First qLDPC code constructions with transversal non-Clifford phase gates, obtained by embedding a local code with the desired transversal gate into a Tanner-based hypergraph or balanced product code, at the cost of O(1) Z-distance.
1 applies, giving a net phase gate of P 2wi q
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Transversal Gates for Highly Asymmetric qLDPC Codes
First qLDPC code constructions with transversal non-Clifford phase gates, obtained by embedding a local code with the desired transversal gate into a Tanner-based hypergraph or balanced product code, at the cost of O(1) Z-distance.