Metric character of the quantum Jensen-Shannon divergence

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 distingu...

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Autores principales: Lamberti, Pedro W., Majtey, Ana P., Borras, A., Casas, Montserrat, Plastino, Ángel Luis
Formato: Articulo
Lenguaje:Inglés
Publicado: 2008
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Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/126384
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Sumario: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.