Information geometry of sandwiched Rényi $\alpha$-divergence

Kaito Takahashi, Akio Fujiwara

Information geometrical structure $(g^{(D_{\alpha })},{\nabla }^{(D_{\alpha })},{\nabla }^{(D_{\alpha })\ast })$ induced from the sandwiched Rényi $\alpha$-divergence $D_α(ρ\|σ):=\frac{1}{α(α-1)}\log\,{\rm Tr} \left(σ^…