One-shot quantum error correction of classical and quantum information

Quantum error correction (QEC) is one of the central concepts in quantum information science and also has wide applications fundamental physics. The capacity theorems provide solid foundations QEC. We here a general highly applicable form theorem for both classical information, i.e., hybrid with assistance limited resource entanglement one-shot scenario, which covers broader situations than existing ones. Harnessing applicability theorem, we show that demonstration QEC by short random circuits feasible intrinsic chaotic systems. Our results bridge progress theory, near-future technology,