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{title2=$F_e(\rho,\Lambda)$}
{wiki}

For a purification $|\Psi_\rho\rangle_{RA}$, the entanglement fidelity of a channel $\Lambda$ is
$$
F_e(\rho,\Lambda)=
\langle\Psi_\rho|(\operatorname{id}_R\otimes\Lambda)
(|\Psi_\rho\rangle\langle\Psi_\rho|)
|\Psi_\rho\rangle.
$$
It is independent of the chosen purification.


Entanglement fidelity

Past exam of the mathematics course of the University of Cambridge / 2021 / iii / Paper 323 / 1 / a / iii / Solution

Past exam of the mathematics course of the University of Cambridge / 2021 / iii / Paper 323 / 1 / a / ii / Solution

Entanglement fidelity ( $F_{e} (ρ, Λ)$ )

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Entanglement fidelity (Fe​(ρ,Λ))

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Entanglement fidelity ( $F_{e} (ρ, Λ)$ )

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