H. Osaka

activity

20032026

most citedClassification of bi-qutrit positive partial transpose entangled edge states by their ranks

22 citations · 74 across the 40 of their papers we have counts for

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math-ph2026

Alternative-mean trace divergences: geometry, data processing, and barycenters

Trung Dung Vuong, Hiroki Shudo, Hiroyuki Osaka

Let $f : (0, \infty) \to (0, \infty)$ be a nontrivial normalized operator monotone function and set $s = f^{'} (1)$ . We introduce the alternative-mean trace functional $$ \altPhi_f(A,B) :=\Tr(…

math-ph2018★ 14 cited

On a family of a linear maps from $M_{n} (C)$ to $M_{n^{2}} (C)$

Benoit Collins, Hiroyuki Osaka, Gunjan Sapra

Bhat characterizes the family of linear maps defined on $B (H)$ which preserve unitary conjugation. We generalize this idea and study the maps with a similar equivariance…

Alternative-mean trace divergences: geometry, data processing, and barycenters

On a family of a linear maps from Mn​(C) to Mn2​(C)

On a family of a linear maps from $M_{n} (C)$ to $M_{n^{2}} (C)$