= Bit-flipped Bell resource teleportation
{title2=$\rho_{\rm out}=p\rho+(1-p)X\rho X$}
Distributing one half of $|\Phi^+\rangle$ through a <quantum bit-flip channel> produces $p\Pi_{\Phi^+}+(1-p)\Pi_{\Psi^+}$. Ideal <quantum teleportation> with error-free classical correction bits induces the same bit-flip map on the input: conjugating the resource error by any <Pauli gate> correction changes at most its sign. For a pure target the squared <quantum fidelity> is $p+(1-p)|\langle X\rangle|^2$. This describes noise in resource distribution, not a perfect resource supplied by an independent channel.
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