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Author

Zi-Jian Song

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Preprint Oct 2026

Engineering logical gates with irrep surface codes

Fault-tolerant quantum computation typically relies on a fixed set of logical primitives, while realizing other desired operations can require substantial resources. We introduce irrep surface codes (ISCs), two-dimensional topological quantum error-correcting codes engineered to transversally implement a prescribed set...

Ya-Bo Li, Zi-Jian Song, Vieri Mattei et al. · 0 citations
Preprint Oct 2026

Fusion-assisted decoding of non-Abelian topological order

Maximum likelihood (ML) decoders perform quantum error correction by measuring a set of syndromes, classically computing an optimal recovery based on these syndromes and the noise model, and then performing that recovery. ML decoders are well understood for the toric code and generalize straightforwardly to other surfa...

R. Sajith, Ya-Bo Li, Zi-Jian Song et al. · 1 citation

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