Quantifying the resource content of quantum channels: an operational approach

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 fre...

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Bibliographic Details
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.
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Online Access:Get fulltext
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100 1 0 |a Li, Lu  |e author 
100 1 0 |a Massachusetts Institute of Technology. Center for Theoretical Physics  |e contributor 
100 1 0 |a Massachusetts Institute of Technology. Research Laboratory of Electronics  |e contributor 
100 1 0 |a Massachusetts Institute of Technology. Department of Physics  |e contributor 
700 1 0 |a Bu, Kaifeng  |e author 
700 1 0 |a Liu, Zi-Wen  |e author 
245 0 0 |a Quantifying the resource content of quantum channels: an operational approach 
260 |b American Physical Society,   |c 2020-04-15T17:11:19Z. 
856 |z Get fulltext  |u https://hdl.handle.net/1721.1/124659 
520 |a 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 
520 |a Templeton Religion Trust (grant: TRT 0159) 
520 |a ARO (grant: W911NF1910302) 
546 |a en 
655 7 |a Article 
773 |t Physical review A