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New entanglement-assisted quantum codes from k-Galois dual codes

机译：来自k-Galois对偶码的新的纠缠辅助量子码

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Entanglement-assisted quantum error-correcting (EAQEC, for short) codes use pre-existing entanglements between the sender and receiver to boost the rate of transmission. It is possible to construct an EAQEC code from any classical linear code, unlike standard quantum error-correcting codes, they can only be constructed from classical linear codes which contain their Hermitian dual codes. However, how to determine the parameters of ebits c in EAQEC codes is not an easy task. In this paper, let p be prime and e, k be integers, we construct six classes of EAQEC codes based on k-Galois dual codes over finite fields F-p(e), where 0 = k e. The parameter of ebits c of these EAQEC codes can be easily generated algebraically. Furthermore, the six classes of EAQEC codes are of maximal entanglement, most of which have better parameters than current EAQEC codes available. (C) 2018 Published by Elsevier Inc.
机译：纠缠辅助量子纠错（简称EAQEC）代码使用发送者和接收者之间预先存在的纠缠来提高传输速率。与标准量子纠错码不同，可以从任何经典线性码构造EAQEC码，而只能从包含其厄米对偶码的经典线性码构造它们。但是，如何确定EAQEC代码中的ebits参数并不是一件容易的事。在本文中，令p为素数，e，k为整数，我们在有限域F-p（e）上基于k-Galois对偶代码构造六类EAQEC代码，其中0 <= k

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