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Explore the intersection of entropic order and quantum error correction in this 44-minute conference talk delivered at the Kavli Institute for Theoretical Physics. Delve into how noise necessitates quantum error correction and fault-tolerance for scalable quantum computation, examining recent advances in programmable quantum computing platforms that have achieved dramatic breakthroughs in quantum error correction implementation. Investigate novel families of quantum codes in non-local geometries that challenge conventional understanding of matter phases, alongside optimization results for quantum error correction under structured noise models that can reduce practical implementation overhead. Discover how these developments create new challenges and scientific opportunities in quantum many-body physics when describing properties and evolution of encoded quantum matter. Learn about quantum many-body systems through the framework of quantum error correction and fault-tolerance, with emphasis on results relevant to near-term quantum device experiments. This presentation is part of a broader conference exploring stable phases of quantum matter and quantum error correction, coordinated by leading researchers in the field.
