Fundamental limits on communication rates over quantum channels are given by mathematical expressions involving entropic formulas. Often, it is unclear if these expressions are computable. This thesis describes contributions to the study of optimizing and approximating entropic formulas over relevant subsets of quantum states. It also describes progress on a quantum erasure simulation problem in the high noise regime.

翻译：量子信道上通信速率的基本极限由涉及熵公式的数学表达式给出。通常，这些表达式是否可计算尚不明确。本文描述了在相关量子态子集上优化和近似熵公式的研究贡献，同时也阐述了高噪声条件下量子擦除模拟问题的研究进展。