|q⟩
Bad Qubits
Play
Quest
Questions
Learn
Playground
☕
← Question Bank
Multiple choice
The entanglement of formation
E
F
(
ρ
)
E_F(\rho)
E
F
(
ρ
)
of a mixed state is defined as the convex roof of the pure-state entanglement. Concretely, over all pure-state ensembles
{
p
i
,
∣
ψ
i
⟩
}
\{p_i, |\psi_i\rangle\}
{
p
i
,
∣
ψ
i
⟩}
that realize
ρ
\rho
ρ
, it is:
🔬 try it before you answer
The von Neumann entropy
S
(
ρ
)
S(\rho)
S
(
ρ
)
of the full mixed state
The minimum (infimum) of the average pure-state entanglement,
min
∑
i
p
i
E
(
∣
ψ
i
⟩
)
\min \sum_i p_i E(|\psi_i\rangle)
min
∑
i
p
i
E
(
∣
ψ
i
⟩)
The average pure-state entanglement of one fixed eigen-decomposition of
ρ
\rho
ρ
The maximum of the average pure-state entanglement,
max
∑
i
p
i
E
(
∣
ψ
i
⟩
)
\max \sum_i p_i E(|\psi_i\rangle)
max
∑
i
p
i
E
(
∣
ψ
i
⟩)
Check answer