Vanishing quantum discord is not necessary for completely positive maps
The description of the dynamics of a system that may be correlated with its environment is only meaningful within the context of a specific framework. Different frameworks rely upon different assumptions about the initial system-environment state. We reexamine the connections between complete positi...
| Main Authors: | , , , , |
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| Format: | Journal article |
| Language: | English |
| Published: |
2013
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| _version_ | 1826279797901230080 |
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| author | Brodutch, A Datta, A Modi, K Rivas, A Rodriguez-Rosario, C |
| author_facet | Brodutch, A Datta, A Modi, K Rivas, A Rodriguez-Rosario, C |
| author_sort | Brodutch, A |
| collection | OXFORD |
| description | The description of the dynamics of a system that may be correlated with its environment is only meaningful within the context of a specific framework. Different frameworks rely upon different assumptions about the initial system-environment state. We reexamine the connections between complete positivity and quantum discord within two different sets of assumptions about the relevant family of initial states. We present an example of a system-environment state with nonvanishing quantum discord that leads to a completely positive map. This invalidates an earlier claim about the necessity of vanishing quantum discord for completely positive maps. In our final remarks, we discuss the physical validity of each approach. © 2013 American Physical Society. |
| first_indexed | 2024-03-07T00:04:10Z |
| format | Journal article |
| id | oxford-uuid:76f834e0-c159-4834-9a4a-f80d239c814a |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T00:04:10Z |
| publishDate | 2013 |
| record_format | dspace |
| spelling | oxford-uuid:76f834e0-c159-4834-9a4a-f80d239c814a2022-03-26T20:20:02ZVanishing quantum discord is not necessary for completely positive mapsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:76f834e0-c159-4834-9a4a-f80d239c814aEnglishSymplectic Elements at Oxford2013Brodutch, ADatta, AModi, KRivas, ARodriguez-Rosario, CThe description of the dynamics of a system that may be correlated with its environment is only meaningful within the context of a specific framework. Different frameworks rely upon different assumptions about the initial system-environment state. We reexamine the connections between complete positivity and quantum discord within two different sets of assumptions about the relevant family of initial states. We present an example of a system-environment state with nonvanishing quantum discord that leads to a completely positive map. This invalidates an earlier claim about the necessity of vanishing quantum discord for completely positive maps. In our final remarks, we discuss the physical validity of each approach. © 2013 American Physical Society. |
| spellingShingle | Brodutch, A Datta, A Modi, K Rivas, A Rodriguez-Rosario, C Vanishing quantum discord is not necessary for completely positive maps |
| title | Vanishing quantum discord is not necessary for completely positive maps |
| title_full | Vanishing quantum discord is not necessary for completely positive maps |
| title_fullStr | Vanishing quantum discord is not necessary for completely positive maps |
| title_full_unstemmed | Vanishing quantum discord is not necessary for completely positive maps |
| title_short | Vanishing quantum discord is not necessary for completely positive maps |
| title_sort | vanishing quantum discord is not necessary for completely positive maps |
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