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.
翻译：量子读数提供了一个用于制定量子频道统计歧视的一般框架。 已经为这一问题采取了几种途径。 但是,在利用古典代码优化频道歧视的渠道方面仍有许多工作要做。 至少可以指出两个未决问题: 如何构建对频道歧视感兴趣的低复杂编码计划, 更重要的是, 如何开发实现能力协议。 本文的目的是用极地代码对这些问题提出解决办法。 首先, 我们确定极地编码下的频道的频率和可靠性。 我们还表明, 提议的计划在代码长度方面的误差概率是指数指数性的。 最后, 分析了用于探测的最佳数量状态 。
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