We present a lower bound for Pauli Manipulation Detection (PMD) codes, which enables the detection of every Pauli error with high probability and can be used to construct quantum erasure and tamper-detection codes. Our lower bound reveals the first trade-off between the error and the redundancy parameters in PMD codes.

翻译：我们提出了泡利操作检测（PMD）码的一个下界，该码能够以高概率检测所有泡利错误，并可用于构建量子擦除与篡改检测码。我们的下界揭示了PMD码中错误参数与冗余参数之间的首个权衡关系。