Lecture Content：

Only a few states in high-dimensional systems can be identified as (un)steerable using existing theoretical or experimental methods. We utilize semidefinite programming (SDP) to construct a dataset for steerability detection in qutrit-qutrit systems. For the full-information feature F1, artificial neural networks achieve high classification accuracy and generalization, and perform better than the support vector machine. As feature engineering plays a pivotal role, we introduce a steering ellipsoid-like feature, F2, which significantly enhances the performance of each of our models. To address quantum steering detection in isotropic states, partially entangled states, and random states, we explore, respectively, the most tailored feature and classifier. Given that the SDP method provides only a sufficient condition for steerability detection, we establish the first rigorously constructed, accurately labeled dataset based on theoretical foundations. This dataset enables models to exhibit outstanding accuracy and generalization capabilities, independent of the choice of features. As applications, we investigate the steerability boundaries of isotropic states and partially entangled states, discover new steerable states, and determine their parameter ranges. This work not only advances the application of machine learning for probing quantum steerability in high-dimensional systems but also deepens the theoretical understanding of quantum steerability itself.

Speaker Introduction:

Meng Huixian, Associate Professor at the School of Mathematics and Physics, North China Electric Power University. She received her Ph.D. in Fundamental Mathematics from Shaanxi Normal University in June 2017. Currently, she mainly engages in research on quantum information and quantum artificial intelligence. From July 2017 to June 2019, she conducted postdoctoral research at the Chern Institute of Mathematics, Nankai University. She has presided over one National Natural Science Foundation of China project (completed) and two General Program projects of the China Postdoctoral Science Foundation (completed), and participated in one General Program project of the National Natural Science Foundation of China (ongoing). Her doctoral dissertation was awarded the Excellent Doctoral Dissertation of Shaanxi Province. She has published one paper as co-first author in *Physical Review Letters*, and five papers as corresponding author/first author/co-first author in *Physical Review A*. She has published a total of 17 SCI papers.