In the below table, we list the entanglement polytopes for each of the six entanglement classes of a three-qubit system, with Hilbert space \(\mathbb C^2 \otimes \mathbb C^2 \otimes \mathbb C^2\). Please click the rows of the table to display the corresponding polytopes.

No. Class Description Vertices Faces
1 \( \operatorname{GHZ} \) Greenberger–Horne–Zeilinger state 5 6
2 \( W \) The W-state is the other genuinely entangled state 4 4
3 \( B_1 \) Biseparable state corresponding to a Bell state shared between particles 2 and 3 2 2
4 \( B_2 \) Biseparable state corresponding to a Bell state shared between particles 1 and 3 2 2
5 \( B_3 \) Biseparable state corresponding to a Bell state shared between particles 1 and 2 2 2
6 \( \operatorname{SEP} \) Separable, i.e., product state 1 1
Next, explore four qubits...