Entanglement Polytope Explorer

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 $\mathrm{GHZ}$ Greenberger–Horne–Zeilinger state 6 6
2 $W$ The W-state is the other genuinely entangled state 5 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 $\mathrm{SEP}$ Separable, i.e. product state. 1 1
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