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Families of Schmidt-number witnesses for high dimensional quantum states

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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.

Schmidt numberentanglement witnessmutually unbiased bases

Xian Shi

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College of Information Science and Technology,Beijing University of Chemical Technology,Beijing 100029,China

National Natural Science Foundation of ChinaCollege of Information Science and Technology,Beijing University of Chemical Technology

123015800104/11170044115

2024

理论物理通讯(英文版)
中国科学院理论物理研究所 中国物理学会

理论物理通讯(英文版)

CSTPCD
影响因子:0.333
ISSN:0253-6102
年,卷(期):2024.76(8)