论文标题

分析计算公式,用于经典和经典量子通道的能力

Analytical calculation formulas for capacities of classical and classical-quantum channels

论文作者

Hayashi, Masahito

论文摘要

我们为经典通道的通道容量提供了一个分析计算公式,而无需任何迭代,而其现有算法需要迭代,并且迭代的数量取决于所需的精度级别。因此,我们的公式是其第一个没有任何迭代的分析公式。我们将获得的公式应用于示例,并在这些示例中查看获得的公式如何工作。然后,我们将其扩展到经典Quantum(CQ-)通道的通道容量。许多现有研究提出了针对CQ通道的算法,所有研究都需要迭代。我们的扩展分析算法也没有迭代,并输出精确的最佳值。

We derive an analytical calculation formula for the channel capacity of a classical channel without any iteration while its existing algorithms require iterations and the number of iteration depends on the required precision level. Hence, our formula is its first analytical formula without any iteration. We apply the obtained formula to examples and see how the obtained formula works in these examples. Then, we extend it to the channel capacity of a classical-quantum (cq-) channel. Many existing studies proposed algorithms for a cq-channel and all of them require iterations. Our extended analytical algorithm have also no iteration and output the exactly optimum values.

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