A zero-level CCZ distillation protocol using the [[8,3,2]] code and lattice surgery achieves logical error rate scaling p_L ≈ 300 p² with only 22 physical qubits and 24 circuit depth.
Implementing fault-tolerant non-clifford gates us- ing the [[8, 3, 2]] color code.Physical Review A, 109(6):062438, 2024
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Zero-level $CCZ$ Distillation
A zero-level CCZ distillation protocol using the [[8,3,2]] code and lattice surgery achieves logical error rate scaling p_L ≈ 300 p² with only 22 physical qubits and 24 circuit depth.