The α → 1 limit of the sharp quantum rényi divergence

HIGHLIGHTS

  • who: Bjarne Bergh and colleagues from the University of Cambridge, Cambridge, United Kingdom have published the Article: The α → 1 limit of the sharp quantum Rényi divergence, in the Journal: (JOURNAL)
  • what: The authors show in Theorem 7 that the limit α → 1 of the sharp divergence is the Belavkin-Staszewski relative entropy.

SUMMARY

    The geometric Rényi divergence (also called the maximal Rényi divergence), first introduced by Matsumoto can be defined in terms of the weighted matrix geometric mean. A≥0 α They defined the sharp Rényi divergence of order . . .

     

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