Separability criteria via sets of mutually unbiased measurements.
Mutually unbiased measurements (MUMs) are generalized from the concept of mutually unbiased bases (MUBs) and include the complete set of MUBs as a special case, but they are superior to MUBs as they do not need to be rank one projectors. We investigate entanglement detection using sets of MUMs and derive separability criteria for multipartite qudit systems, arbitrary high-dimensional bipartite systems of a d1-dimensional subsystem and a d2-dimensional subsystem, and multipartite systems of multi-level subsystems. These criteria are of the advantages of more effective and wider application range than previous criteria. They provide experimental implementation in detecting entanglement of unknown quantum states.
College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050024, China.
Lu
L
Liu
College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang 050024, China.
Ting
T
Gao
College of Physics Science and Information Engineering, Hebei Normal University, Shijiazhuang 050024, China.
Fengli
F
Yan