Completing the Grand Tour of asymptotic quantum coherence manipulation

Understand

We compute on all quantum states several measures that characterise asymptotic quantum coherence manipulation under restricted classes of operations.

• We focus on the distillable coherence, i.e.
• the maximum rate of production of approximate pure bits of coherence starting from independent copies of an input state $\rho$, and on the coherence cost, i.e.
• the minimum rate of consumption of pure coherence bits that is needed to generate many copies of $\rho$ with vanishing error.