3 papers
math.AG2026
Parabolic second-order tangent sets of semialgebraic sets and applications to polynomial optimization
Cong Trinh Le
We study parabolic second-order tangent sets of semialgebraic sets and their use in local polynomial optimization. For a basic closed semialgebraic feasible set, we compare the tru…
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.QA2026
Optimization of maximal quantum f-divergences between unitary orbits
Hoang Minh Nguyen, Hoang An Nguyen, Cong Trinh Le
Maximal quantum -divergences, defined via the commutant Radon--Nikodym derivative, form a fundamental class of distinguishability measures for quantum states associated with ope…