3 papers
math.FA2026
Sharp Hyperbolic Cutoffs and Dimension-Sharp Counterexamples for Reverse Araki-Type Inequalities
Trung Dung Vuong
We study reverse Araki-type trace inequalities and log-majorizations beyond the exponent . For arbitrary nonnegative nondecreasing weights, we show that is the sharp dimen…
quant-ph2026
Polar Fidelities, Holevo Bases, and Unitary Factors of Generalized Fidelity
Trung Dung Vuong
Motivated by several open problems in the Afham-Ferrie theory of generalized fidelity, we study polar fidelities, Holevo bases, and unitary factors on \(\Pd\), the cone of \(d\time…
math.FA2026
Heron-Wasserstein majorization inequalities for spectral and Kubo-Ando geometric means
Trung Dung Vuong, Anh Thi Nguyen, Trung Hoa Dinh
We prove sharp Heron-type majorization inequalities for two quadratic matrix expressions associated with the spectral and Kubo-Ando geometric means. For the spectral geometric mean…