4 papers
Determinantal Kernel Schemes of Matrix Nets and Applications to Positive Maps
Trung Hoa Dinh, Minh Toan Ho, Cong Trinh Le +1
For a linear map on a matrix space, we study the projective schemes obtained by intersecting its projectivized kernel with determinantal rank loci. For matrix nets, that is, three…
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…
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…
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…