一、报告题目：From Magic States to Zauner’s Conjectures
二、报告人：骆顺龙 研究员
三、时 间：2024年9月26日 （星期四） 下午 11:30—12:15
四、地 点：A4-216
报告提要：In the paradigm of quantum measurement, complete mutually unbiased bases (MUBs) and symmetric informationally complete positive operator valued measures (SIC-POVMs) are two prominent objects due to their structural symmetry and remarkable features. However, their existences in arbitrary dimensions (Zauner's conjectures) remain elusive. We discuss some aspects in the pursuing and constructing of MUBs and SIC-POVMs via group frames and magic states. We highlight the key roles played by the orbit of Heisenberg-Weyl group and certain mystical fiducial states (vectors in finite dimensional Hilbert spaces), which are most magic. Some related open problems are also presented.
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。
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