论文标题

统一计算CQ-MAC来源总和的方法

Unified approach for computing sum of sources over CQ-MAC

论文作者

Sohail, Mohammad Aamir, Atif, Touheed Anwar, Pradhan, S. Sandeep, Padakandla, Arun

论文摘要

我们考虑在经典的量化多元访问通道(CQ-MAC)上传达两个经典源的通用双变量函数的任务。在CQ-MAC的编码器上观察到这两个来源,而解码器的目的是从接收到的量子状态重建双变量函数。受到针对类似古典环境开发的技术的启发,并采用了为经典量词设置开发的同时(联合)解码技术,我们建议和分析基于代数结构化和非结构化代码的融合的编码方案。该编码方案允许利用来源和不对称的对称结构。我们得出了一组新的足够条件,这些条件严格扩大了任何给定的CQ-MAC最大的已知来源集(能够传达双变量函数)。我们根据单字母量子信息理论数量提供这些条件。

We consider the task of communicating a generic bivariate function of two classical sources over a Classical-Quantum Multiple Access Channel (CQ-MAC). The two sources are observed at the encoders of the CQ-MAC, and the decoder aims at reconstructing a bivariate function from the received quantum state. Inspired by the techniques developed for the analogous classical setting, and employing the technique of simultaneous (joint) decoding developed for the classical-quantum setting, we propose and analyze a coding scheme based on a fusion of algebraic structured and unstructured codes. This coding scheme allows exploiting both the symmetric structure common amongst the sources and the asymmetries. We derive a new set of sufficient conditions that strictly enlarges the largest known set of sources (capable of communicating the bivariate function) for any given CQ-MAC. We provide these conditions in terms of single-letter quantum information-theoretic quantities.

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