Abstract We study the robustness of entanglement for W and GHZ mixed states of three and four qubits. By using the definition of the robustness of entanglement and constructing multi-partite fully separable states, we obtain the analytical upper bound of the robustness of entanglement. By analyzing the entanglement witness , we obtain the lower bound of the robustness of entanglement. Then we find that the upper bound and the lower bound are fully coincident, which shows that our results are accurate and valuable.
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Zhen et al. (2024) studied this question.
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