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Explore a groundbreaking construction method for three-dimensional topological codes in this 54-minute conference talk presented by Dominic Williamson from the University of Sydney at IPAM's Topology, Quantum Error Correction and Quantum Gravity Workshop. Delve into the process of transforming stabilizer codes into topological defect networks composed of surface code layers interconnected by one-dimensional junctions. Discover how this technique produces codes with a maximum stabilizer check weight of six and optimal scaling parameters when applied to good low-density parity check code families. Gain insights into the resulting three-dimensional topological codes and their polynomial energy barriers, advancing understanding in quantum error correction and topological quantum computing.
