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We consider geometric methods of ``rotating" the toric code in higher dimensions to reduce the qubit count.
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M. B. Hastings, Quantum codes from high-dimensional manifolds, in 8th Innovations in Theoretical Computer Science Conference (ITCS 2017) , Vol. 67 (Schloss Dagstuhl–Leibniz-Zentrum fuer Informatik, 2017) p. 25
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