论文标题

从经典删除代码得出的量子删除代码(扩展摘要)

Quantum Deletion Codes derived from Classical Deletion Codes (Extended Abstract)

论文作者

Hagiwara, Manabu

论文摘要

该手稿是该论文的扩展抽象版本,标题为``从经典删除代码中得出的量子删除代码。''。本文提出了一个代码构建条件,用于分区经典删除错误校正校正代码,以得出量子删除误差校正代码。本文中的构造方法给出了量子代码的示例,这些量子代码可以纠正单量子缺失错误并任意接近1的代码速率,而先前已知的量子删除代码速率长度接近0。此手稿省略了论文中陈述的证据。

This manuscript is an extended abstract version of the paper entitled ``Quantum Deletion Codes derived from Classical Deletion Codes.'' The paper contributes to the fundamental theory for quantum deletion error-correcting codes. The paper proposes a code construction condition for a partition of classical deletion error-correcting codes to derive quantum deletion error-correcting codes. The construction methods in this paper give examples of quantum codes that can correct single-quantum deletion errors and have a code rate arbitrarily close to 1, while the previously known quantum deletion code rates are close to 0 for long length. This manuscript omits the proofs of the statements in the paper.

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