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Quantum error correction of decoherence and faulty control operations forms the backbone of all of quantum information processing. Despite remarkable progress on this front since the discovery of quantum error correcting codes more than a decade ago, important open problems in both theory and applications to real physical systems remain. The Fifth International Conference on Quantum Error Correction will bring together a wide group of experts from academia and industry to discuss all aspects of decoherence control, quantum error correction and fault tolerance.