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Multiple choice
The CKW monogamy inequality for three qubits, using the tangle (squared concurrence), states
C
A
B
2
+
C
A
C
2
≤
C
A
(
B
C
)
2
C_{AB}^2 + C_{AC}^2 \le C_{A(BC)}^2
C
A
B
2
+
C
A
C
2
≤
C
A
(
B
C
)
2
. For the GHZ and W states, what are the values of the three-tangle
τ
A
B
C
=
C
A
(
B
C
)
2
−
C
A
B
2
−
C
A
C
2
\tau_{ABC} = C_{A(BC)}^2 - C_{AB}^2 - C_{AC}^2
τ
A
B
C
=
C
A
(
B
C
)
2
−
C
A
B
2
−
C
A
C
2
?
🔬 try it before you answer
τ
=
1
\tau = 1
τ
=
1
for both GHZ and W
τ
=
0
\tau = 0
τ
=
0
for GHZ and
τ
=
1
\tau = 1
τ
=
1
for W
τ
=
1
\tau = 1
τ
=
1
for GHZ (all entanglement tripartite) and
τ
=
0
\tau = 0
τ
=
0
for W (inequality saturated, all pairwise)
τ
=
0
\tau = 0
τ
=
0
for both GHZ and W
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