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Topological Codes Based on Space Groups

Building quantum error-correction codes with less repetitive structure

Researchers expanded how to build topological codes—a leading approach to protecting quantum computers from errors—by relaxing the requirement that they repeat perfectly across space. The new codes combine translation symmetry with rotations and reflections, and surprisingly, they can require fewer qubits in practice than the standard designs, making them simpler to build.

Quantum computers remain fragile, and error correction is essential before they can solve real problems. This work expands the toolkit for designing error-correcting codes that fit better with actual quantum hardware, potentially reducing the number of physical qubits needed to run a reliable quantum computer.