Here, we only show the full-dimensional entanglement polytopes, corresponding to genuinely four-qubit entangled quantum states in \(\mathbb C^2 \otimes \mathbb C^2 \otimes \mathbb C^2 \otimes \mathbb C^2\).

\( \lambda_1^{\max} \) = 0.75
No. Class Description Vertices Faces Perms.
1 \( L_{0_{7\oplus \bar{1}}} \) Origin (0.5,0.5,0.5,0.5) replaced by (0.75,0.5,0.5,0.5). 12 13 4
2 \( L_{0_{5\oplus 3}} \) Vertices (0.5,0.5,0.5,0.5) and (1,0.5,0.5,0.5) missing. 10 13 4
3 \( L_{a_4} \) (\( a=0 \)) Vertices (0.5,1,0.5,0.5), (0.5,0.5,0.5,1), (0.5,0.5,0.5,0.5) missing. 9 14 6
4 \( L_{\text{ab}_3} \) (\( b=-a \)) All three-partite entangled vertices missing. 8 16 1
5 \( L_{\text{ab}_3} \) (\( a=b=0 \)) W-state. All three- and four-partite entangled vertices missing. 7 9 1
6 \( L_{a_2b_2} \) (\( b = -a \)) Vertices (0.5,1,0.5,0.5), (0.5,0.5,0.5,1) missing. 10 14 6
7 \( G_{\text{abcd}} \) (generic) Generic polytope. 12 12 1
Finally, explore a fermionic system