论文标题
量子读数的极性代码
Polar Codes for Quantum Reading
论文作者
论文摘要
量子读数提供了一个一般框架，以制定量子通道的统计区分。解决了这一问题的几条路径。但是，在使用经典代码优化渠道歧视的途径中有很多事情要做。至少可以指出两个开放性问题：如何构建对渠道歧视很有趣的编码方案的低复杂性，更重要的是，如何制定能力实现协议。本文的目的是使用极地代码提出解决这些问题的解决方案。首先，我们表征了极性编码下的通道的速率和可靠性。我们还表明，提出的方案的错误概率相对于代码长度呈指数衰减。最后，对要用作探针的最佳量子状态进行分析。
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.
