Divergences in the 2-qubits space: Werner and thermal states

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 Csisz´ar and Bregmantype q-divergences with reference to i) Werner states, and ii) thermal states obtained using a one...

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Detalles Bibliográficos
Autores: Borras, A., Plastino, Ángel R., Casas, Montserrat, Plastino, A.
Tipo de recurso: artículo
Fecha de publicación:2009
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/25501
Acceso en línea:http://hdl.handle.net/10261/25501
Access Level:acceso abierto
Palabra clave:Jensen-Shannono divergence
Heisenberg model
Descripción
Sumario: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 Csisz´ar 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.