
@article{dirac_new_1939,
	title = {A new notation for quantum mechanics},
	volume = {35},
	issn = {1469-8064, 0305-0041},
	doi = {10.1017/S0305004100021162},
	language = {en},
	number = {3},
	journal = {Mathematical Proceedings of the Cambridge Philosophical Society},
	author = {Dirac, P. a. M.},
	month = jul,
	year = {1939},
	pages = {416--418},
}

@article{huang_improved_2023,
	title = {Improved {Noisy} {Syndrome} {Decoding} of {Quantum} {LDPC} {Codes} with {Sliding} {Window}},
	doi = {10.48550/arXiv.2311.03307},
	publisher = {arXiv},
	author = {Huang, Shilin and Puri, Shruti},
	month = nov,
	year = {2023},
}

@article{huang_increasing_2024,
	title = {Increasing memory lifetime of quantum low-density parity check codes with sliding-window noisy syndrome decoding},
	volume = {110},
	doi = {10.1103/PhysRevA.110.012453},
	number = {1},
	journal = {Physical Review A},
	publisher = {American Physical Society},
	author = {Huang, Shilin and Puri, Shruti},
	month = jul,
	year = {2024},
	pages = {012453},
}

@article{xu_batched_2025,
	title = {Batched high-rate logical operations for quantum {LDPC} codes},
	doi = {10.48550/arXiv.2510.06159},
	publisher = {arXiv},
	author = {Xu, Qian and Zhou, Hengyun and Bluvstein, Dolev and Cain, Madelyn and Kalinowski, Marcin and Preskill, John and Lukin, Mikhail D. and Maskara, Nishad},
	month = oct,
	year = {2025},
}

@article{gidney_stability_2022,
	title = {Stability {Experiments}: {The} {Overlooked} {Dual} of {Memory} {Experiments}},
	volume = {6},
	issn = {2521-327X},
	shorttitle = {Stability {Experiments}},
	doi = {10.22331/q-2022-08-24-786},
	journal = {Quantum},
	author = {Gidney, Craig},
	month = aug,
	year = {2022},
	pages = {786},
}

@article{koutsioumpas_colour_2025,
	title = {Colour {Codes} {Reach} {Surface} {Code} {Performance} using {Vibe} {Decoding}},
	doi = {10.48550/arXiv.2508.15743},
	publisher = {arXiv},
	author = {Koutsioumpas, Stergios and Noszko, Tamas and Sayginel, Hasan and Webster, Mark and Roffe, Joschka},
	month = aug,
	year = {2025},
}

@article{koutsioumpas_automorphism_2025,
	title = {Automorphism {Ensemble} {Decoding} of {Quantum} {LDPC} {Codes}},
	language = {en},
	author = {Koutsioumpas, Stergios and Sayginel, Hasan and Webster, Mark and Browne, Dan E},
	month = mar,
	year = {2025},
}

@article{gottesman_heisenberg_1998,
	title = {The {Heisenberg} {Representation} of {Quantum} {Computers}},
	doi = {10.48550/arXiv.quant-ph/9807006},
	publisher = {arXiv},
	author = {Gottesman, Daniel},
	month = jul,
	year = {1998},
}

@article{gidney_stim_2021,
	title = {Stim: a fast stabilizer circuit simulator},
	volume = {5},
	shorttitle = {Stim},
	doi = {10.22331/q-2021-07-06-497},
	language = {en-GB},
	journal = {Quantum},
	publisher = {Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften},
	author = {Gidney, Craig},
	month = jul,
	year = {2021},
	pages = {497},
}

@phdthesis{higgott_practical_2024,
	type = {Doctoral},
	title = {Practical and {Efficient} {Quantum} {Error} {Correction}},
	copyright = {open},
	language = {eng},
	school = {UCL (University College London)},
	author = {Higgott, Oscar},
	month = jan,
	year = {2024},
}

