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Relationship Between Entanglement and Coherence in Some Two-Qubit States

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Abstract

Quantum coherence and quantum entanglement are two of the most important quantum properties, while the relationship between them hasn’t been revealed completely, even though revealing their relationship is conducive to the development of quantum theory. In this work, we investigate their relationship in two-qubit pure states and Bell diagonal states, and we propose a relationship between coherence and entanglement. That is the sum of concurrence, l1 norm coherence of each subsystems and compensate factor equals to the intuitive l1 norm of coherence of the quantum system. Furthermore, we also investigate the relationship between Bell nonlocality and coherence. Then we check the correctness of our theories in some typical open systems by assuming one of the qubits passes through the noisy environment. The relationship we proposed here may deepen our understanding about quantum world.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant No. 12175001 and Grant No. 61601002), Anhui Provincial Natural Science Foundation (Grant No. 1508085QF139) and Natural Science Foundation of Education Department of Anhui Province (Grant No. KJ2016SD49).

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Authors and Affiliations

  1. School of Physics & Materials Science, Anhui University, Hefei, 230601, China

    Fa Zhao, Dong Wang & Liu Ye

  2. CAS Key Laboratory of Quantum Information, University of Science and Technology of China, Hefei, 230026, China

    Dong Wang

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  1. Fa Zhao
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  2. Dong Wang
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  3. Liu Ye
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Correspondence to Liu Ye.

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Zhao, F., Wang, D. & Ye, L. Relationship Between Entanglement and Coherence in Some Two-Qubit States. Int J Theor Phys 61, 10 (2022). https://doi.org/10.1007/s10773-022-05014-z

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