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.
翻译:本手稿是题为“从古典删除代码中衍生出的量子删除代码”的论文的扩展摘要版。'本文有助于量子删除错误校正代码的基本理论。本文提出了一个用于分割经典删除错误校正代码的代码以得出量子删除错误校正代码的代码的代码构建条件。本文件的构建方法提供了量子代码的例子,这些代码可以纠正单分子删除错误,并使代码率任意接近于1,而先前已知的量子删除代码率长短接近0。本手稿省略了文件中的语句证明。