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.
Very low overhead fault-tolerant magic state preparation using re- dundant ancilla encoding and flag qubits.npj Quantum Information, 6(1):91, 2020
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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.