A lower bound on the overhead of addressable surgery on sparse stabiliser codes

2026-10-12 · arXiv Quantum Physics

arXiv:2610.11097v2 Announce Type: replace

Abstract: We show that, for stabilisers codes, there always exists a logical subspace requiring $\tilde{\Omega}(k^2)$ ancillary qubits to be measured with a sparse surgery ancilla. For CSS codes the hard subspace can be taken to be generated by all-X, or all-Z operators. As a result, for codes with large $k$, constant overhead ancillas can only realise a small fraction of possible measurements.

原文链接：https://arxiv.org/abs/2610.11097

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