<p>Equivalence of Furuta inequality and Ando–Hiai inequality had shown in our previous paper. Furuta inequality has several advanced forms; satellite one, grand one and chaotic one. Corresponding to these, we will change the costume of Ando–Hiai inequality. We discuss quantum relative entropies as applications of Furuta inequality and grand Furuta inequality.</p>

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Satellite forms of grand Furuta–Ando–Hiai inequalities and its applications

  • Jun Ichi Fujii,
  • Masatoshi Fujii,
  • Eizaburo Kamei,
  • Yuki Seo

摘要

Equivalence of Furuta inequality and Ando–Hiai inequality had shown in our previous paper. Furuta inequality has several advanced forms; satellite one, grand one and chaotic one. Corresponding to these, we will change the costume of Ando–Hiai inequality. We discuss quantum relative entropies as applications of Furuta inequality and grand Furuta inequality.