腾讯会议：869-746-358
邀请人：孙源
摘 要: An equioverlapping measurement is a rank-one POVM with the same overlap between any pair of its measurement operators. A symmetric informationally complete POVM (SIC-POVM) and an equiangular tight frame can both be equivalently formulated as special instances of an equioverlapping measurement. Due to their structural characteristics, equioverlapping measurements are interesting and useful objects in quantum foundations and practices, as partly witnessed by the extensive investigations of SIC-POVMs in quantum information theory over the last two decades and the vast literature on equiangular tight frames. In this talk, we introduce and partly classify equioverlapping measurements, reveal their intrinsic properties, elucidate their similarities with, and differences from, SIC-POVMs, sets of equiangular lines, and equiangular tight frames. We show that the angles between any two measurement operators in an equioverlapping measurement can take at most three values. We further propose some open issues concerning classification, construction and optimal characterization of equioverlapping measurements.
报告人简介：骆顺龙, 中国科学院数学与系统科学研究院应用数学研究所研究员, 所长, 量子计算与量子信息处理研究中心主任。曾应邀在第八届国际工业与应用数学大会作一小时报告 (2015)。主要从事概率统计﹑量子论和信息论研究。
