This manuscript presents a construction method for quantum codes capable of correcting multiple deletion errors. By introducing two new alogorithms, the alternating sandwich mapping and the block error locator, the proposed method reduces deletion error correction to erasure error correction. Unlike previous quantum deletion error-correcting codes, our approach enables flexible code rates and eliminates the requirement of knowing the number of deletions.

翻译：本文提出了一种能够纠正多个删除错误的量子码构造方法。通过引入交替夹层映射与块错误定位器两种新算法，该方法将删除错误纠正问题简化为擦除错误纠正问题。与以往量子删除纠错码不同，本方法可实现灵活的码率配置，并消除了对已知删除数量的依赖。