New nonadditive ((7,2,3)) and ((8,2,3)) codes are claimed to support transversal T, sqrt(T), and T^(1/4) gates, improving on the previous smallest examples.
Codeword stabilized quantum codes: Algo- rithm and structure
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Transversal Gates in Nonadditive Quantum Codes
New nonadditive ((7,2,3)) and ((8,2,3)) codes are claimed to support transversal T, sqrt(T), and T^(1/4) gates, improving on the previous smallest examples.