信息时代的卡诺：离散对称信道
Carnot in the Information Age: Discrete Symmetric Channels
摘要：
将通信信道建模为热系统导致作为温度的显式函数的哈密顿量。前两位作者最近将热力学第二定律推广到包含具有依赖于温度的能级$dQ=TdS+<d\mathcal{E}/dT>dT$的系统，其中{ $<\cdot>$ }表示玻尔兹曼分布的平均值，重新计算互信息和流行的高斯通道的其他主要属性。在这里的二进制对称通道以及离散对称通道组成的4个输入/输出（I/O）符号的互信息显式计算使用广义热力学第二定律。对于等概率I/O，所检查通道的互信息具有非常简单的形式- $γU(γ)|_0^β$，其中$U$表示通道的内能。我们证明了这种简单形式的互信息管理类离散无记忆对称通信通道等概率I/O符号。
英文摘要：
Modeling communication channels as thermal systems results in Hamiltonians which are an explicit function of the temperature. The first two authors have recently generalized the second thermodynamic law to encompass systems with temperature-dependent energy levels, $dQ=TdS+<d\mathcal{E}/dT>dT$, where {$<\cdot>$} denotes averaging over the Boltzmann distribution, recomputing the mutual information and other main properties of the popular Gaussian channel. Here the mutual information for the binary symmetric channel as well as for the discrete symmetric channel consisting of 4 input/output (I/O) symbols is explicitly calculated using the generalized second law of thermodynamics. For equiprobable I/O the mutual information of the examined channels has a very simple form, -$γU(γ)|_0^β$, where $U$ denotes the internal energy of the channel. We prove that this simple form of the mutual information governs the class of discrete memoryless symmetric communication channels with equiprobable I/O symbols.
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