Topological Quantum Error Correction Realization via Topological Quantum Computers
Jincheng Zhang
Abstract
This paper investigates the potential of utilizing topological quantum computers to achieve robust quantum error correction. The core claim centers on leveraging the unique physical properties of topological quantum computers – specifically, their inherent topological protection – to implement topological quantum error correction schemes. The proposed mechanism involves designing a quantum error-correcting code based on the interactions between entangled topological qubits within a physical topological structure. This approach allows for distributed error detection and correction, theoretically offering superior error correction rates and reduced resource requirements compared to traditional, single-qubit-based methods. The work explores the fundamental principles and theoretical framework for achieving topological quantum error correction, outlining key considerations for code design, qubit connectivity, and error mitigation strategies. The central focus is on demonstrating the feasibility of a topologically protected quantum code, contributing to the advancement of fault-tolerant quantum computing.