QEC Recovery Maps

Recovery map construction and application for qudit's three built-in methods across standard codes. Noise: amplitude damping at $\gamma =0.05$.

No cross-framework comparison — qudit is the only library with these methods natively.

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Construction

Application

Notes:

• Petz — pseudo-inverse recovery. Construction involves matrix eigendecomposition; application is a linear channel.
• Leung — polar decomposition recovery. SVD-based construction; similar application cost.
• Cafaro — normalisation recovery. Lightest construction; application equivalent to others.
• All three are $O(d^{2n})$ per application for $n$-qudit codes.