Sharif Digital Repository

As the membrane technology developed at the last 30 years, the relevant processes have been significantly developed. One of which is the chlor alkali technology. The development of membrane technology and its effect on Chlor-Alkali process is capable of evaluation in to two different fields, environmental and energy consumption. Some of environmental problems of mercury and diaphragm processes because of their technological development have been eliminated the energy consumption of these processes is significantly decreased especially in membrane and diaphragm processes. Recently investigation in the field of membrane cell is more focused on cell construction, depolarized cathodes, and fluid... 

We study four well-known capacities of a two-parameter family of qubit Pauli channels. These are the channels that are covariant under the SO(2) group and contain the depolarizing channel as a special case. We find exact expressions for the classical capacity and entanglement-assisted capacities, and analytically determine the regions where the quantum capacity of the channel vanishes. We then use a flag extension to find upper bound for the quantum capacity and private capacity of these channels in the entire region of parameter space and also obtain the lower bound for the quantum capacity by calculating the single-shot quantum capacity numerically. In conjunction with previous results on...