Non-Markovianity quantifier of an arbitrary quantum process
Autor(a) principal: | |
---|---|
Data de Publicação: | 2017 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1103/PhysRevA.96.062118 http://hdl.handle.net/11449/170469 |
Resumo: | Calculating the degree of non-Markovianity of a quantum process, for a high-dimensional system, is a difficult task given complex maximization problems. Focusing on the entanglement-based measure of non-Markovianity we propose a numerically feasible quantifier for finite-dimensional systems. We define the non-Markovianity measure in terms of a class of entanglement quantifiers named witnessed entanglement which allow us to write several entanglement based measures of non-Markovianity in a unique formalism. In this formalism, we show that the non-Markovianity, in a given time interval, can be witnessed by calculating the expectation value of an observable, making it attractive for experimental investigations. Following this property we introduce a quantifier base on the entanglement witness in an interval of time; we show that measure is a bonafide measure of non-Markovianity. In our example, we use the generalized robustness of entanglement, an entanglement measure that can be readily calculated by a semidefinite programming method, to study impurity atoms coupled to a Bose-Einstein condensate. |
id |
UNSP_d24175fab5b7fd64d19f0ce83b344324 |
---|---|
oai_identifier_str |
oai:repositorio.unesp.br:11449/170469 |
network_acronym_str |
UNSP |
network_name_str |
Repositório Institucional da UNESP |
repository_id_str |
2946 |
spelling |
Non-Markovianity quantifier of an arbitrary quantum processCalculating the degree of non-Markovianity of a quantum process, for a high-dimensional system, is a difficult task given complex maximization problems. Focusing on the entanglement-based measure of non-Markovianity we propose a numerically feasible quantifier for finite-dimensional systems. We define the non-Markovianity measure in terms of a class of entanglement quantifiers named witnessed entanglement which allow us to write several entanglement based measures of non-Markovianity in a unique formalism. In this formalism, we show that the non-Markovianity, in a given time interval, can be witnessed by calculating the expectation value of an observable, making it attractive for experimental investigations. Following this property we introduce a quantifier base on the entanglement witness in an interval of time; we show that measure is a bonafide measure of non-Markovianity. In our example, we use the generalized robustness of entanglement, an entanglement measure that can be readily calculated by a semidefinite programming method, to study impurity atoms coupled to a Bose-Einstein condensate.Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Universidade Tecnológica Federal Do Paraná (UTFPR) Campus Cornélio Procópio, Avenida Alberto Carazzai 1640Faculdade de Ciências UNESP Universidade Estadual PaulistaFaculdade de Ciências UNESP Universidade Estadual PaulistaFAPESP: 2015/05581-7FAPESP: 2017/07787-7CNPq: 474592/2013-8Universidade Tecnológica Federal Do Paraná (UTFPR)Universidade Estadual Paulista (Unesp)Debarba, TiagoFanchini, Felipe F. [UNESP]2018-12-11T16:50:57Z2018-12-11T16:50:57Z2017-12-12info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://dx.doi.org/10.1103/PhysRevA.96.062118Physical Review A, v. 96, n. 6, 2017.2469-99342469-9926http://hdl.handle.net/11449/17046910.1103/PhysRevA.96.0621182-s2.0-850382068962-s2.0-85038206896.pdf88848904721934740000-0003-3297-905XScopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPhysical Review Ainfo:eu-repo/semantics/openAccess2023-12-22T06:27:14Zoai:repositorio.unesp.br:11449/170469Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T21:03:27.177024Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Non-Markovianity quantifier of an arbitrary quantum process |
title |
Non-Markovianity quantifier of an arbitrary quantum process |
spellingShingle |
Non-Markovianity quantifier of an arbitrary quantum process Debarba, Tiago |
title_short |
Non-Markovianity quantifier of an arbitrary quantum process |
title_full |
Non-Markovianity quantifier of an arbitrary quantum process |
title_fullStr |
Non-Markovianity quantifier of an arbitrary quantum process |
title_full_unstemmed |
Non-Markovianity quantifier of an arbitrary quantum process |
title_sort |
Non-Markovianity quantifier of an arbitrary quantum process |
author |
Debarba, Tiago |
author_facet |
Debarba, Tiago Fanchini, Felipe F. [UNESP] |
author_role |
author |
author2 |
Fanchini, Felipe F. [UNESP] |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Universidade Tecnológica Federal Do Paraná (UTFPR) Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Debarba, Tiago Fanchini, Felipe F. [UNESP] |
description |
Calculating the degree of non-Markovianity of a quantum process, for a high-dimensional system, is a difficult task given complex maximization problems. Focusing on the entanglement-based measure of non-Markovianity we propose a numerically feasible quantifier for finite-dimensional systems. We define the non-Markovianity measure in terms of a class of entanglement quantifiers named witnessed entanglement which allow us to write several entanglement based measures of non-Markovianity in a unique formalism. In this formalism, we show that the non-Markovianity, in a given time interval, can be witnessed by calculating the expectation value of an observable, making it attractive for experimental investigations. Following this property we introduce a quantifier base on the entanglement witness in an interval of time; we show that measure is a bonafide measure of non-Markovianity. In our example, we use the generalized robustness of entanglement, an entanglement measure that can be readily calculated by a semidefinite programming method, to study impurity atoms coupled to a Bose-Einstein condensate. |
publishDate |
2017 |
dc.date.none.fl_str_mv |
2017-12-12 2018-12-11T16:50:57Z 2018-12-11T16:50:57Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://dx.doi.org/10.1103/PhysRevA.96.062118 Physical Review A, v. 96, n. 6, 2017. 2469-9934 2469-9926 http://hdl.handle.net/11449/170469 10.1103/PhysRevA.96.062118 2-s2.0-85038206896 2-s2.0-85038206896.pdf 8884890472193474 0000-0003-3297-905X |
url |
http://dx.doi.org/10.1103/PhysRevA.96.062118 http://hdl.handle.net/11449/170469 |
identifier_str_mv |
Physical Review A, v. 96, n. 6, 2017. 2469-9934 2469-9926 10.1103/PhysRevA.96.062118 2-s2.0-85038206896 2-s2.0-85038206896.pdf 8884890472193474 0000-0003-3297-905X |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Physical Review A |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.source.none.fl_str_mv |
Scopus reponame:Repositório Institucional da UNESP instname:Universidade Estadual Paulista (UNESP) instacron:UNESP |
instname_str |
Universidade Estadual Paulista (UNESP) |
instacron_str |
UNESP |
institution |
UNESP |
reponame_str |
Repositório Institucional da UNESP |
collection |
Repositório Institucional da UNESP |
repository.name.fl_str_mv |
Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP) |
repository.mail.fl_str_mv |
|
_version_ |
1808129279238602752 |