@misc{noauthor_css_2025,
	title = {{CSS} codes},
	language = {en},
	journal = {IBM Quantum Learning},
	month = nov,
	year = {2025},
}

@misc{gong_toward_2024,
	title = {Toward {Low}-latency {Iterative} {Decoding} of {QLDPC} {Codes} {Under} {Circuit}-{Level} {Noise}},
	language = {en},
	journal = {arXiv.org},
	author = {Gong, Anqi and Cammerer, Sebastian and Renes, Joseph M.},
	month = mar,
	year = {2024},
}

@article{miao_quaternary_2025,
	title = {Quaternary {Neural} {Belief} {Propagation} {Decoding} of {Quantum} {LDPC} {Codes} with {Overcomplete} {Check} {Matrices}},
	volume = {13},
	issn = {2169-3536},
	doi = {10.1109/ACCESS.2025.3539475},
	journal = {IEEE Access},
	author = {Miao, Sisi and Schnerring, Alexander and Li, Haizheng and Schmalen, Laurent},
	month = feb,
	year = {2025},
	pages = {25637--25649},
}

@misc{tsouchlos_ccam_2024,
	title = {{CCAM} {Summary}},
	author = {Tsouchlos, Andreas},
	month = oct,
	year = {2024},
}

@article{kschischang_factor_2001,
	title = {Factor graphs and the sum-product algorithm},
	volume = {47},
	issn = {1557-9654},
	doi = {10.1109/18.910572},
	number = {2},
	journal = {IEEE Transactions on Information Theory},
	author = {Kschischang, F.R. and Frey, B.J. and Loeliger, H.-A.},
	month = feb,
	year = {2001},
	pages = {498--519},
}

@book{griffiths_introduction_1995,
	title = {Introduction to {Quantum} {Mechanics}},
	isbn = {0-13-124405-1},
	language = {en},
	publisher = {Prentice Hall},
	author = {Griffiths, David J.},
	year = {1995},
}

@misc{bradley_tensor_2018,
	title = {The {Tensor} {Product}, {Demystified}},
	author = {Bradley, Tai-Danae},
	month = nov,
	year = {2018},
}

@book{nielsen_quantum_2010,
	address = {Cambridge},
	title = {Quantum {Computation} and {Quantum} {Information}: 10th {Anniversary} {Edition}},
	isbn = {978-0-511-97666-7},
	shorttitle = {Quantum {Computation} and {Quantum} {Information}},
	doi = {10.1017/CBO9780511976667},
	language = {en},
	publisher = {Cambridge University Press},
	author = {Nielsen, Michael A. and Chuang, Isaac L.},
	month = dec,
	year = {2010},
}

@article{geiselhart_automorphism_2021,
	title = {Automorphism {Ensemble} {Decoding} of {Reed}–{Muller} {Codes}},
	volume = {69},
	issn = {1558-0857},
	doi = {10.1109/TCOMM.2021.3098798},
	number = {10},
	journal = {IEEE Transactions on Communications},
	author = {Geiselhart, Marvin and Elkelesh, Ahmed and Ebada, Moustafa and Cammerer, Sebastian and Brink, Stephan ten},
	month = jul,
	year = {2021},
	pages = {6424--6438},
}

@article{derks_designing_2025,
	title = {Designing fault-tolerant circuits using detector error models},
	doi = {10.48550/arXiv.2407.13826},
	publisher = {arXiv},
	author = {Derks, Peter-Jan H. S. and Townsend-Teague, Alex and Burchards, Ansgar G. and Eisert, Jens},
	month = oct,
	year = {2025},
}

@phdthesis{klinke_neural_2025,
	address = {Karlsruhe},
	type = {Bachelor's {Thesis}},
	title = {Neural {Belief} {Propagation} {Ensemble} {Decoding} of {Quantum} {LDPC} {Codes}},
	language = {English},
	school = {KIT},
	author = {Klinke, Jeremi},
	month = sep,
	year = {2025},
}

