量子错误检测I：问题陈述
Quantum Error Detection I: Statement of the Problem
摘要：
I.本文主要研究量子码的检错问题。在第一部分中，我们研究了量子错误检测的可能问题设置。我们的目标是得到一个功能，描述了未检测到的错误的概率在自然的物理假设下传输与错误检测在去极化信道。我们讨论了可能的传输协议的稳定剂和无限制的量子码。在第一部分证明的结果表明，在所有的情况下，被认为是一个给定的代码的未检测到的错误的平均概率基本上是由一个相同的功能，其重量枚举。这使我们能够对未检测到的错误事件给出一致的定义。
英文摘要：
I. This paper is devoted to the problem of error detection with quantum codes. In the first part we examine possible problem settings for quantum error detection. Our goal is to derive a functional that describes the probability of undetected error under natural physical assumptions concerning transmission with error detection over the depolarizing channel. We discuss possible transmission protocols with stabilizer and unrestricted quantum codes. The set of results proved in Part I shows that in all the cases considered the average probability of undetected error for a given code is essentially given by one and the same function of its weight enumerators. This enables us to give a consistent definition of the undetected error event.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
