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Spatially-coupled (SC) codes is a class of convolutional LDPC codes that has been well investigated in classical coding theory thanks to their high performance and compatibility with low-latency decoders.
“Low-density parity-check codes”
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M. Sipser and D.A. Spielman · 1996
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A. Robert Calderbank, Eric M. Rains, Peter W. Shor, and Neil J. A. Sloane · 1997
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Daniel Gottesman · 1997
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A Yu Kitaev · 1997
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“Quantum error correction via codes over GF(4)”
A. Robert Calderbank, Eric M. Rains, Peter W. Shor, and Neil J. A. Sloane · 1998
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“Quantum codes on a lattice with boundary” (1998)
Sergey B Bravyi and A Yu Kitaev · 1998
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“Design of capacity-approaching irregular low-density parity-check codes”
Thomas J Richardson, Mohammad Amin Shokrollahi, and Rüdiger L Urbanke · 2001
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“The capacity of low-density parity-check codes under message-passing decoding”
Thomas J Richardson and Rüdiger L Urbanke · 2001
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Eric Dennis, Alexei Kitaev, Andrew Landahl, and John Preskill · 2002
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Michael H Freedman, David A Meyer, and Feng Luo · 2002
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“Fault-tolerant quantum computation by anyons”
A Yu Kitaev · 2003
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Harold Ollivier and Jean-Pierre Tillich · 2003
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“Quasicyclic low-density parity-check codes from circulant permutation matrices”
M. P. C. Fossorier · 2004
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“On the iterative decoding of sparse quantum codes”
David Poulin and Yeojin Chung · 2008
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“On cayley graphs, surface codes, and the limits of homological coding for quantum error correction”
Gilles Zémor · 2009
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“Tradeoffs for reliable quantum information storage in 2d systems”
Sergey Bravyi, David Poulin, and Barbara Terhal · 2010
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“Quantum erasure-correcting codes and percolation on regular tilings of the hyperbolic plane”
Nicolas Delfosse and Gilles Zémor · 2010
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“Iterative decoding threshold analysis for LDPC convolutional codes”
M. Lentmaier, A. Sridharan, D. J. Costello, and K. S. Zigangirov · 2010
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“Spatially coupled quasi-cyclic quantum LDPC codes”
Manabu Hagiwara, Kenta Kasai, Hideki Imai, and Kohichi Sakaniwa · 2011
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“Windowed decoding of protograph-based LDPC convolutional codes over erasure channels”
Aravind R Iyengar, Marco Papaleo, Paul H Siegel, Jack Keil Wolf, Alessandro Vanelli-Coralli, and Giovanni E Corazza · 2011
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“Threshold saturation via spatial coupling: Why convolutional LDPC ensembles perform so well over the BEC”
S. Kudekar, T. J. Richardson, and R. L. Urbanke · 2011
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Austin G Fowler, Matteo Mariantoni, John M Martinis, and Andrew N Cleland · 2012
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Clare Horsman, Austin G Fowler, Simon Devitt, and Rodney Van Meter · 2012
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“Windowed decoding of spatially coupled codes”
Aravind R Iyengar, Paul H Siegel, Rüdiger L Urbanke, and Jack Keil Wolf · 2012
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Daniel A Lidar and Todd A Brun · 2013
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Jeongwan Haah · 2013
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“Design and analysis of time-invariant SC-LDPC convolutional codes with small constraint length”
M. Battaglioni, A. Tasdighi, G. Cancellieri, F. Chiaraluce, and M. Baldi · 2018
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“A channel-aware combinatorial approach to design high performance spatially-coupled codes”
Ahmed Hareedy, Ruiyi Wu, and Lara Dolecek · 2020
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“Multi-dimensional spatially-coupled code design: Enhancing the cycle properties”
Homa Esfahanizadeh, Lev Tauz, and Lara Dolecek · 2020
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“Non-uniform windowed decoding for multi-dimensional spatially-coupled LDPC codes”
Lev Tauz, Homa Esfahanizadeh, and Lara Dolecek · 2020
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“Decoding across the quantum low-density parity-check code landscape”
Joschka Roffe, David R. White, Simon Burton, and Earl Campbell · 2020
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“Quantum LDPC codes with positive rate and minimum distance proportional to the square root of the blocklength”
Jean-Pierre Tillich and Gilles Zémor · 2014
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S. Kumar, A. J. Young, N. Macris, and H. D. Pfister · 2014
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“Quantum error correction for quantum memories”
Barbara M Terhal · 2015
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D. G. M. Mitchell, M. Lentmaier, and D. J. Costello · 2015
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Nicolas Delfosse, Pavithran Iyer, and David Poulin · 2016
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