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arXiv · 2305.08517

New entanglement-assisted quantum codes from negacyclic codes

Xiaojing Chen·Xingbo Lu·Shixin Zhu·Wan Jiang·Xindi Wang
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Abstract

The theory of entanglement-assisted quantum error-correcting codes (EAQECCs) is a generalization of the standard stabilizer quantum error-correcting codes, which can be possibly constructed from any classical codes by relaxing the duality condition and utilizing preshared entanglement between the sender and receiver. In this paper, a new family of EAQECCs is constructed from negacyclic codes of length $n=\frac{q^2+1}{a}$, where $q$ is an odd prime power, $a=\frac{m^2+1}{2}$ and $m$ is an odd integer. Some new entanglement-assisted quantum maximum distance separable (EAQMDS) codes are obtained in the sense that their parameters are not covered by the previously known ones.

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Xiaojing Chen, Xingbo Lu, Shixin Zhu, Wan Jiang, Xindi Wang. 2023-05-15. New entanglement-assisted quantum codes from negacyclic codes. https://arxiv.org/abs/2305.08517

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