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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
Preprint Aug 2026

State preparation via measurement and feedback: pushing relations, state structures, and non-invertible symmetries

Quantum circuits with measurements and unitary feedback (MF) can prepare long-range entangled states in constant depth, but a systematic construction of the MF preparation circuit for a given target state remains underexplored. We develop such a scheme for one-dimensional states, based on the notion of pushable defects...

Yabo Li, Aditi Mitra, Tsung-Cheng Lu · 1 citation

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