Part of the Science with QuEra webinar series, this presentation covers the Nature Physics 20, 1084 (2024) paper "Constant-overhead Fault-tolerant Quantum Computation with Reconfigurable Atom Arrays", presented by two of the paper's authors.
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The research leverages high-rate quantum low-density parity-check (qLDPC) codes, which encode multiple logical qubits using fewer physical qubits. These qLDPC codes have a linear scaling rate, vastly outperforming traditional surface codes.

Watch as Pablo dives into:

• The theory behind optimizing classical codes to develop qLDPC codes, where encoded logical qubits scale linearly with physical qubits
• How hypergraph codes, a subset of the qLDPC family, can practically permute atom arrays in neutral-atom systems
• A proposed algorithm that implements syndrome extraction in orders of magnitude less than coherence time