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Non-Abelian Self-Correcting Quantum Memory and Transversal Non-Clifford Gate Beyond the n^1/3 Distance Barrier

Po-Shen Hsin ^1,2,*, Ryohei Kobayashi^3,4,†, and Guanyu Zhu ^5,‡

¹Mani L. Bhaumik Institute for Theoretical Physics, 475 Portola Plaza, Los Angeles, California 90095, USA
²Department of Mathematics, King’s College London, Strand, London WC2R 2LS, United Kingdom
³Department of Physics, Condensed Matter Theory Center, and Joint Quantum Institute, University of Maryland, College Park, Maryland 20742, USA
⁴School of Natural Sciences, Institute for Advanced Study, Princeton, New Jersey 08540, USA
⁵IBM Quantum, IBM T.J. Watson Research Center, Yorktown Heights, New York 10598, USA

^*Contact author: po-shen.hsin@kcl.ac.uk
^†Contact author: ryok@ias.edu
^‡Contact author: guanyu.zhu@ibm.com

Automorphism in gauge theories: Higher symmetries and transversal non-Clifford logical gates

Po-Shen Hsin and Ryohei Kobayashi

SciPost Phys. 20 159 (2026)

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