Transformation relation between coherence and entanglement for two-qubit states

doi:10.1088/1674-1056/ac7454

中国物理B ›› 2023, Vol. 32 ›› Issue (1): 10304-010304.doi: 10.1088/1674-1056/ac7454

Transformation relation between coherence and entanglement for two-qubit states

Qing-Yun Zhou(周晴云), Xiao-Gang Fan(范小刚), Fa Zhao(赵发), Dong Wang(王栋), and Liu Ye(叶柳)^†

School of Physics&Optoelectronics Engineering, Anhui University, Hefei 230601, China

收稿日期:2022-03-30 修回日期:2022-05-23 接受日期:2022-05-29 出版日期:2022-12-08 发布日期:2022-12-20
通讯作者: Liu Ye E-mail:yeliu@ahu.edu.cn
基金资助:
This work was supported by the National Science Foundation of China (Grant Nos. 12175001 and 12075001) and the Natural Science Foundation of Education Department of Anhui Province, China (Grant No. KJ2016SD49).

Transformation relation between coherence and entanglement for two-qubit states

Qing-Yun Zhou(周晴云), Xiao-Gang Fan(范小刚), Fa Zhao(赵发), Dong Wang(王栋), and Liu Ye(叶柳)^†

School of Physics&Optoelectronics Engineering, Anhui University, Hefei 230601, China

Received:2022-03-30 Revised:2022-05-23 Accepted:2022-05-29 Online:2022-12-08 Published:2022-12-20
Contact: Liu Ye E-mail:yeliu@ahu.edu.cn
Supported by:
This work was supported by the National Science Foundation of China (Grant Nos. 12175001 and 12075001) and the Natural Science Foundation of Education Department of Anhui Province, China (Grant No. KJ2016SD49).

摘要/Abstract

摘要： Entanglement and coherence are two important resources in quantum information theory. A question naturally arises: Is there some connection between them? We prove that the entanglement of formation and the first-order coherence of two-qubit states satisfy an inequality relation. Two-qubit pure state reaches the upper bound of this inequality. A large number of randomly generated states are used to intuitively verify the complementarity between the entanglement of formation and the first-order coherence. We give the maximum accessible coherence of two-qubit states. Our research results will provide a reliable theoretical basis for conversion of the two quantum resources.

关键词: entanglement, coherence, first-order coherence, entanglement of formation

Abstract: Entanglement and coherence are two important resources in quantum information theory. A question naturally arises: Is there some connection between them? We prove that the entanglement of formation and the first-order coherence of two-qubit states satisfy an inequality relation. Two-qubit pure state reaches the upper bound of this inequality. A large number of randomly generated states are used to intuitively verify the complementarity between the entanglement of formation and the first-order coherence. We give the maximum accessible coherence of two-qubit states. Our research results will provide a reliable theoretical basis for conversion of the two quantum resources.

Key words: entanglement, coherence, first-order coherence, entanglement of formation

中图分类号: (Entanglement measures, witnesses, and other characterizations)

03.67.Mn

03.65.Ud (Entanglement and quantum nonlocality) 03.67.-a (Quantum information)

Qing-Yun Zhou(周晴云), Xiao-Gang Fan(范小刚), Fa Zhao(赵发), Dong Wang(王栋), and Liu Ye(叶柳). Transformation relation between coherence and entanglement for two-qubit states[J]. 中国物理B, 2023, 32(1): 10304-010304.

Qing-Yun Zhou(周晴云), Xiao-Gang Fan(范小刚), Fa Zhao(赵发), Dong Wang(王栋), and Liu Ye(叶柳). Transformation relation between coherence and entanglement for two-qubit states[J]. Chin. Phys. B, 2023, 32(1): 10304-010304.

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Transformation relation between coherence and entanglement for two-qubit states

Transformation relation between coherence and entanglement for two-qubit states

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