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Traditional stabilizer codes operate over prime power local-dimensions. Inthis work we extend the stabilizer formalism using thelocal-dimension-invariant setting to import stabilizer codes from thesestandard local-dimensions to other cases. In particular, we show that anytraditional stabilizer code can be used for analog continuous-variable codes,and consider restrictions in phase space and discretized phase space. This putsthis framework on equivalent footing as traditional stabilizer codes. Followingthis, using extensions of the prior ideas, we show that a stabilizer codeoriginally designed with a finite field local-dimension can be transformed intoa code with the same $n$, $k$, and $d$ parameters for any integral domain ring.This is of theoretical interest and can be of use for systems whoselocal-dimension is better described by mathematical rings, for which thispermits the use of traditional stabilizer codes for protecting theirinformation as well.

Stabilizer Codes with Exotic Local-dimensions