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Recent work on fault-tolerant quantum computation making use of topological error correction shows great potential, with the 2d surface code possessing a threshold error rate approaching 1% (NJoP 9:199, 2007), (arXiv:0905.0531).
Paths, trees, and flowers
J. Edmonds · 1965
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Maximum matching and a polyhedron with 0, 1-vertices
J. Edmonds · 1965
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Algorithms for quantum computation: Discrete logarithms and factoring
P. W. Shor · 1994
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Scheme for reducing decoherence in quantum computer memory
P. W. Shor · 1995
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Good quantum error-correcting codes exist
A. R. Calderbank and P. W. Shor · 1996
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Multiple particle interference and quantum error correction
A. M. Steane · 1996
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Accuracy threshold for quantum computation
E. Knill, R. Laflamme, and W. H. Zurek · 1996
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Fault-tolerant quantum computation by anyons
A. Yu. Kitaev · 1997
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Computing minimum-weight perfect matchings
W. Cook and A. Rohe · 1999
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Topological quantum memory
E. Dennis, A. Kitaev, A. Landahl, and J. Preskill · 2002
Cited alongside, same era.
Topological quantum distillation
H. Bombin and M. A. Martin-Delgado · 2006
Cited alongside, same era.
A fault-tolerant one-way quantum computer
R. Raussendorf, J. Harrington, and K. Goyal · 2006
Cited alongside, same era.
Topological fault-tolerance in cluster state quantum computation
R. Raussendorf, J. Harrington, and K. Goyal · 2007
Cited alongside, same era.
Noise threshold for a fault-tolerant two-dimensional lattice architecture
Latency in local, two-dimensional, fault-tolerant quantum computing
F. M. Spedalieri and V. P. Roychowdhury · 2008
Later among the works it cites.
High threshold universal quantum computation on the surface code
A. G. Fowler, A. M. Stephens, and P. Groszkowski · 2008
Later among the works it cites.
Universal quantum computation without state distillation on a 2-D color code
Austin G. Fowler · 2008
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Topological cluster state quantum computing
A. G. Fowler and K. Goyal · 2008
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K. M. Svore, D. DiVincenzo, and B. Terhal · 2007
Cited alongside, same era.
D. S. Wang, A. G. Fowler, A. M. Stephens, L. C. L. Hollenberg · 2009
Closest in time.
Error threshold for color codes and random 3-body Ising models
M. A. Martin-Delgado Helmut G. Katzgraber, H. Bombin · 2009
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