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arXiv · 2408.09334

EAQEC codes from s-Galois hulls decomposition of linear codes

Hui Li·Xiusheng Liu
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Abstract

Entanglement-assisted quantum error-correcting (EAQEC) codes are a subclass of quantum error-correcting codes which use entanglement as a resource. These codes can provide error correction capability higher than the codes derived from the traditional stabilizer formalism. In this paper, we first give a s-Galois hulls decomposition of linear codes over finite fields. By means of this decomposition, we provide a method to construct EAQEC codes. Using this method, we construct new EAQEC codes.

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Hui Li, Xiusheng Liu. 2024-08-18. EAQEC codes from s-Galois hulls decomposition of linear codes. https://arxiv.org/abs/2408.09334

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