论文标题
构建EAQEC MDS代码的新方法
A new method for constructing EAQEC MDS codes
论文作者
论文摘要
纠缠辅助量子误差校正（EAQEC）代码可利用发件人和接收器之间的纠缠来提高传输速率。与标准量子误差校正代码不同，可以从任何经典的线性代码构建EAQEC代码，该代码只能通过双重码代码构建。但是，通常通过计算机搜索来计算前共享的最大纠结状态的数字$ c $。在本文中，我们首先提供了一个新的公式，用于计算预分享的最大纠缠状态的数字$ c $。然后，使用此公式，我们构建了三类新的纠缠量子误差校正最大距离分离（EAQEC MDS）代码。
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.
