Fault-tolerant quantum computation in concatenation of verified cluster states

Keisuke Fujii, Katsuji Yamamoto, Alexander Lvovsky · AIP conference proceedings · 2009

A novel scheme is presented for fault‐tolerant quantum computation based on the cluster model. Some relevant logical cluster states are constructed in concatenation by post‐selection through verification, without necessity of recovery operation, where a suitable code such as the Steane’s 7‐qubit code is adopted for transversal operations. This simple concatenated construction of verified cluster states achieves a high noise threshold ∼4%, and restrains the divergence of resources.

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