Quantum error correction with degenerate codes for correlated noise
Giulio Chiribella, Michele Dall’Arno, Giacomo Mauro D’Ariano, Chiara Macchiavello, Paolo Perinotti · Physical Review A · 2011
We introduce a quantum packing bound on the minimal resources required by nondegenerate error-correction codes for any kind of noise. We prove that degenerate codes can outperform nondegenerate ones in the presence of correlated noise, by exhibiting examples where the quantum packing bound is violated.