Fault-tolerant quantum computation with high threshold in two dimensions.

We present a scheme of fault-tolerant quantum computation for a local architecture in two spatial dimensions. The error threshold is 0.75% for each source in an error model with preparation, gate, storage, and measurement errors.

[1]  John Preskill,et al.  Quantum accuracy threshold for concatenated distance-3 codes , 2006, Quantum Inf. Comput..

[2]  I. Chuang,et al.  Quantum Computation and Quantum Information: Bibliography , 2010 .

[3]  P. Zoller,et al.  Entanglement of Atoms via Cold Controlled Collisions , 1998, quant-ph/9810087.

[4]  S. Simon,et al.  Braid topologies for quantum computation. , 2005, Physical review letters.

[5]  H. Bombin,et al.  Topological quantum distillation. , 2006, Physical review letters.

[6]  H. Briegel,et al.  Measurement-based quantum computation on cluster states , 2003, quant-ph/0301052.

[7]  J. Preskill,et al.  Confinement Higgs transition in a disordered gauge theory and the accuracy threshold for quantum memory , 2002, quant-ph/0207088.

[8]  E. Knill,et al.  Resilient quantum computation: error models and thresholds , 1997, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[9]  A. Kitaev,et al.  Universal quantum computation with ideal Clifford gates and noisy ancillas (14 pages) , 2004, quant-ph/0403025.

[10]  R. Raussendorf,et al.  A fault-tolerant one-way quantum computer , 2005, quant-ph/0510135.

[11]  E. Knill Quantum computing with realistically noisy devices , 2005, Nature.

[12]  Koujin Takeda,et al.  Exact location of the multicritical point for finite-dimensional spin glasses: a conjecture , 2005, cond-mat/0501372.

[13]  Tetsuo Matsui,et al.  Phase structure of the random plaquette Z(2) gauge model: Accuracy threshold for a toric quantum memory , 2004, quant-ph/0401101.

[14]  A. Kitaev Fault tolerant quantum computation by anyons , 1997, quant-ph/9707021.

[15]  L. Deslauriers,et al.  T-junction ion trap array for two-dimensional ion shuttling, storage, and manipulation , 2005, quant-ph/0508097.

[16]  Sergey Bravyi Universal quantum computation with the v=5/2 fractional quantum Hall state , 2006 .

[17]  J. Preskill,et al.  Topological quantum memory , 2001, quant-ph/0110143.

[18]  Michael A. Nielsen,et al.  The Solovay-Kitaev algorithm , 2006, Quantum Inf. Comput..