Entangled bases withfixed Schmidt number

Xin-Lei Yong, Yi-yang Song, Yuan-Hong Tao

Yu Guo, Zhaofang Bai, Shuanping Du

Qianqian Yan, Dengming Xu

In this paper, we construct mutually unbiased special entangled bases with Schmidt number 2d in [Formula: see text]. Precisely, we first provide a necessary and sufficient condition for two special entangled bases with Schmidt number 2d are mutually unbiased, and then use the condition to construct two mutually unbiased special entangled bases with Schmidt number 2 in [Formula: see text] and two mutually unbiased special entangled bases with Schmidt number 4 in [Formula: see text].

Yu Jing Guo, Yanping Jia, Xiulan Li

Qianqian Yan, Dengming Xu

In this paper, we construct mutually unbiased special entangled bases with Schmidt number [Formula: see text] in [Formula: see text]. Precisely, we first provide a necessary and sufficient condition for two special entangled bases with Schmidt number [Formula: see text] are mutually unbiased, and then use the condition to construct two mutually unbiased special entangled bases with Schmidt number 2 in [Formula: see text].

Xian Shi

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.