Quantum channels are mathematically formulated as certain maps that transform the state of a quantum system into the state of another quantum system. There are well-understood descriptions of the possible form of a quantum channel in terms of some more basic building blocks. For quantum information processing it is desirable to monitor and control the changes imposed on quantum states arising from deviations in quantum channels when the systems undergo some time evolution. This requires having good notions of a distance on the set of quantum channels. The project will look at one or several notions of distance on the set of quantum channels with focus on particular classes of channels where one can carry out explicit computations.
Prerequisite knowledge: