Unitaries over the rings Z[1/2], Z[1/√2], Z[1/i√2], and Z[1/2,i] are exactly the circuits over four Clifford+T-derived gate sets.
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Number-Theoretic Characterizations of Some Restricted Clifford+T Circuits
Unitaries over the rings Z[1/2], Z[1/√2], Z[1/i√2], and Z[1/2,i] are exactly the circuits over four Clifford+T-derived gate sets.