5 papers
Positive Planar Measures for Spectral Pinching and the Corrected BMV Conjecture
Trung Hoa Dinh, Cong Trinh Le, Trung Dung Vuong
We prove the corrected Bessis--Moussa--Villani pinching conjecture for all symmetrized word averages. For Hermitian matrices and , we construct a positive compactly…
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…
Real radical branch recovery for second order semialgebraic optimization
Cong Trinh Le
We study parabolic second order tangent sets in semialgebraic optimization when the supplied polynomial representation is singular. Our focus is the representation problem: formal…
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…