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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 |
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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.
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Received: 30 March 2022
Revised: 23 May 2022
Accepted manuscript online: 29 May 2022
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PACS:
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03.67.Mn
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(Entanglement measures, witnesses, and other characterizations)
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03.65.Ud
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(Entanglement and quantum nonlocality)
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03.67.-a
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(Quantum information)
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| Fund: 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). |
Corresponding Authors:
Liu Ye
E-mail: yeliu@ahu.edu.cn
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Cite this article:
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 2023 Chin. Phys. B 32 010304
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