On the metric character of the quantum Jensen-Shannon divergence
arXiv:0801.1586 · doi:10.1103/PhysRevA.77.052311
Abstract
In a recent paper, the generalization of the Jensen Shannon divergence (JSD) in the context of quantum theory has been studied (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 simulations for mixed states, that its square root verifies the triangle inequality.
arXiv comment8 pages, 1 figures, numerical results substantially improved in Sec. III. To appear in Phys. Rev. A
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