2008/01/31 by P. W. Lamberti, Pedro W. Lamberti, A. P. Majtey +4 · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Character (mathematics) #Combinatorics #Computer science #Context (archaeology) #Data mining #Discrete mathematics #Divergence (linguistics) #Generalization #Geography #Geometry #Mathematical analysis #Mathematics #Measure (data warehouse) #Metric (unit) #Philosophy #Physics #Pure mathematics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum mechanics #Statistical Mechanics and Entropy #Statistical physics #quant-ph
paper · pdf · doi:10.1103/physreva.77.052311
8 pages, 1 figures, numerical results substantially improved in Sec. III. To appear in Phys. Rev. A
arxiv created 2008/05/06 · openalex publication_date 2008/05/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.