Abstract
Higher dimensional entangled states demonstrate significant advantages in quantum information processing tasks.The Schmidt number is a quantity of the entanglement dimension of a bipartite state.Here we build families of k-positive maps from the symmetric information complete positive operator-valued measurements and mutually unbiased bases,and we also present the Schmidt number witnesses,correspondingly.At last,based on the witnesses obtained from mutually unbiased bases,we show the distance between a bipartite state and the set of states with a Schmidt number less than k.
基金项目
National Natural Science Foundation of China(12301580)
College of Information Science and Technology,Beijing University of Chemical Technology(0104/11170044115)
NETL
NSTL
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