3 papers
cs.LG2025
Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model
Xiao Xue, Marco F. P. ten Eikelder, Tianyue Yang +4
Phase separation in binary mixtures, governed by the Cahn-Hilliard equation, plays a central role in interfacial dynamics across materials science and soft matter. While numerical…
quant-ph2024
Gaussian unsteerable channels and computable quantifications of Gaussian steering
Taotao Yan, Jie Guo, Jinchuan Hou +2
The current quantum resource theory for Gaussian steering for continuous-variable systems is flawed and incomplete. Its primary shortcoming stems from an inadequate comprehension o…
math.OA2014
Non-linear maps on self-adjoint operators preserving numerical radius and numerical range of Lie product
Kan He, Jinchuan Hou
Let be a complex separable Hilbert space of dimension , the space of all self-adjoint operators on . We give a complete classification of non-lin…