@article{camps-moreno_toward_2024,
	title = {Toward {Quantum} {CSS}-{T} {Codes} from {Sparse} {Matrices}},
	doi = {10.48550/arXiv.2406.00425},
	abstract = {CSS-T codes were recently introduced as quantum error-correcting codes that respect a transversal gate. A CSS-T code depends on a pair \$(C\_1, C\_2)\$ of binary linear codes \$C\_1\$ and \$C\_2\$ that satisfy certain conditions. We prove that \$C\_1\$ and \$C\_2\$ form a CSS-T pair if and only if \$C\_2 {\textbackslash}subset {\textbackslash}operatorname\{Hull\}(C\_1) {\textbackslash}cap {\textbackslash}operatorname\{Hull\}(C\_1{\textasciicircum}2)\$, where the hull of a code is the intersection of the code with its dual. We show that if \$(C\_1,C\_2)\$ is a CSS-T pair, and the code \$C\_2\$ is degenerated on \${\textbackslash}\{i{\textbackslash}\}\$, meaning that the \$i{\textasciicircum}\{th\}\$-entry is zero for all the elements in \$C\_2\$, then the pair of punctured codes \$(C\_1{\textbar}\_i,C\_2{\textbar}\_i)\$ is also a CSS-T pair. Finally, we provide Magma code based on our results and quasi-cyclic codes as a step toward finding quantum LDPC or LDGM CSS-T codes computationally.},
	publisher = {arXiv},
	author = {Camps-Moreno, Eduardo and López, Hiram H. and Matthews, Gretchen L. and McMillon, Emily},
	month = jun,
	year = {2024},
}

@article{roffe_quantum_2019,
	title = {Quantum error correction: an introductory guide},
	volume = {60},
	issn = {0010-7514},
	shorttitle = {Quantum error correction},
	doi = {10.1080/00107514.2019.1667078},
	number = {3},
	journal = {Contemporary Physics},
	publisher = {Taylor \& Francis},
	author = {Roffe, Joschka},
	month = jul,
	year = {2019},
	pages = {226--245},
}

@article{gottesman_introduction_2009,
	title = {An {Introduction} to {Quantum} {Error} {Correction} and {Fault}-{Tolerant} {Quantum} {Computation}},
	doi = {10.48550/arXiv.0904.2557},
	publisher = {arXiv},
	author = {Gottesman, Daniel},
	month = apr,
	year = {2009},
}

@article{gottesman_theory_1998,
	title = {Theory of fault-tolerant quantum computation},
	volume = {57},
	doi = {10.1103/PhysRevA.57.127},
	number = {1},
	journal = {Physical Review A},
	publisher = {American Physical Society},
	author = {Gottesman, Daniel},
	month = jan,
	year = {1998},
	pages = {127--137},
}

@article{calderbank_quantum_1997,
	title = {Quantum {Error} {Correction} via {Codes} over {GF}(4)},
	doi = {10.48550/arXiv.quant-ph/9608006},
	publisher = {arXiv},
	author = {Calderbank, A. R. and Rains, E. M. and Shor, P. W. and Sloane, N. J. A.},
	month = sep,
	year = {1997},
}

@article{gottesman_stabilizer_1997,
	title = {Stabilizer {Codes} and {Quantum} {Error} {Correction}},
	doi = {10.48550/arXiv.quant-ph/9705052},
	publisher = {arXiv},
	author = {Gottesman, Daniel},
	month = may,
	year = {1997},
}

@article{shor_fault-tolerant_1997,
	title = {Fault-tolerant quantum computation},
	doi = {10.48550/arXiv.quant-ph/9605011},
	publisher = {arXiv},
	author = {Shor, Peter W.},
	month = mar,
	year = {1997},
}

