##基于多量子比特的量子纠错码设计

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

This paper presents a novel design for a multi-qubit quantum error correction code, aimed at effectively correcting errors in quantum information. The core of the design leverages the entanglement properties inherent in multi-qubit systems to construct a code capable of achieving fault-tolerant quantum computation. The proposed code utilizes a layered approach, employing a series of parity checks across multiple entangled qubits. We formally define the code's parameters, including the code rate, distance, and minimum distance, and outline the encoding and decoding procedures. The theoretical analysis demonstrates the code's ability to correct errors up to a certain threshold, illustrating its potential for enhancing the reliability of quantum computations. The research contributes to the critical advancement of quantum error correction, a cornerstone technology for realizing scalable and robust quantum computers. The key elements of the design are presented, focusing on the mathematical framework and operational protocols.

DOI: 10.5281/zenodo.22194650

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