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codes/quantum/properties/qecc_finite.yml

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@@ -106,7 +106,7 @@ features:
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\(r\) over a quantum channel \(\mathcal{E}\) iff, for sufficiently large \(n\), \(m=\lfloor r n \rfloor\),
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and for all \(\epsilon>0\),
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\begin{align}
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||\mathcal{D}\mathcal{E}\mathcal{U}-I^{\otimes m}||_1\leq \epsilon
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\lVert\mathcal{D}\mathcal{E}\mathcal{U}-I^{\otimes m}\rVert_1\leq \epsilon
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\end{align}
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for some encoding channel \(\mathcal{U}\) and some recovery channel \(\mathcal{D}\).
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The quantum capacity \(Q\) of \(\mathcal{E}\) is defined as the supremum over \(n\) of achievable transmission rates \cite{doi:10.1017/9781316848142}.

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