For unitarily covariant codes, approximate correction of local erasure is possible exactly when the conditional min-entropy of the encoded Choi state is at most a simple function of the logical dimension and the allowed error probability.
Here we have j≤n
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A new approximate Eastin-Knill theorem
For unitarily covariant codes, approximate correction of local erasure is possible exactly when the conditional min-entropy of the encoded Choi state is at most a simple function of the logical dimension and the allowed error probability.