Reversibility of Channels and Information Geometry in Quantum Mechanical Systems

针对量子信道的信道可解析性问题，在不设平稳无记忆信道等假设的一般情况下，给出了基于信息谱法的通用公式。该公式可用于展示量子窃听信道编码和发送量子态的量子信道编码的一般公式。同时，针对一类静止无记忆信道，给出了适用于未知信道的通用信道可解析性编码定理，并给出了经典信道和经典量子信道的通用窃听信道编码定理。

Concerning channel resolvability for quantum channels, a general formula based on the information spectrum method was proved in a general setting without any assumption such as stationary memoryless channels. The formula can be applied to show general formulas for quantum wiretap channel coding and quantum channel coding for sending quantum states. Also, showing universal channel resolvability coding theorem, which can be available for unknown channels, for a class including stationary memoryless channels, an universal wiretap channel coding theorem for classical and classical-quantum channels was given.