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Quantum low-density parity-check (LDPC) codes are a promising avenue to reduce the cost of constructing scalable quantum circuits.
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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Quantum codes on a lattice with boundary
S. Bravyi and A. Y. Kitaev · 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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Quantum accuracy threshold for concatenated distance-3 codes
P. Aliferis, D. Gottesman, and J. Preskill · 2005
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Topological quantum distillation
H. Bombin and M. A. Martin-Delgado · 2006
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A no-go theorem for a two-dimensional self-correcting quantum memory based on stabilizer codes
S. Bravyi and B. Terhal · 2009
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Tradeoffs for reliable quantum information storage in 2D systems
S. Bravyi, D. Poulin, and B. Terhal · 2010
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Bandwidth, expansion, treewidth, separators and universality for bounded-degree graphs
J. Böttcher, K. P. Pruessmann, A. Taraz, and A. Würfl · 2010
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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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Lecture notes on metric embeddings
J. Matoušek · 2013
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Handbook of Linear Algebra, Second Edition
L. Hogben · 2013
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Large-scale modular quantum-computer architecture with atomic memory and photonic interconnects
C. Monroe, R. Raussendorf, A. Ruthven, K. Brown, P. Maunz, L.-M. Duan, and J. Kim · 2014
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Fault-tolerant quantum computation with constant overhead
D. Gottesman · 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
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Decoding in hyperbolic spaces: Quantum LDPC codes with linear rate and efficient error correction
M. B. Hastings · 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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Universal transversal gates with color codes: A simplified approach
Compilation of fault-tolerant quantum heuristics for combinatorial optimization
Y. R. Sanders, D. W. Berry, P. C. Costa, L. W. Tessler, N. Wiebe, C. Gidney, H. Neven, and R. Babbush · 2020
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Silicon-integrated telecommunications photon-spin interface
L. Bergeron, C. Chartrand, A. Kurkjian, K. Morse, H. Riemann, N. Abrosimov, P. Becker, H.-J. Pohl, M. Thewalt, and S. Simmons · 2020
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Architecting noisy intermediate-scale trapped ion quantum computers
P. Murali, D. M. Debroy, K. R. Brown, and M. Martonosi · 2020
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Decodable quantum LDPC codes beyond the square root distance barrier using high dimensional expanders
S. Evra, T. Kaufman, and G. Zémor · 2020
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Quantum LDPC codes with almost linear minimum distance
P. Panteleev and G. Kalachev · 2020
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The Probabilistic Method, 4th Edition
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Constructions and noise threshold of hyperbolic surface codes
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J. O’Gorman and E. T. Campbell · 2017
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Experimental comparison of two quantum computing architectures
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Golden codes: quantum LDPC codes built from regular tessellations of hyperbolic 4-manifolds
V. Londe and A. Leverrier · 2017
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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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