For a family of spherically symmetric quantum errors, any non-degenerate quantum code leaves the corrected state no closer to the ideal, and any detected syndrome randomizes the logical qubits.
Symposium on the Foundations of Computer Science, Los Alamitos, CA, (1996)
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Quantum codes do not fix isotropic errors
For a family of spherically symmetric quantum errors, any non-degenerate quantum code leaves the corrected state no closer to the ideal, and any detected syndrome randomizes the logical qubits.