Minh Toan Ho

collaborators

5 papers

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…

quant-ph2026

Some applications of Choi polynomials of linear maps

Minh Toan Ho, Thanh Hieu Le, Cong Trinh Le +1

This paper investigates the properties of Choi polynomials and their fundamental role in the theory of positive linear maps between matrix algebras. By focusing on Hermitian symmet…

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…

math.AG2019

Some applications of Scherer-Hol's theorem for polynomial matrices

Trung Hoa Dinh, Minh Toan Ho, Cong Trinh Le

In this paper we establish some applications of the Scherer-Hol's theorem for polynomial matrices. Firstly, we give a representation for polynomial matrices positive definite on su…