標題:Hiding and masking quantum information in complex and real quantum mechanics
演講人:
朱黃俊 復旦大學物理學系
時間: 2021-12-01 19:15-2021-12-01 20:45
地點:MMW S327 + Tencent Meeting (ID: 882 527 591)
內容:
Classical information can be completely hidden in the correlations of bipartite quantum systems. However, it is impossible to hide or mask all quantum information according to the no-hiding and no-masking theorems derived recently. Here we show that any set of informationally complete quantum states is neither hidable nor maskable, thereby strengthening the no-hiding and no-masking theorems known before. Then, by virtue of Hurwitz-Radon matrices (representations of the Clifford algebra), we show that information about real quantum states can be completely hidden in the correlations, although the minimum dimension of the composite Hilbert space required increases exponentially with the dimension of the original Hilbert space. Moreover, the set of real quantum states is a maximal maskable set within quantum theory and has a surprising connection with maximally entangled states. These results offer valuable insight on the potential and limit of hiding and masking quantum information, which are of intrinsic interest to a number of active research areas.
人物介紹:
朱黃俊,先后在浙江大學物理系,北京大學物理學院,和新加坡國立大學量子技術中心獲本科,碩士,和博士學位。之后在加拿大圓周理論物理研究所和德國科隆大學理論物理研究所從事博士后研究。2018年1月至今在復旦大學物理學系任研究員。主要研究領域為量子信息基礎理論,包括量子測量,量子層析,量子驗證,和糾纏理論等。