@article{divincenzo_fault-tolerant_1996,
	title = {Fault-{Tolerant} {Error} {Correction} with {Efficient} {Quantum} {Codes}},
	volume = {77},
	issn = {0031-9007, 1079-7114},
	doi = {10.1103/PhysRevLett.77.3260},
	number = {15},
	journal = {Physical Review Letters},
	author = {DiVincenzo, David P. and Shor, Peter W.},
	month = oct,
	year = {1996},
	pages = {3260--3263},
}

@article{calderbank_good_1996,
	title = {Good quantum error-correcting codes exist},
	volume = {54},
	doi = {10.1103/PhysRevA.54.1098},
	number = {2},
	journal = {Physical Review A},
	publisher = {American Physical Society},
	author = {Calderbank, A. R. and Shor, Peter W.},
	month = aug,
	year = {1996},
	pages = {1098--1105},
}

@article{shor_scheme_1995,
	title = {Scheme for reducing decoherence in quantum computer memory},
	volume = {52},
	copyright = {http://link.aps.org/licenses/aps-default-license},
	issn = {1050-2947, 1094-1622},
	doi = {10.1103/PhysRevA.52.R2493},
	language = {en},
	number = {4},
	journal = {Physical Review A},
	author = {Shor, Peter W.},
	month = oct,
	year = {1995},
	pages = {R2493--R2496},
}

@article{terhal_quantum_2015,
	title = {Quantum {Error} {Correction} for {Quantum} {Memories}},
	volume = {87},
	issn = {0034-6861, 1539-0756},
	doi = {10.1103/RevModPhys.87.307},
	number = {2},
	journal = {Reviews of Modern Physics},
	author = {Terhal, Barbara M.},
	month = apr,
	year = {2015},
	pages = {307--346},
}

@inproceedings{wohlin_guidelines_2014,
	address = {New York, NY, USA},
	series = {{EASE} '14},
	title = {Guidelines for snowballing in systematic literature studies and a replication in software engineering},
	isbn = {978-1-4503-2476-2},
	doi = {10.1145/2601248.2601268},
	booktitle = {Proceedings of the 18th {International} {Conference} on {Evaluation} and {Assessment} in {Software} {Engineering}},
	publisher = {Association for Computing Machinery},
	author = {Wohlin, Claes},
	month = may,
	year = {2014},
	pages = {1--10},
}

@article{keshav_how_2007,
	title = {How to read a paper},
	volume = {37},
	issn = {0146-4833},
	doi = {10.1145/1273445.1273458},
	number = {3},
	journal = {SIGCOMM Comput. Commun. Rev.},
	author = {Keshav, S.},
	month = jul,
	year = {2007},
	pages = {83--84},
}

@article{blume-kohout_estimating_2025,
	title = {Estimating detector error models from syndrome data},
	doi = {10.48550/arXiv.2504.14643},
	publisher = {arXiv},
	author = {Blume-Kohout, Robin and Young, Kevin},
	month = apr,
	year = {2025},
}

@inproceedings{chatterjee_quantum_2023,
	title = {Quantum {Error} {Correction} {For} {Dummies}},
	volume = {01},
	doi = {10.1109/QCE57702.2023.00017},
	booktitle = {2023 {IEEE} {International} {Conference} on {Quantum} {Computing} and {Engineering} ({QCE})},
	author = {Chatterjee, Avimita and Phalak, Koustubh and Ghosh, Swaroop},
	month = sep,
	year = {2023},
	pages = {70--81},
}

@inproceedings{petersen_systematic_2008,
	title = {Systematic {Mapping} {Studies} in {Software} {Engineering}},
	doi = {10.14236/ewic/EASE2008.8},
	language = {en},
	publisher = {BCS Learning \& Development},
	author = {Petersen, Kai and Feldt, Robert and Mujtaba, Shahid and Mattsson, Michael},
	month = jun,
	year = {2008},
}

