Abstract
We present bounds for distilling many copies of a pure state from an arbitrary initial state in a general quantum resource theory. Our bounds apply to operations that are able to generate no more than a amount of resource, where is a given parameter. To maximize applicability of our upper bound, we assume little structure on the set of free states under consideration besides a weak form of superadditivity of the function , which measures the overlap between and the set of free states. Our bounds are given in terms of this function and the robustness of resource. Known results in coherence and entanglement theory are reproduced in this more general framework.
- Received 14 July 2020
- Accepted 13 October 2020
DOI:https://doi.org/10.1103/PhysRevA.102.052403
©2020 American Physical Society