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Hypergraph product codes introduced by Tillich and Z\'emor are a class of quantum LDPC codes with constant rate and distance scaling with the square-root of the block size.
Paths, trees, and flowers
J. Edmonds · 1965
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Expander codes
M. Sipser and D. A. Spielman · 1994
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Fault-tolerant quantum computation
P. W. Shor · 1996
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Fault-tolerant quantum computation with constant error
D. Aharonov and M. Ben-Or · 1997
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Quantum computations: algorithms and error correction
A. Y. Kitaev · 1997
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Resilient quantum computation: error models and thresholds
E. Knill, R. Laflamme, and W. H. Zurek · 1998
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Z2-systolic freedom and quantum codes
M. H. Freedman, D. A. Meyer, and F. Luo · 2002
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Modern coding theory
T. Richardson and R. Urbanke · 2008
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Tradeoffs for reliable quantum information storage in surface codes and color codes
N. Delfosse · 2013
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Fault-tolerant quantum computation with constant overhead
D. Gottesman · 2014
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Quantum error correcting codes and 4-dimensional arithmetic hyperbolic manifolds
L. Guth and A. Lubotzky · 2014
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Quantum ldpc codes with positive rate and minimum distance proportional to the square root of the blocklength
J.-P. Tillich and G. Zémor · 2014
Cited alongside, same era.
Quantum expander codes
A. Leverrier, J.-P. Tillich, and G. Zémor · 2015
Cited alongside, same era.
Golden codes: quantum ldpc codes built from regular tessellations of hyperbolic 4-manifolds
V. Londe and A. Leverrier · 2017
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Hyperbolic and semi-hyperbolic surface codes for quantum storage
N. P. Breuckmann, C. Vuillot, E. Campbell, A. Krishna, and B. M. Terhal · 2017
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The small stellated dodecahedron code and friends
J. Conrad, C. Chamberland, N. P. Breuckmann, and B. M. Terhal · 2018
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Efficient decoding of random errors for quantum expander codes
O. Fawzi, A. Grospellier, and A. Leverrier · 2018
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Constant overhead quantum fault-tolerance with quantum expander codes
O. Fawzi, A. Grospellier, and A. Leverrier · 2018
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Constructions and noise threshold of hyperbolic surface codes
N. P. Breuckmann and B. M. Terhal · 2016
Cited alongside, same era.
Numerical and analytical bounds on threshold error rates for hypergraph-product codes
A. A. Kovalev, S. Prabhakar, I. Dumer, and L. P. Pryadko · 2018
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