@article{postler_demonstration_2024,
	title = {Demonstration of {Fault}-{Tolerant} {Steane} {Quantum} {Error} {Correction}},
	volume = {5},
	doi = {10.1103/PRXQuantum.5.030326},
	number = {3},
	journal = {PRX Quantum},
	publisher = {American Physical Society},
	author = {Postler, Lukas and Butt, Friederike and Pogorelov, Ivan and Marciniak, Christian D. and Heußen, Sascha and Blatt, Rainer and Schindler, Philipp and Rispler, Manuel and Müller, Markus and Monz, Thomas},
	month = aug,
	year = {2024},
	pages = {030326},
}

@article{cao_exact_2025,
	title = {Exact {Decoding} of {Quantum} {Error}-{Correcting} {Codes}},
	volume = {134},
	doi = {10.1103/PhysRevLett.134.190603},
	number = {19},
	journal = {Physical Review Letters},
	publisher = {American Physical Society},
	author = {Cao, Hanyan and Zhao, Shoukuan and Feng, Dongyang and Shen, Zisong and Yan, Haisheng and Su, Tang and Sun, Weijie and Xu, Huikai and Pan, Feng and Yu, Haifeng and Zhang, Pan},
	month = may,
	year = {2025},
	pages = {190603},
}

@misc{beni_tesseract_2025,
	title = {Tesseract: {A} {Search}-{Based} {Decoder} for {Quantum} {Error} {Correction}},
	shorttitle = {Tesseract},
	doi = {10.48550/arXiv.2503.10988},
	publisher = {arXiv},
	author = {Beni, Laleh Aghababaie and Higgott, Oscar and Shutty, Noah},
	month = aug,
	year = {2025},
}

@article{bausch_learning_2024,
	title = {Learning high-accuracy error decoding for quantum processors},
	volume = {635},
	copyright = {2024 The Author(s)},
	issn = {1476-4687},
	doi = {10.1038/s41586-024-08148-8},
	language = {en},
	number = {8040},
	journal = {Nature},
	publisher = {Nature Publishing Group},
	author = {Bausch, Johannes and Senior, Andrew W. and Heras, Francisco J. H. and Edlich, Thomas and Davies, Alex and Newman, Michael and Jones, Cody and Satzinger, Kevin and Niu, Murphy Yuezhen and Blackwell, Sam and Holland, George and Kafri, Dvir and Atalaya, Juan and Gidney, Craig and Hassabis, Demis and Boixo, Sergio and Neven, Hartmut and Kohli, Pushmeet},
	month = nov,
	year = {2024},
	pages = {834--840},
}

@misc{bhardwaj_adaptive_2025,
	title = {Adaptive {Estimation} of {Drifting} {Noise} in {Quantum} {Error} {Correction}},
	doi = {10.48550/arXiv.2511.09491},
	publisher = {arXiv},
	author = {Bhardwaj, Devansh and Takou, Evangelia and Lin, Yingjia and Brown, Kenneth R.},
	month = nov,
	year = {2025},
}

@article{roffe_decoding_2020,
	title = {Decoding across the quantum low-density parity-check code landscape},
	volume = {2},
	doi = {10.1103/PhysRevResearch.2.043423},
	number = {4},
	journal = {Physical Review Research},
	publisher = {American Physical Society},
	author = {Roffe, Joschka and White, David R. and Burton, Simon and Campbell, Earl},
	month = dec,
	year = {2020},
	pages = {043423},
}

@article{marton_optimal_2025,
	title = {Optimal number of stabilizer measurement rounds in an idling surface code patch},
	volume = {9},
	doi = {10.22331/q-2025-06-12-1767},
	language = {en-GB},
	journal = {Quantum},
	publisher = {Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften},
	author = {Márton, Áron and Asbóth, János K.},
	month = jun,
	year = {2025},
	pages = {1767},
}

