Clifford gates with logical transversality for self-dual CSS codes

The work determines if self-dual Calderbank-Shor-Steane (CSS) codes have a compatible symplectic basis, which is necessary for efficiently implementing logical Clifford gates. The authors prove that such codes always possess this basis and provide methods to construct it. This enables transversal implementation of logical gates, crucial for fault-tolerant quantum computation with low overhead.

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