Interesting, but the paper seems to have a nasty habit of simply redefining what "capacity" means in a quantum context
The quantum capacity is defined completely analogous to the classical capacity of the channel; the number of error free qubits you can transfer per signal. Since a quantum channel can also be used to transfer classical information (by measuring the output), it also has a classical capacity. Since quantum information cannot be copied without errors it also has a private (or secret) capacity. All capacities are the number of error free quantum/private/classical bits per signal, optimized over all possible encodings.
And it should be the law: If you use the word `paradigm' without knowing what the dictionary says it means, you go to jail. No exceptions. -- David Jones