@article{bausch_learning_2024-1,
	title = {Learning to {Decode} the {Surface} {Code} with a {Recurrent}, {Transformer}-{Based} {Neural} {Network}},
	volume = {635},
	issn = {0028-0836, 1476-4687},
	doi = {10.1038/s41586-024-08148-8},
	number = {8040},
	journal = {Nature},
	author = {Bausch, Johannes and Senior, Andrew W. and Heras, Francisco J. H. and Edlich, Thomas and Davies, Alex and Newman, Michael and Jones, Cody and Satzinger, Kevin and Niu, Murphy Yuezhen and Blackwell, Sam and Holland, George and Kafri, Dvir and Atalaya, Juan and Gidney, Craig and Hassabis, Demis and Boixo, Sergio and Neven, Hartmut and Kohli, Pushmeet},
	month = nov,
	year = {2024},
	pages = {834--840},
}

@misc{lin_abelian_2025,
	title = {Abelian multi-cycle codes for single-shot error correction},
	doi = {10.48550/arXiv.2506.16910},
	publisher = {arXiv},
	author = {Lin, Hsiang-Ku and Lim, Pak Kau and Kovalev, Alexey A. and Pryadko, Leonid P.},
	month = aug,
	year = {2025},
}

@misc{fan_accelerating_2025,
	title = {Accelerating {BP}-{OSD} {Decoder} for {QLDPC} {Codes} with {Local} {Syndrome}-{Based} {Preprocessing}},
	doi = {10.48550/arXiv.2509.01892},
	publisher = {arXiv},
	author = {Fan, Wenxuan and Suzuki, Yasunari and Ravi, Gokul Subramanian and Ueno, Yosuke and Inoue, Koji and Tanimoto, Teruo},
	month = sep,
	year = {2025},
}

@misc{senior_scalable_2025,
	title = {A scalable and real-time neural decoder for topological quantum codes},
	doi = {10.48550/arXiv.2512.07737},
	publisher = {arXiv},
	author = {Senior, Andrew W. and Edlich, Thomas and Heras, Francisco J. H. and Zhang, Lei M. and Higgott, Oscar and Spencer, James S. and Applebaum, Taylor and Blackwell, Sam and Ledford, Justin and Žemgulytė, Akvilė and Žídek, Augustin and Shutty, Noah and Cowie, Andrew and Li, Yin and Holland, George and Brooks, Peter and Beattie, Charlie and Newman, Michael and Davies, Alex and Jones, Cody and Boixo, Sergio and Neven, Hartmut and Kohli, Pushmeet and Bausch, Johannes},
	month = dec,
	year = {2025},
}

@misc{wang_fully_2025,
	title = {Fully {Parallelized} {BP} {Decoding} for {Quantum} {LDPC} {Codes} {Can} {Outperform} {BP}-{OSD}},
	language = {en},
	author = {Wang, Ming and Li, Ang and Mueller, Frank},
	month = jun,
	year = {2025},
}

@misc{ye_beam_2025,
	title = {Beam search decoder for quantum {LDPC} codes},
	language = {en},
	author = {Ye, Min and Wecker, Dave and Delfosse, Nicolas},
	month = dec,
	year = {2025},
}

@misc{hillmann_localized_2024,
	title = {Localized statistics decoding for quantum low-density parity-check codes},
	doi = {10.1038/s41467-025-63214-7},
	language = {en},
	author = {Hillmann, Timo and Berent, Lucas and Quintavalle, Armanda O. and Eisert, Jens and Wille, Robert and Roffe, Joschka},
	month = jun,
	year = {2024},
}

@misc{iolius_almost-linear_2024,
	title = {An almost-linear time decoding algorithm for quantum {LDPC} codes under circuit-level noise},
	language = {en},
	author = {iOlius, Antonio deMarti and Martinez, Imanol Etxezarreta and Roffe, Joschka and Martinez, Josu Etxezarreta},
	month = sep,
	year = {2024},
}

