The 15-to-1 magic state distillation protocol can be made deterministic and measurement-free with a coherent feedback network, suppressing noise as O(p^2) instead of O(p^3).
If qubit 14 is flipped OR no X-syndrome qubits are flipped, apply no Z-flip to qubit 0
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Magic state distillation without measurements and post-selection
The 15-to-1 magic state distillation protocol can be made deterministic and measurement-free with a coherent feedback network, suppressing noise as O(p^2) instead of O(p^3).