New Instances of Quantum Error-Correcting Codes for Single Deletion Errors
New Instances of Quantum Error-Correcting Codes for Single Deletion Errors
复制标题
针对单个删除错误的量子纠错码的新实例
DOI：
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复制
发表时间：
2020
期刊：
影响因子：
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通讯作者：
Taro Shibayama
中科院分区：
文献类型：
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作者：
Taro Shibayama
本文提供了量子错误校正代码的新实例。根据Nakayama和Hagiwara的最新结果，通过使用满足三个条件的两组二进制序列，我们可以为单个缺失误差构造量子误差校正代码。但是，迄今为止，只有两组满足这三个条件的实例。本研究构建了满足这三个条件的两个无限集。换句话说，本文为单个删除错误构建了新的无限量量子误差校正代码。
This paper provides new instances of quantum error-correcting codes. According to recent results by Nakayama and Hagiwara, by using two sets of binary sequences that satisfy three conditions, we can construct quantum error-correcting codes for single deletion errors. However, only two instances of two sets that satisfy the three conditions have been found to date. The present study constructs two infinite series of sets that satisfy the three conditions. In other words, this paper constructs new infinite series of quantum error-correcting codes for single deletion errors.
影响因子：
2.9
作者：
Calderbank, AR;Shor, PW
通讯作者：
Shor, PW