Quantifying the Parameterized Monogamy Relation for Quantum Entanglement with Equation

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.