Entanglement fidelity (source code)

= Entanglement fidelity
{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.