We propose a straightforward method to determine the maximal entanglement of pure states using the criterion of maximal I-concurrence, a measure of entanglement. The square of concurrence for a bipartition \(X|X^\prime \) of a pure state is defined as \(E^2_{X| X ^\prime }=2[1-\textrm{tr}({\rho _X}^2)]\) . From this, we can infer that the concurrence \(E_{X| X ^\prime }\) reaches its maximum when \(\textrm{tr}({\rho _X}^2)\) is minimised. Using this approach, we have established the connection to the entanglement entropy to identify numerous Absolutely Maximally Entangled (AME) pure states that exhibit maximal entanglement across all possible bipartitions. Conditions are derived for pure states to achieve maximal mixedness in all bipartitions, revealing that any pure state with an odd number of subsystem coefficients does not meet the AME criterion. Furthermore, we obtain Equal Maximally Entangled (EME) pure states across all bipartitions using our maximal concurrence criterion.
