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$\begingroup$ I guess it depends on what you mean by trivial. Just spitballing, if you correct any error E, then your transversal gates can't include any gates generated by the infinitesimal generator for E. That means that, restricting to any subsystem, your universal set of transversal gates can't be universal on that subsystem. Imma go with "probably trivial". $\endgroup$– squigglesCommented Jul 2 at 3:34
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