报告地点：腾讯会议 958431451
邀请人：黄益副教授
摘要：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. We highlight the key roles played by the orbit of Heisenberg-Weyl group and certain mystical fiducial states (vectors in finite dimensional Hilbert spaces). Some related open problems are also presented.
