New form Simple Structure of Maximally Eight-qubit Entanglement State

In a recent paper (Zha et al. Laser Phys. Lett. 10 , 045201, 2013 ), presented a criterion of maximally mutiqubit entangled states (MMES). Though there are several known examples of maximally entangled quantum states of two, three, five and six qubits, the mathematical structure for multi-qubit entanglement of more than seven qubits is less clear. With an emphasis on eight qubits, by this criterion, two new forms of maximally eight-qubit MMES is obtained, where the subsystems of 1, 2, and 3-qubits are all completely mixed. We believe that the new form eight-qubit maximally entangled state can play an important role in quantum information.