Quantum discord in quantum information theory - From strong subadditivity to the mother protocol
Positivity of quantum discord is shown to be equivalent to the strong sub additivity of the von Neumann entropy. This leads to a connection between the mother protocol of quantum information theory [17] and quantum discord. We exploit this to show that discord is a measure coherence in the performan...
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
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Springer Verlag
2014
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| _version_ | 1826293990592348160 |
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| author | Madhok, V Datta, A |
| author_facet | Madhok, V Datta, A |
| author_sort | Madhok, V |
| collection | OXFORD |
| description | Positivity of quantum discord is shown to be equivalent to the strong sub additivity of the von Neumann entropy. This leads to a connection between the mother protocol of quantum information theory [17] and quantum discord. We exploit this to show that discord is a measure coherence in the performance of the mother protocol. Since the mother protocol is a unification of an important class of problems (those that are bipartite, unidirectional and memoryless), we show discord to be a measure of coherence in these protocols. Our work generalizes an earlier operational interpretation of discord provided in terms of quantum state merging [10]. © 2014 Springer-Verlag Berlin Heidelberg. |
| first_indexed | 2024-03-07T03:38:43Z |
| format | Journal article |
| id | oxford-uuid:bd2a6bf7-8f6a-4534-8d55-aaa127d62ca7 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T03:38:43Z |
| publishDate | 2014 |
| publisher | Springer Verlag |
| record_format | dspace |
| spelling | oxford-uuid:bd2a6bf7-8f6a-4534-8d55-aaa127d62ca72022-03-27T05:29:41ZQuantum discord in quantum information theory - From strong subadditivity to the mother protocolJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:bd2a6bf7-8f6a-4534-8d55-aaa127d62ca7EnglishSymplectic Elements at OxfordSpringer Verlag2014Madhok, VDatta, APositivity of quantum discord is shown to be equivalent to the strong sub additivity of the von Neumann entropy. This leads to a connection between the mother protocol of quantum information theory [17] and quantum discord. We exploit this to show that discord is a measure coherence in the performance of the mother protocol. Since the mother protocol is a unification of an important class of problems (those that are bipartite, unidirectional and memoryless), we show discord to be a measure of coherence in these protocols. Our work generalizes an earlier operational interpretation of discord provided in terms of quantum state merging [10]. © 2014 Springer-Verlag Berlin Heidelberg. |
| spellingShingle | Madhok, V Datta, A Quantum discord in quantum information theory - From strong subadditivity to the mother protocol |
| title | Quantum discord in quantum information theory - From strong subadditivity to the mother protocol |
| title_full | Quantum discord in quantum information theory - From strong subadditivity to the mother protocol |
| title_fullStr | Quantum discord in quantum information theory - From strong subadditivity to the mother protocol |
| title_full_unstemmed | Quantum discord in quantum information theory - From strong subadditivity to the mother protocol |
| title_short | Quantum discord in quantum information theory - From strong subadditivity to the mother protocol |
| title_sort | quantum discord in quantum information theory from strong subadditivity to the mother protocol |
| work_keys_str_mv | AT madhokv quantumdiscordinquantuminformationtheoryfromstrongsubadditivitytothemotherprotocol AT dattaa quantumdiscordinquantuminformationtheoryfromstrongsubadditivitytothemotherprotocol |