一个量子离群点定理

摘要：

在最近的结果中，已经证明所有的抽样方法都会产生离群值。本文将这些结果推广到量子信息论。大秩的投影者在它们的像中必须包含纯量子态，这些纯量子态是外围态。否则，投影仪是外来的，因为它们与停止序列具有高互信息。因此，使用投影的量子编码方案，如舒马赫压缩，必须使用离群量子态进行通信。

英文摘要：

In recent results, it has been proven that all sampling methods produce outliers. In this paper, we extend these results to quantum information theory. Projectors of large rank must contain pure quantum states in their images that are outlying states. Otherwise, the projectors are exotic, in that they have high mutual information with the halting sequence. Thus quantum coding schemes that use projections, such as Schumacher compression, must communicate using outlier quantum states.

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。