标题： 一种构造EAQEC MDS码的新方法 显示英文标题

标题： A new method for constructing EAQEC MDS codes

摘要： 纠缠辅助量子纠错(EAQEC)码利用发送方和接收方之间的预存纠缠来提高传输速率。 可以使用任何经典线性码来构造EAQEC码，这与标准量子纠错码不同，后者只能从对偶包含码中构造。 然而，通常通过计算机搜索计算预共享最大纠缠态的数量$c$。 在本文中，我们首先给出一个用于计算预共享最大纠缠态数量$c$的新公式。 然后，使用这个公式，我们构造了三类新的纠缠辅助量子纠错最大距离可分(EAQEC MDS)码。 显示英文摘要

摘要： Entanglement-assisted quantum error-correcting (EAQEC) codes make use of preexisting entanglement 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, which can only be constructed from dual-containing codes. However, the number $c$ of pre-shared maximally entangled states is usually calculated by computer search. In this paper, we first give a new formula for calculating the number $c$ of pre-shared maximally entangled states. Then, using this formula, we construct three classes of new entanglement-assisted quantum error-correcting maximum-distance-separable ( EAQEC MDS) codes.