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Strictly local one-dimensional topological quantum error correction with symmetry-constrained cellular automata

Strictly local one-dimensional topological quantum error correction with symmetry-constrained cellular automata

Active quantum error correction on topological codes is one of the most promising routes to long-term qubit storage. In view of future applications, the scalability of the used decoding algorithms in physical implementations is crucial. In this work, we focus on the one-dimensional Majorana chain and construct a strictly local …