Quantifying the resource content of quantum channels: An operational approach
Abstract
We propose a general method to operationally quantify the resourcefulness of quantum channels via channel discrimination, an important information processing task. A main result is that the maximum success probability of distinguishing a given channel from the set of free channels by free probe states is exactly characterized by the resource generating power, i.e. the maximum amount of resource produced by the action of the channel, given by the trace distance to the set of free states. We apply this framework to the resource theory of quantum coherence, as an informative example. The general results can also be easily applied to other resource theories such as entanglement, magic states, and asymmetry.
 Publication:

arXiv eprints
 Pub Date:
 December 2018
 DOI:
 10.48550/arXiv.1812.02572
 arXiv:
 arXiv:1812.02572
 Bibcode:
 2018arXiv181202572L
 Keywords:

 Quantum Physics;
 Mathematical Physics
 EPrint:
 v2. 9 pages, new references are added v1. 8 pages, no figures