| Time：1140903 (Wed.) 14:20~16:20 Speaker：Prof.梁永成/ Liang, Yeong-Cherng 國立成功大學物理學系/Department of Physics, National Cheng Kung University Title：From nonlocality transitivity to entanglement transitivity and more Abstract： In this seminar, I shall first recall the phenomenon of Bell-nonlocality and the related transitivity problem — a problem that concerns the possibility of inferring the Bell-nonlocality of certain marginals in a multipartite scenario based on partial information. Then, I explain how considering this problem has led to the analogous entanglement transitivity problem, a special case of what we have dubbed resource marginals problems. Surprisingly, one can always find examples of entanglement transitivity by considering the marginal density matrices of Haar-random tripartite pure states. While proving this, we have also learned that large marginals are generically entangled across all cuts. Finally, I demonstrate how examples of entanglement transitivity have led to the first quantum-realizable notion of nonlocality transitivity. References: Npj Quantum Inf. 8, 98 (2022) Quantum 8, 1353 (2024) arXiv:2412.10505 arXiv:2505.20420 Place：S101, Gongguan Campus, NTNU |
