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valbert4 committed Jul 14, 2024
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E_{\ell}=\left(\frac{\gamma}{1-\gamma}\right)^{\ell/2}\frac{a^{\ell}}{\sqrt{\ell!}}\left(1-\gamma\right)^{\hat{n}/2}\,,
\end{align}
where \(\gamma\in[0,1)\) is the noise rate \cite{doi:10.1088/0954-8998/1/2/005,arxiv:1708.05010}.
Restricting the channel to the first two Fock states \(\{|0\rangle,|1\rangle\}) yields the non-Pauli qubit amplitude damping channel, which requires protecting against the loss error \(E_1\propto X+iY\) instead of \(X\) and \(Y\) Pauli errors individually.
Restricting the channel to the first two Fock states \(\{|0\rangle,|1\rangle\}\) yields the non-Pauli qubit amplitude damping channel, which requires protecting against the loss error \(E_1\propto X+iY\) instead of \(X\) and \(Y\) Pauli errors individually.
Both channels are called AD since the context makes clear which one is being referred to.
protection: |
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