Divergences in the 2-qubits' Space: Werner and thermal states
- Autores
- Plastino, Ángel Luis; Borrás, A.; Casas, Montserrat; Plastino, Ángel Ricardo
- Año de publicación
- 2009
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- We revisit the notion of using divergences, or relative-entropies, as measures of the distance between two mixed states, with special emphasis on power-law entropies. We analyze the Csisźar and Bregmantype q-divergences with reference to i) Werner states, and ii) thermal states obtained using a one-dimensional Heisenberg two-spin chain with a magnetic field B along the z-axis. In both cases, we find that the q-Jensen-Shannon divergence enlarges the range of permissible powerlaw exponents, as compared to results of previous literature. It is also shown that this divergence-measure serves as a good indicator for critical phenomena in the Heisenberg model.
Facultad de Ciencias Exactas - Materia
-
Ciencias Exactas
Heisenberg model
Jensen-Shannono divergence - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- http://creativecommons.org/licenses/by/3.0/
- Repositorio
.jpg)
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/36276
Ver los metadatos del registro completo
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Divergences in the 2-qubits' Space: Werner and thermal statesPlastino, Ángel LuisBorrás, A.Casas, MontserratPlastino, Ángel RicardoCiencias ExactasHeisenberg modelJensen-Shannono divergenceWe revisit the notion of using divergences, or relative-entropies, as measures of the distance between two mixed states, with special emphasis on power-law entropies. We analyze the Csisźar and Bregmantype q-divergences with reference to i) Werner states, and ii) thermal states obtained using a one-dimensional Heisenberg two-spin chain with a magnetic field <i>B</i> along the <i>z</i>-axis. In both cases, we find that the q-Jensen-Shannon divergence enlarges the range of permissible powerlaw exponents, as compared to results of previous literature. It is also shown that this divergence-measure serves as a good indicator for critical phenomena in the Heisenberg model.Facultad de Ciencias Exactas2009info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf1041-1059http://sedici.unlp.edu.ar/handle/10915/36276enginfo:eu-repo/semantics/altIdentifier/url/http://www.m-hikari.com/ams/ams-password-2009/ams-password21-24-2009/plastinoAMS21-24-2009.pdfinfo:eu-repo/semantics/altIdentifier/issn/1312-885Xinfo:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/3.0/Creative Commons Attribution 3.0 Unported (CC BY 3.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-12-03T10:14:39Zoai:sedici.unlp.edu.ar:10915/36276Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-12-03 10:14:40.255SEDICI (UNLP) - Universidad Nacional de La Platafalse |
| dc.title.none.fl_str_mv |
Divergences in the 2-qubits' Space: Werner and thermal states |
| title |
Divergences in the 2-qubits' Space: Werner and thermal states |
| spellingShingle |
Divergences in the 2-qubits' Space: Werner and thermal states Plastino, Ángel Luis Ciencias Exactas Heisenberg model Jensen-Shannono divergence |
| title_short |
Divergences in the 2-qubits' Space: Werner and thermal states |
| title_full |
Divergences in the 2-qubits' Space: Werner and thermal states |
| title_fullStr |
Divergences in the 2-qubits' Space: Werner and thermal states |
| title_full_unstemmed |
Divergences in the 2-qubits' Space: Werner and thermal states |
| title_sort |
Divergences in the 2-qubits' Space: Werner and thermal states |
| dc.creator.none.fl_str_mv |
Plastino, Ángel Luis Borrás, A. Casas, Montserrat Plastino, Ángel Ricardo |
| author |
Plastino, Ángel Luis |
| author_facet |
Plastino, Ángel Luis Borrás, A. Casas, Montserrat Plastino, Ángel Ricardo |
| author_role |
author |
| author2 |
Borrás, A. Casas, Montserrat Plastino, Ángel Ricardo |
| author2_role |
author author author |
| dc.subject.none.fl_str_mv |
Ciencias Exactas Heisenberg model Jensen-Shannono divergence |
| topic |
Ciencias Exactas Heisenberg model Jensen-Shannono divergence |
| dc.description.none.fl_txt_mv |
We revisit the notion of using divergences, or relative-entropies, as measures of the distance between two mixed states, with special emphasis on power-law entropies. We analyze the Csisźar and Bregmantype q-divergences with reference to i) Werner states, and ii) thermal states obtained using a one-dimensional Heisenberg two-spin chain with a magnetic field <i>B</i> along the <i>z</i>-axis. In both cases, we find that the q-Jensen-Shannon divergence enlarges the range of permissible powerlaw exponents, as compared to results of previous literature. It is also shown that this divergence-measure serves as a good indicator for critical phenomena in the Heisenberg model. Facultad de Ciencias Exactas |
| description |
We revisit the notion of using divergences, or relative-entropies, as measures of the distance between two mixed states, with special emphasis on power-law entropies. We analyze the Csisźar and Bregmantype q-divergences with reference to i) Werner states, and ii) thermal states obtained using a one-dimensional Heisenberg two-spin chain with a magnetic field <i>B</i> along the <i>z</i>-axis. In both cases, we find that the q-Jensen-Shannon divergence enlarges the range of permissible powerlaw exponents, as compared to results of previous literature. It is also shown that this divergence-measure serves as a good indicator for critical phenomena in the Heisenberg model. |
| publishDate |
2009 |
| dc.date.none.fl_str_mv |
2009 |
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eng |
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eng |
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