title: Entropic Uncertainty Relation and Information Exclusion Relation for multiple measurements in the presence of quantum memory.
abstract: The Heisenberg uncertainty principle shows that no one can specify the values of the non-commuting canonically conjugated variables simultaneously. However, the uncertainty relation is usually applied to two incompatible measurements. We present tighter bounds on both entropic uncertainty relation and information exclusion relation for multiple measurements in the presence of quantum memory. As applications, three incompatible measurements on Werner state and Horodecki's bound entangled state are investigated in details.
authors.affiliation: School of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian 116024, P. R. China.
authors.forename: Jun
authors.initials: J
authors.lastname: Zhang
authors.affiliation: School of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian 116024, P. R. China.
authors.forename: Yang
authors.initials: Y
authors.lastname: Zhang
authors.affiliation: School of Physics and Optoelectronic Technology, Dalian University of Technology, Dalian 116024, P. R. China.
authors.forename: Chang-shui
authors.initials: CS
authors.lastname: Yu