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Entanglement measure based on optimal entanglement witness

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Abstract

We introduce a new entanglement measure based on optimal entanglement witness. First of all, we show that the entanglement measure satisfies some necessary properties, including zero entanglements for all separable states, convexity, continuity, invariance under local unitary operations and non-increase under local operations and classical communication (LOCC). More than that, we give a specific mathematical expression for the lower bound of this entanglement measure for any bipartite mixed states. We further improve the lower bound for 2\( \otimes \)2 systems. Finally, we numerically simulate the lower bound of several types of specific quantum states.

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Acknowledgements

This work was supported by the Shandong Provincial Natural Science Foundation for Quantum Science No.ZR2021LLZ002, and the Fundamental Research Funds for the Central Universities No.22CX03005A.

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Authors and Affiliations

  1. College of Science, China University of Petroleum, Qingdao, 266580, People’s Republic of China

    Nan Yang, Jiaji Wu, Xianyun Dong, Longyu Xiao, Jing Wang & Ming Li

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  1. Nan Yang
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  2. Jiaji Wu
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  3. Xianyun Dong
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  4. Longyu Xiao
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  5. Jing Wang
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  6. Ming Li
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Correspondence to Jing Wang.

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Yang, N., Wu, J., Dong, X. et al. Entanglement measure based on optimal entanglement witness. Quantum Inf Process 22, 296 (2023). https://doi.org/10.1007/s11128-023-04056-4

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