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We propose a new strategy to decode color codes, which is based on the projection of the error onto three surface codes.
Maximum matching and a polyhedron with 0-1 vertices
Edmonds, J · 1965
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Path, trees, and flowers
Edmonds, J · 1965
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Algorithm 447: Efficient algorithms for graph manipulation
Hopcroft, J., and Tarjan, R · 1973
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Computers and intractability: A guide to the theory of NP-completeness
Johnson, D., and Garey, M · 1979
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Good quantum error-correcting codes exist
Calderbank, A., and Shor, P · 1996
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Multiple-particle interference and quantum error correction
Steane, A · 1996
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Topological quantum memory
Dennis, E., Kitaev, A., Landahl, A., and Preskill, J · 2002
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Algebraic topology
Hatcher, A · 2002
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Fault-tolerant quantum computation by anyons
Kitaev, A · 2003
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Sparse-graph codes for quantum error correction
MacKay, D. J. C., Mitchison, G., and McFadden, P. L · 2004
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Topological quantum distillation
Bombin, H., and Martin-Delgado, M · 2006
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Homological error correction: Classical and quantum codes
Bombin, H., and Martin-Delgado, M · 2007
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On the iterative decoding of sparse quantum codes
Poulin, D., and Chung, Y · 2008
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Error threshold for color codes and random three-body ising models
Katzgraber, H. G., Bombin, H., and Martin-Delgado, M · 2009
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Blossom V: a new implementation of a minimum cost perfect matching algorithm
Kolmogorov, V · 2009
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Accuracy thresholds of topological color codes on the hexagonal and square-octagonal lattices
Ohzeki, M · 2009
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Quantum LDPC codes with positive rate and minimum distance proportional to n 1 / 2 n^{1/2} ;
Tillich, J.-P., and Zémor, G · 2009
Fault-tolerant quantum computing with color codes
Landahl, A. J., Anderson, J. T., and Rice, P. R · 2011
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Strong resilience of topological codes to depolarization
Bombin, H., Andrist, R. S., Ohzeki, M., Katzgraber, H. G., and Martin-Delgado, M · 2012
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Universal topological phase of two-dimensional stabilizer codes
Bombin, H., Duclos-Cianci, G., and Poulin, D · 2012
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Towards practical classical processing for the surface code
Fowler, A., Whiteside, A., and Hollenberg, L · 2012
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Efficient decoding of topological color codes
Sarvepalli, P., and Raussendorf, R · 2012
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Tradeoffs for reliable quantum information storage in 2D systems
Bravyi, S., Poulin, D., and Terhal, B · 2010
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A renormalization group decoding algorithm for topological quantum codes
Duclos-Cianci, G., and Poulin, D · 2010
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Graphical algorithms and threshold error rates for the 2d color code
Wang, D., Fowler, A., Hill, C., and Hollenberg, L · 2010
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Wang, D., Fowler, A., Stephens, A., and Hollenberg, L · 2010
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Audoux, B · 2013
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Couvreur, A., Delfosse, N., and Zémor, G · 2013
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Tradeoffs for reliable quantum information storage in surface codes and color codes
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