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arXiv · 1704.05857

Reliable channel-adapted error correction: Bacon-Shor code recovery from amplitude damping

Álvaro Piedrafita·Joseph M. Renes
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Abstract

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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Álvaro Piedrafita, Joseph M. Renes. 2017-04-19. Reliable channel-adapted error correction: Bacon-Shor code recovery from amplitude damping. https://doi.org/10.1103/physrevlett.119.250501

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