Metric character of the quantum Jensen-Shannon divergence
- Autores
- Lamberti, Pedro W.; Majtey, Ana P.; Borras, A.; Casas, Montserrat; Plastino, Ángel Luis
- Año de publicación
- 2008
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- In a recent paper, the generalization of the Jensen-Shannon divergence in the context of quantum theory has been studied [Majtey et al., Phys. Rev. A 72, 052310 (2005)]. This distance between quantum states has shown to verify several of the properties required for a good distinguishability measure. Here we investigate the metric character of this distance. More precisely we show, formally for pure states and by means of a numerical procedure for mixed states, that its square root verifies the triangle inequality.
Facultad de Ciencias Exactas
Instituto de Física La Plata - Materia
-
Ciencias Exactas
Física
quantum Jensen-Shannon divergence
quantum theory
square root
Physics - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- http://creativecommons.org/licenses/by-nc-sa/4.0/
- Repositorio
.jpg)
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/126384
Ver los metadatos del registro completo
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Metric character of the quantum Jensen-Shannon divergenceLamberti, Pedro W.Majtey, Ana P.Borras, A.Casas, MontserratPlastino, Ángel LuisCiencias ExactasFísicaquantum Jensen-Shannon divergencequantum theorysquare rootPhysicsIn a recent paper, the generalization of the Jensen-Shannon divergence in the context of quantum theory has been studied [Majtey <i>et al.</i>, Phys. Rev. A 72, 052310 (2005)]. This distance between quantum states has shown to verify several of the properties required for a good distinguishability measure. Here we investigate the metric character of this distance. More precisely we show, formally for pure states and by means of a numerical procedure for mixed states, that its square root verifies the triangle inequality.Facultad de Ciencias ExactasInstituto de Física La Plata2008-05info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://sedici.unlp.edu.ar/handle/10915/126384enginfo:eu-repo/semantics/altIdentifier/issn/1050-2947info:eu-repo/semantics/altIdentifier/issn/1094-1622info:eu-repo/semantics/altIdentifier/arxiv/0801.1586info:eu-repo/semantics/altIdentifier/doi/10.1103/physreva.77.052311info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:30:22Zoai:sedici.unlp.edu.ar:10915/126384Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:30:23.15SEDICI (UNLP) - Universidad Nacional de La Platafalse |
| dc.title.none.fl_str_mv |
Metric character of the quantum Jensen-Shannon divergence |
| title |
Metric character of the quantum Jensen-Shannon divergence |
| spellingShingle |
Metric character of the quantum Jensen-Shannon divergence Lamberti, Pedro W. Ciencias Exactas Física quantum Jensen-Shannon divergence quantum theory square root Physics |
| title_short |
Metric character of the quantum Jensen-Shannon divergence |
| title_full |
Metric character of the quantum Jensen-Shannon divergence |
| title_fullStr |
Metric character of the quantum Jensen-Shannon divergence |
| title_full_unstemmed |
Metric character of the quantum Jensen-Shannon divergence |
| title_sort |
Metric character of the quantum Jensen-Shannon divergence |
| dc.creator.none.fl_str_mv |
Lamberti, Pedro W. Majtey, Ana P. Borras, A. Casas, Montserrat Plastino, Ángel Luis |
| author |
Lamberti, Pedro W. |
| author_facet |
Lamberti, Pedro W. Majtey, Ana P. Borras, A. Casas, Montserrat Plastino, Ángel Luis |
| author_role |
author |
| author2 |
Majtey, Ana P. Borras, A. Casas, Montserrat Plastino, Ángel Luis |
| author2_role |
author author author author |
| dc.subject.none.fl_str_mv |
Ciencias Exactas Física quantum Jensen-Shannon divergence quantum theory square root Physics |
| topic |
Ciencias Exactas Física quantum Jensen-Shannon divergence quantum theory square root Physics |
| dc.description.none.fl_txt_mv |
In a recent paper, the generalization of the Jensen-Shannon divergence in the context of quantum theory has been studied [Majtey <i>et al.</i>, Phys. Rev. A 72, 052310 (2005)]. This distance between quantum states has shown to verify several of the properties required for a good distinguishability measure. Here we investigate the metric character of this distance. More precisely we show, formally for pure states and by means of a numerical procedure for mixed states, that its square root verifies the triangle inequality. Facultad de Ciencias Exactas Instituto de Física La Plata |
| description |
In a recent paper, the generalization of the Jensen-Shannon divergence in the context of quantum theory has been studied [Majtey <i>et al.</i>, Phys. Rev. A 72, 052310 (2005)]. This distance between quantum states has shown to verify several of the properties required for a good distinguishability measure. Here we investigate the metric character of this distance. More precisely we show, formally for pure states and by means of a numerical procedure for mixed states, that its square root verifies the triangle inequality. |
| publishDate |
2008 |
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2008-05 |
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eng |
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