Year: 2026
Type: preprint
Abstract: We show that, for stabilisers codes, there always exists a logical subspace requiring $\tildeΩ(k^2)$ 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.
Source: arXiv (Cornell University)
Author: Baspin, Nouédyn
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7221194429