主持人：徐孜立

报告简介：
The existence of spherical designs for arbitrary dimension d and strength t is proved by SeymourZaslavsky in 1980s. A bound on the size of spherical designs is given by Bondarenko–RadchenkoViazovska in last decade. Recently Xiang provides the first explicit construction of spherical designs. The existence of unitary designs follows from Seymour–Zaslavsky approach directly. The Clifford groups stand as a family of unitary 3-designs . Bannai–Navarro–Rizo–Tiep summarize the finite groups which serve as unitary t-designs. The first unitary 4-design on U(4) for 2-qubits is given in. We provide an explicit construction of unitary designs for arbitrary dimension d and strength t, which gives another explicit construction of spherical designs as a byproduct. Recently we find a new construction of unitary designs reversely from spherical designs.

主讲人简介：
赵达，华东理工大学讲师，博士毕业于上海交通大学，师从吴耀琨教授和坂内英一教授，主要研究代数组合，图论等方向。在Adv. Math.，Des. Codes Cryptogr.，J PHYS A-MATH THEOR等高水平期刊发表多篇论文。