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Phys Rev Lett. 2010 Dec 17;105(25):250503. Epub 2010 Dec 14.

Fault-tolerant topological one-way quantum computation with probabilistic two-qubit gates.

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1
Department of Nuclear Engineering, Kyoto University, Kyoto 606-8501, Japan.

Abstract

We propose a scalable way to construct a 3D cluster state for fault-tolerant topological one-way computation (TOWC) even if the entangling two-qubit gates succeed with a small probability. It is shown that fault-tolerant TOWC can be performed with the success probability of the two-qubit gate such as 0.5 (0.1) provided that the unheralded error probability of the two-qubit gate is less than 0.040% (0.016%). Furthermore, the resource usage is considerably suppressed compared to the conventional fault-tolerant schemes with probabilistic two-qubit gates.

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