This paper presents conditions for constructing permutation-invariant quantum codes for deletion errors and provides a method for constructing them. Our codes give the first example of quantum codes that can correct two or more deletion errors. Also, our codes give the first example of quantum codes that can correct both multiple-qubit errors and multiple-deletion errors. We also discuss a generalization of the construction of our codes at the end.

翻译：本文件介绍了为删除错误构建变异量代码的条件,并为构建这些错误提供了方法。我们的代码提供了第一个能够纠正两个或更多删除错误的量代码示例。此外,我们的代码提供了第一个能够纠正多位位数错误和多位删除错误的量代码示例。我们还讨论了最终构建我们代码的概略性。