Author

H. Osaka

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Open access Jan 2025

Optimizing entanglement manipulation via algebraic–geometric decompositions and semi-definite programming hierarchies

In the study of distributed quantum information processing, it is a fundamental problem to optimize local operations in the implementation of non-local quantum operations assisted by limited entanglement. We develop an algebraic–geometric framework that systematically simplifies optimization over separable (SEP) channe...

Seiseki Akibue, Jisho Miyazaki, H. Osaka · Letters in Mathematical Phys... · 1 citation

Preprint Aug 2026

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

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 $$ \altPhi_f(A,B) :=\Tr(A\nabla_s B) -\Tr\!\left( f(A^{-1}\sharp B)\,A\,f(A^{-1}\sharp B) \right). $$ on the positive definite cone. We prove that $\altPhi_f$ is a...

T. Vuong, H. Shudo, H. Osaka · 0 citations