Group transference techniques for the estimation of the decoherence times and capacities of quantum Markov semigroups

Understand

Capacities of quantum channels and decoherence times both quantify the extent to which quantum information can withstand degradation by interactions with its environment.

• However, calculating capacities directly is known to be intractable in general.
• Much recent work has focused on upper bounding certain capacities in terms of more tractable quantities such as specific norms from operator theory.
• In the meantime, there has also been substantial recent progress on estimating decoherence times with techniques from analysis and geometry, even though many hard questions remain open.