Abstract: One of the most fundamental questions in quantum information concerns with the amount of information that can be transmitted reliably through a quantum channel. For that, many capacities and entropies were introduced for describing the capability of the quantum channel for delivering information from the sender to the receiver. In this talk, we will explain how to obtain the exact val...
Note: There is no lecture on May 3, 2022 for it's Labor Day Holiday.Abstract:The first half of the course is devoted to explaining fundamental concepts, terms, facts and tools in probability theory and stochastic analysis. Then, in the second half, we pick up some topics in stochastic partial differential equations as applications of stochastic analysis.Contents:(1) Foundations of Probability ...