Quantifying the resource content of quantum channels: an operational approach

• Main Authors: Li, Lu (Author), Bu, Kaifeng (Author), Liu, Zi-Wen (Author)
• Other Authors: Massachusetts Institute of Technology. Center for Theoretical Physics (Contributor), Massachusetts Institute of Technology. Research Laboratory of Electronics (Contributor), Massachusetts Institute of Technology. Department of Physics (Contributor)
• Format: Article
• Language: English
• Published: American Physical Society, 2020-04-15T17:11:19Z.
• Subjects: Article
• Online Access: Get fulltext

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. ©2019
Templeton Religion Trust (grant: TRT 0159)
ARO (grant: W911NF1910302)