Application of the Resource Theory of Channels to Communication Scenarios
We introduce a resource theory of channels relevant to communication via quantum channels, in which the set of constant channels—useless channels for communication tasks—are considered as free resources. We find that our theory with such a simple structure is useful to address central problems in qu...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society (APS)
2020
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| Online Access: | https://hdl.handle.net/1721.1/125817 |
| _version_ | 1826207335476887552 |
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| author | Takagi, Ryuji Wang, Kun Hayashi, Masahito |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Takagi, Ryuji Wang, Kun Hayashi, Masahito |
| author_sort | Takagi, Ryuji |
| collection | MIT |
| description | We introduce a resource theory of channels relevant to communication via quantum channels, in which the set of constant channels—useless channels for communication tasks—are considered as free resources. We find that our theory with such a simple structure is useful to address central problems in quantum Shannon theory—in particular, we provide a converse bound for the one-shot nonsignaling assisted classical capacity that naturally leads to its strong converse property, as well as obtain the one-shot channel simulation cost with nonsignaling assistance. We clarify an intimate connection between the nonsignaling assistance and our formalism by identifying the nonsignaling assisted channel coding with the channel transformation under the maximal set of resource nongenerating superchannels, providing a physical characterization of the latter. Our results provide new perspectives and concise arguments to those problems, connecting the recently developed fields of resource theories to “classic” settings in quantum information theory and shedding light on the validity of resource theories of channels as effective tools to address practical problems. |
| first_indexed | 2024-09-23T13:47:43Z |
| format | Article |
| id | mit-1721.1/125817 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T13:47:43Z |
| publishDate | 2020 |
| publisher | American Physical Society (APS) |
| record_format | dspace |
| spelling | mit-1721.1/1258172022-09-28T16:16:27Z Application of the Resource Theory of Channels to Communication Scenarios Takagi, Ryuji Wang, Kun Hayashi, Masahito Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Physics We introduce a resource theory of channels relevant to communication via quantum channels, in which the set of constant channels—useless channels for communication tasks—are considered as free resources. We find that our theory with such a simple structure is useful to address central problems in quantum Shannon theory—in particular, we provide a converse bound for the one-shot nonsignaling assisted classical capacity that naturally leads to its strong converse property, as well as obtain the one-shot channel simulation cost with nonsignaling assistance. We clarify an intimate connection between the nonsignaling assistance and our formalism by identifying the nonsignaling assisted channel coding with the channel transformation under the maximal set of resource nongenerating superchannels, providing a physical characterization of the latter. Our results provide new perspectives and concise arguments to those problems, connecting the recently developed fields of resource theories to “classic” settings in quantum information theory and shedding light on the validity of resource theories of channels as effective tools to address practical problems. SPS Grant-in-Aid for Scientific Research (A) No. 17H01280 and for Scientific Research (B) No. 16KT0017 2020-06-16T15:08:57Z 2020-06-16T15:08:57Z 2020-03 2019-11 2020-03-25T14:27:39Z Article http://purl.org/eprint/type/JournalArticle 0031-9007 1079-7114 https://hdl.handle.net/1721.1/125817 Takagi, Ryuji, Kun Wang, and Masahito Hayashi. "Application of the Resource Theory of Channels to Communication Scenarios." Physical Review Letters, 124, 12 (March 2020): 120502. © 2020 American Physical Society en http://dx.doi.org/10.1103/PhysRevLett.124.120502 Physical Review Letters Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. American Physical Society application/pdf American Physical Society (APS) American Physical Society |
| spellingShingle | Takagi, Ryuji Wang, Kun Hayashi, Masahito Application of the Resource Theory of Channels to Communication Scenarios |
| title | Application of the Resource Theory of Channels to Communication Scenarios |
| title_full | Application of the Resource Theory of Channels to Communication Scenarios |
| title_fullStr | Application of the Resource Theory of Channels to Communication Scenarios |
| title_full_unstemmed | Application of the Resource Theory of Channels to Communication Scenarios |
| title_short | Application of the Resource Theory of Channels to Communication Scenarios |
| title_sort | application of the resource theory of channels to communication scenarios |
| url | https://hdl.handle.net/1721.1/125817 |
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