Minh Toan Ho

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math.FA2026

Weighted Two-Parameter Quantum Divergences Generated by Matrix Power-Mean Gaps

Trung Hoa Dinh, Minh Toan Ho, Ha Trang Nguyen +1

Let $P_{n}$ be the cone of $n \times n$ complex positive definite matrices. For $0 < θ < 1$ and $r \geq 0$ , let $M_{r}^{(θ)}$ denote the weighted matrix power mean, with the logarithm…

math.FA2026

A Weighted Spectral Quantum Fidelity

Cong Trinh Le, The Khoi Vu, Minh Toan Ho +1

We introduce and study a one-parameter family of fidelity-type quantities based on the weighted spectral geometric mean, which we call the \emph{weighted spectral fidelity} \( \mat…

math.FA2019

Two trace inequalities for operator functions

Trung Hoa Dinh, Minh Toan Ho, Cong Trinh Le +1

In this paper we show that for a non-negative operator monotone function $f$ on $[0, \infty)$ such that $f (0) = 0$ and for any positive semidefinite matrices $A$ and $B$ , $$ Tr((A-B…