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...
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Natura: | Journal article |
Lingua: | 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 |