论文标题

单量子删除误差校正代码

Single Quantum Deletion Error-Correcting Codes

论文作者

Nakayama, Ayumu, Hagiwara, Manabu

论文摘要

在本文中,我们讨论了量子缺失误差校正代码的构造方法。首先,我们为量子状态,编码器,解码器和两个仅由组合语言表达的条件定义删除错误。然后,我们证明可以通过满足条件的两个集合来构建量子删除误差校正代码。换句话说,纠正量子状态的删除错误的问题将减少到找到满足本文条件的集合的问题。另外,我们对IBM量子体验进行了实验。

In this paper, we discuss a construction method of quantum deletion error-correcting codes. First of all, we define deletion errors for quantum states, an encoder, a decoder, and two conditions which is expressed by only the combinatorial language. Then, we prove that quantum deletion error-correcting codes can be constructed by two sets that satisfy the conditions. In other words, problems that correct the deletion errors for quantum states are reduced to problems that find the sets satisfying the condition by this paper. Also, we performed experiment of the codes over IBM Quantum Experience.

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