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Quantum information processors need to be protected against errors and faults.
Maximum matching and a polyhedron with 0-1 vertices
J. Edmonds · 1965
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Path, trees, and flowers
J. Edmonds · 1965
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Stabilizer Codes and Quantum Error Correction
D. Gottesman · 1997
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Codes for the quantum erasure channel
M. Grassl, T. Beth, and T. Pellizzari · 1997
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Capacities of quantum erasure channels
C.H. Bennett, D.P. DiVincenzo, and J.A. Smolin · 1997
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Quantum codes on a lattice with boundary
S.B. Bravyi and A.Y. Kitaev · 1998
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Projective plane and planar quantum codes
M. H. Freedman and D. A. Meyer · 2001
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Topological quantum memory
E. Dennis, A. Kitaev, A. Landahl, and J. Preskill · 2002
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Algebraic topology
A. Hatcher · 2002
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Z2-systolic freedom and quantum codes
M.H. Freedman, D.A. Meyer, and F. Luo · 2002
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Fault-tolerant quantum computation by anyons
A.Y. Kitaev · 2003
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Sparse-graph codes for quantum error correction
D. J. C. MacKay, G. Mitchison, and P. L. McFadden · 2004
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A fault-tolerant one-way quantum computer
R. Raussendorf, J. Harrington, and K. Goyal · 2006
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Topological quantum distillation
H. Bombin and M.A. Martin-Delgado · 2006
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Fault-tolerant quantum computation with high threshold in two dimensions
R. Raussendorf and J. Harrington · 2007
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Topological fault-tolerance in cluster state quantum computation
R. Raussendorf, J. Harrington, and K. Goyal · 2007
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Quantum codes on Hurwitz surfaces
I.H. Kim · 2007
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Modern Coding Theory
T. Richardson and R. Urbanke · 2008
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On the iterative decoding of sparse quantum codes
Surface codes: Towards practical large-scale quantum computation
A. G. Fowler, M. Mariantoni, J. M Martinis, and A. N Cleland · 2012
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Quantum self-correction in the 3d cubic code model
S. Bravyi and J. Haah · 2013
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Upper bounds on the rate of low density stabilizer codes for the quantum erasure channel
N. Delfosse and G. Zémor · 2013
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Tradeoffs for reliable quantum information storage in surface codes and color codes
N. Delfosse · 2013
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Fault tolerance of quantum low-density parity check codes with sublinear distance scaling
A. A. Kovalev and L. P. Pryadko · 2013
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Fault-tolerant quantum computation with constant overhead
D. Gottesman · 2014
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D. Poulin and Y. Chung · 2008
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On Cayley graphs, surface codes, and the limits of homological coding for quantum error correction
G. Zémor · 2009
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Graphs, surfaces and homology
P. Giblin · 2010
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Quantum erasure-correcting codes and percolation on regular tilings of the hyperbolic plane
N. Delfosse and G. Zémor · 2010
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Fault tolerant quantum computation with very high threshold for loss errors
S. D Barrett and T. M Stace · 2010
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Topological order with a twist: Ising anyons from an abelian model
H. Bombin · 2010
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A decoding algorithm for CSS codes using the X/Z correlations
N. Delfosse and J-P Tillich · 2014
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Constructions and noise threshold of hyperbolic surface codes
N. P Breuckmann and B. M Terhal · 2015
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A. Leverrier, J-P Tillich, and G. Zémor · 2015
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Surface code error correction on a defective lattice
S. Nagayama, A. G Fowler, D. Horsman, S. J Devitt, and R. Van Meter · 2016
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Generalized surface codes and packing of logical qubits
N. Delfosse, P. Iyer, and D. Poulin · 2016
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Poking holes and cutting corners to achieve clifford gates with the surface code
M. S. Kesselring B. J. Brown, K. Laubscher and J. R. Wootton · 2016
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