) coding schemes and topological quantum computers (TQC). The core claim is that a deep integration of QEC strategies with the physical topology of TQC can achieve enhanced quantum bit (qubit) error resilience and computational efficiency. The proposed mechanism leverages the inherent topological error correction properties of TQC, designing tailored QEC codes and simultaneously optimizing the topological structure to amplify error detection and correction capabilities. The research addresses a critical gap in the field by moving beyond conventional QEC approaches, which are not directly applicable to the unique characteristics of TQC. The work explores novel methods for maximizing the performance of TQC by considering the interplay between code design and topological architecture. Ultimately, this research contributes to a pathway towards building more robust and efficient quantum computers based on topological principles.