Quantum error correction with degenerate codes for correlated noise

Abstract

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.

5 pages, published version

References in corpus (3)

• Probabilistic theories with purification
• Non-Markovian dynamics of double quantum dot charge qubits due to acoustic phonons
• Complementarity of Private and Correctable Subsystems in Quantum Cryptography and Error Correction

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