Conditional Rényi entropy and the relationships between Rényi capacities

$α$-互信息的几种表示及其作为隐私泄露度量的解释

Several Representations of $α$-Mutual Information and Interpretations as Privacy Leakage Measures

本文基于Rényi散度和条件Rényi熵，提出了$α$-互信息的新表示，并利用广义均值和增益函数解释其作为隐私泄露度量的意义，同时提出满足条件化降低熵的新型条件Rényi熵。

Tight continuity bounds for the quantum conditional mutual information, for the Holevo quantity and for capacities of quantum channels

We start with Fannes' type and Winter's type tight continuity bounds for the quantum conditional mutual information and their specifications for states of special types. Then we analyse continuity of the Holevo quantity with respect to nonequivalent metrics on the set of discrete ensembles of quantum states. We show that the Holevo quantity is continuous on the set of all ensembles of m states with respect to all the metrics if either m or the dimension of underlying Hilbert space is finite and obtain Fannes' type tight continuity bounds for the Holevo quantity in this case. In general case co…

极化分解及其应用

Polarization Decomposition and Its Applications

本文提出基于极化因子的极化分解框架，建立极化因子与 n 叉树的一一对应关系，并利用剪枝算法高效计算任意二进制输入无记忆信道中所有子信道的对称容量，用于极化码构造。

Non-existence of certain kind of finite-letter mutual information characterization for a class of time-invariant Markoff channels

We provide a rigorous definition of a certain kind of characterization for capacity regions of a family of Markoff networks which is based on optimization problems resulting out of calculating conditional mutual information from a finite number of random variables and by constraining these random variables in a certain way. This definition is partly motivated by the definition of single-letter characterizations in information theory. For a point-to-point Markoff channel, we prove that approximating the solution to these characterizations within an additive constant is a computable problem. Bas…