Families of Schmidt-number witnesses for high dimensional quantum states  

作　　者：Xian Shi 

机构地区：[1]College of Information Science and Technology,Beijing University of Chemical Technology,Beijing 100029,China

出　　处：《Communications in Theoretical Physics》2024年第8期44-51,共8页理论物理通讯（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant No. 12301580);the Funds of the College of Information Science and Technology, Beijing University of Chemical Technology (Grant No. 0104/11170044115)。

摘　　要：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.

关 键 词：Schmidt number entanglement witness mutually unbiased bases 

分 类 号：O413[理学—理论物理]