Abstract:

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.

Short Bio:

朱黄俊，先后在浙江大学物理系，北京大学物理学院，和新加坡国立大学量子技术中心获本科，硕士，和博士学位。之后在加拿大圆周理论物理研究所和德国科隆大学理论物理研究所从事博士后研究。2018年1月至今在复旦大学物理学系任研究员。主要研究领域为量子信息基础理论，包括量子测量，量子层析，量子验证，和纠缠理论等。