A genuine maximally seven-qubit entangled state
  Contrary to A.Borras et al.'s [1] conjecture, a genuine maximally seven-qubit entangled state is presented. We find a seven-qubit state whose marginal density matrices for subsystems of 1,2- qubits are all completely mixed and for subsystems of 3-qubits is almost completely mixed. 
Xin-Wei Zha, Hai-Yang Song, Jian-Xia Qi, Dong Wang, Qian Lan
quant-ph