The Criterion of Maximally Four- and Five-Qubit Entangled States via Monogamy Linear Entropy Relations

Monogamy linear entropy relations are discovered and have many interesting properties in multi-qubit entanglement field. Recently, Zha et al. presents a monogamous linear entropy relation for pure quantum states of N qubits. By using this relation, we present a generalized criterion for absolutely maximally four-, and five-qubit states. For four-qubit, it is easy to show that absolutely maximally entangled (AME) states do not exist. Additionally, we can easy to show that absolutely maximally entangled states exist for five-qubit states.