标题： 量子阅读的极化码 显示英文标题

标题： Polar Codes for Quantum Reading

摘要： 量子阅读提供了一个通用框架，用于制定量子信道的统计区分方法。针对该问题已经采取了几条路径。然而，在利用经典码优化信道区分方面还有很多工作要做。至少可以指出两个开放性问题：如何构建低复杂度的编码方案，这对于信道区分来说是有意义的；更重要的是，如何开发能够达到容量的协议。本文旨在使用极化码来解决这些问题。首先，我们表征了极化编码下信道的速率和可靠性。我们还证明所提出的方案的错误概率随着码长呈指数衰减。最后，给出了用于探针的最优量子态的分析。 显示英文摘要

摘要： Quantum reading provides a general framework where to formulate the statistical discrimination of quantum channels. Several paths have been taken for such a problem. However, there is much to be done in the avenue of optimizing channel discrimination using classical codes. At least two open questions can be pointed to: how to construct low complexity encoding schemes that are interesting for channel discrimination and, more importantly, how to develop capacity-achieving protocols. The aim of this paper is to present a solution to these questions using polar codes. Firstly, we characterize the rate and reliability of the channels under polar encoding. We also show that the error probability of the scheme proposed decays exponentially with respect to the code length. Lastly, an analysis of the optimal quantum states to be used as probes is given.