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 first, employing one-bit teleportation and single-qubit measurements, needs only one fourth as many physical qubits, while the second, using just stabilizer measurements and Pauli corrections, needs only half. We show that existing fault-tolerance methods can be employed for the latter, while the former can be made to avoid potential catastrophic errors and can easily cope with damping faults in ancilla qubits.

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Stakeholder QuSoft
Series arXiv.org e-Print archive
Piedrafita, Á, & Renes, J.M. (2017). Reliable channel-adapted error correction: Bacon-Shor code recovery from amplitude damping. arXiv.org e-Print archive.