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Quantifying the Parameterized Monogamy Relation for Quantum Entanglement with Equation

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Abstract

An extended concept of monogamy for the square of entanglement measure E is introduced in our work. Instead of the traditional CKW inequality, we build a monogamy connection based on the parameters \(\mu \), from which we obtain a monogamy relationship satisfied by the \(\alpha \)th (\(\alpha \ge 2\)) power of the entanglement measures. We use concrete instances to highlight the significance and advantages of these relation. We further show that monogamy relationship may be restored by considering multiple state copies for each nonadditive entanglement measurement that violates the CKW inequality. We also demonstrate how the relationship between tripartite states and multiparty systems might be strengthened.

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The data that support the findings of this study are available from the corresponding author upon reasonable request.

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Acknowledgements

This work is supported by National Natural Science Foundation of China (11961073).

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Authors and Affiliations

  1. Department of Mathematics, College of Sciences, Yanbian University, Yanji, 133002, China

    Dongping Xuan, Xiaohui Hu, Guangri Piao & Hua Nan

  2. School of Physics, University of Chinese Academy of Sciences, Yuquan Road 19A, Beijing, 100049, China

    Zhixiang Jin

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  1. Dongping Xuan
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  2. Xiaohui Hu
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  3. Zhixiang Jin
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  4. Guangri Piao
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  5. Hua Nan
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Contributions

Writing-original draft, Dongping Xuan, Xiaohui Hu and Hua Nan; Writing-review and editing, Hua Nan, Piao Guangri and Zhixiang Jin. All authors have read and agreed to the published version of the manuscript.

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Correspondence to Hua Nan.

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Xuan, D., Hu, X., Jin, Z. et al. Quantifying the Parameterized Monogamy Relation for Quantum Entanglement with Equation. Int J Theor Phys 62, 131 (2023). https://doi.org/10.1007/s10773-023-05386-w

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