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Reliable Channel-Adapted Error Correction: Bacon-Shor Code Recovery from Amplitude Damping

Reliable Channel-Adapted Error Correction: Bacon-Shor Code Recovery from Amplitude Damping

We construct two simple error correction schemes adapted to amplitude damping noise for Bacon-Shor codes and investigate their prospects for fault-tolerant implementation. Both consist solely of Clifford gates and require far fewer qubits, relative to the standard method, to achieve correction to a desired order in the damping rate. The …