Quantifying the resource content of quantum channels: an operational approach
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PhysRevA.101.022335.pdf
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Author(s) • •
Li, Lu
Bu, Kaifeng
Liu, Zi-Wen
Date Issued
February 2020
Journal
Physical review A
Publisher
American Physical Society
Citation
Li, Lu, Kaifeng Bu, and Zi-Wen Liu, "Quantifying the resource content of quantum channels: an operational approach." Physical review A 101 (2020): no. 022335 doi 10.1103/PhysRevA.101.022335 ©2020 Author(s)
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Final published version
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. ©2019
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Research Laboratory of Electronics
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1103/PhysRevA.101.022335