Fetching the paper…
Reading the bibliography…
We study a three-fold variant of the hypergraph product code construction, differing from the standard homological product of three classical codes.
The theory of matrices , volume 131
Feliks Ruvimovich Gantmacher · 1959
Earlier work this paper cites.
Good quantum error-correcting codes exist
A Robert Calderbank and Peter W Shor · 1996
Earlier work this paper cites.
Expander codes
Michael Sipser and Daniel A Spielman · 1996
Earlier work this paper cites.
Multiple-particle interference and quantum error correction
Andrew Steane · 1996
Earlier work this paper cites.
Stabilizer codes and quantum error correction
Daniel Gottesman · 1997
Earlier work this paper cites.
Existence of generalized inverse of linear transformations over finite fields
Chuan-Kun Wu and Ed Dawson · 1998
Earlier work this paper cites.
Z2-systolic freedom and quantum codes
Michael H Freedman, David A Meyer, and Feng Luo · 2002
Earlier work this paper cites.
Matrices: Theory and Applications , volume 216
Denis Serre · 2002
Earlier work this paper cites.
Fault-tolerant quantum computation by anyons
A Yu Kitaev · 2003
Earlier work this paper cites.
Quantum glassiness in strongly correlated clean systems: an example of topological overprotection
Claudio Chamon · 2005
Earlier work this paper cites.
Exact topological quantum order in d = 3 d=3 and beyond: Branyons and brane-net condensates
H. Bombin and M. A. Martin-Delgado · 2007
Earlier work this paper cites.
A no-go theorem for a two-dimensional self-correcting quantum memory based on stabilizer codes
Sergey Bravyi and Barbara Terhal · 2009
Earlier work this paper cites.
Majorana fermion codes
Sergey Bravyi, Barbara M Terhal, and Bernhard Leemhuis · 2010
Earlier work this paper cites.
Topological order in an exactly solvable 3D spin model
Sergey Bravyi, Bernhard Leemhuis, and Barbara M Terhal · 2010
Cited alongside, same era.
Local stabilizer codes in three dimensions without string logical operators
Jeongwan Haah · 2011
Cited alongside, same era.
Quantum Kronecker sum-product low-density parity-check codes with finite rate
Alexey A Kovalev and Leonid P Pryadko · 2013
Cited alongside, same era.
Quantum LDPC codes with positive rate and minimum distance proportional to the square root of the blocklength
Jean-Pierre Tillich and Gilles Zémor · 2013
Cited alongside, same era.
Homological product codes
Sergey Bravyi and Matthew B Hastings · 2014
Cited alongside, same era.
Quantum systems on non- k k -hyperfinite complexes: a generalization of classical statistical mechanics on expander graphs
Constant overhead quantum fault-tolerance with quantum expander codes
Omar Fawzi, Antoine Grospellier, and Anthony Leverrier · 2018
Later among the works it cites.
On tensor products of CSS Codes
Benjamin Audoux and Alain Couvreur · 2019
Later among the works it cites.
Higher-dimensional quantum hypergraph-product codes with finite rates
Weilei Zeng and Leonid P. Pryadko · 2019
Later among the works it cites.
Decodable quantum LDPC codes beyond the square root distance barrier using high dimensional expanders
Shai Evra, Tali Kaufman, and Gilles Zémor · 2020
Closest in time.
Minimal distances for certain quantum product codes and tensor products of chain complexes
Weilei Zeng and Leonid P. Pryadko · 2020
Closest in time.
The XZZX surface code
J Pablo Bonilla Ataides, David K Tuckett, Stephen D Bartlett, Steven T Flammia, and Benjamin J Brown · 2021
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Michael H Freedman and Matthew B Hastings · 2014
Cited alongside, same era.
Codes correcteurs quantiques pouvant se décoder itérativement
Denise Maurice · 2014
Cited alongside, same era.
Quantum locally testable codes
Dorit Aharonov and Lior Eldar · 2015
Cited alongside, same era.
Quantum expander codes
Anthony Leverrier, Jean-Pierre Tillich, and Gilles Zémor · 2015
Cited alongside, same era.
Quantum error correction for quantum memories
Barbara M Terhal · 2015
Cited alongside, same era.
Quantum memories at finite temperature
Benjamin J Brown, Daniel Loss, Jiannis K Pachos, Chris N Self, and James R Wootton · 2016
Cited alongside, same era.
Isoperimetric inequalities for Ramanujan complexes and topological expanders
Tali Kaufman, David Kazhdan, and Alexander Lubotzky · 2016
Cited alongside, same era.
Closest in time.
Balanced product quantum codes
Nikolas P. Breuckmann and Jens N. Eberhardt · 2021
Closest in time.
New cosystolic expanders from tensors imply explicit Quantum LDPC codes with Ω ( n log k n ) \Omega(n\log^{k}n) distance
Tali Kaufman and Ran J. Tessler · 2021
Closest in time.
Degenerate quantum LDPC codes with good finite length performance
Pavel Panteleev and Gleb Kalachev · 2021
Closest in time.
Quantum LDPC codes with almost linear minimum distance
Pavel Panteleev and Gleb Kalachev · 2021
Closest in time.
Single-shot error correction of three-dimensional homological product codes
Armanda O. Quintavalle, Michael Vasmer, Joschka Roffe, and Earl T. Campbell · 2021
Closest in time.
Quantum pin codes
Christophe Vuillot and Nikolas P. Breuckmann · 2022
Closest in time.
A theory of single-shot error correction for adversarial noise
Earl T Campbell · 2058
Closest in time.