@article{higgott_improved_2023,
	title = {Improved {Decoding} of {Circuit} {Noise} and {Fragile} {Boundaries} of {Tailored} {Surface} {Codes}},
	volume = {13},
	doi = {10.1103/PhysRevX.13.031007},
	number = {3},
	journal = {Physical Review X},
	publisher = {American Physical Society},
	author = {Higgott, Oscar and Bohdanowicz, Thomas C. and Kubica, Aleksander and Flammia, Steven T. and Campbell, Earl T.},
	month = jul,
	year = {2023},
	pages = {031007},
}

@misc{tsubouchi_degeneracy_2025,
	title = {Degeneracy {Cutting}: {A} {Local} and {Efficient} {Post}-{Processing} for {Belief} {Propagation} {Decoding} of {Quantum} {Low}-{Density} {Parity}-{Check} {Codes}},
	shorttitle = {Degeneracy {Cutting}},
	doi = {10.48550/arXiv.2510.08695},
	publisher = {arXiv},
	author = {Tsubouchi, Kento and Yamasaki, Hayata and Tamiya, Shiro},
	month = oct,
	year = {2025},
}

@misc{lee_scalable_2025,
	title = {Scalable {Neural} {Decoders} for {Practical} {Real}-{Time} {Quantum} {Error} {Correction}},
	doi = {10.48550/arXiv.2510.22724},
	publisher = {arXiv},
	author = {Lee, Changwon and Hur, Tak and Park, Daniel K.},
	month = oct,
	year = {2025},
}

@misc{maan_decoding_2025,
	title = {Decoding {Correlated} {Errors} in {Quantum} {LDPC} {Codes}},
	doi = {10.48550/arXiv.2510.14060},
	publisher = {arXiv},
	author = {Maan, Arshpreet Singh and Herrero, Francisco-Garcia and Paler, Alexandru and Savin, Valentin},
	month = oct,
	year = {2025},
}

@article{skoric_parallel_2023,
	title = {Parallel window decoding enables scalable fault tolerant quantum computation},
	volume = {14},
	copyright = {2023 The Author(s)},
	issn = {2041-1723},
	doi = {10.1038/s41467-023-42482-1},
	language = {en},
	number = {1},
	journal = {Nature Communications},
	publisher = {Nature Publishing Group},
	author = {Skoric, Luka and Browne, Dan E. and Barnes, Kenton M. and Gillespie, Neil I. and Campbell, Earl T.},
	month = nov,
	year = {2023},
	pages = {7040},
}

@article{higgott_sparse_2025,
	title = {Sparse {Blossom}: correcting a million errors per core second with minimum-weight matching},
	volume = {9},
	shorttitle = {Sparse {Blossom}},
	doi = {10.22331/q-2025-01-20-1600},
	language = {en-GB},
	journal = {Quantum},
	publisher = {Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften},
	author = {Higgott, Oscar and Gidney, Craig},
	month = jan,
	year = {2025},
	pages = {1600},
}

@article{breuckmann_quantum_2021,
	title = {Quantum {Low}-{Density} {Parity}-{Check} {Codes}},
	volume = {2},
	doi = {10.1103/PRXQuantum.2.040101},
	number = {4},
	journal = {PRX Quantum},
	publisher = {American Physical Society},
	author = {Breuckmann, Nikolas P. and Eberhardt, Jens Niklas},
	month = oct,
	year = {2021},
	pages = {040101},
}

@inproceedings{gokduman_erasure_2024,
	title = {Erasure {Decoding} for {Quantum} {LDPC} {Codes} via {Belief} {Propagation} with {Guided} {Decimation}},
	issn = {2836-4503},
	doi = {10.1109/Allerton63246.2024.10735275},
	booktitle = {2024 60th {Annual} {Allerton} {Conference} on {Communication}, {Control}, and {Computing}},
	author = {Gökduman, Mert and Yao, Hanwen and Pfister, Henry D.},
	month = sep,
	year = {2024},
	pages = {1--8},
}

@misc{swierkowska_eccentric_2025,
	title = {{ECCentric}: {An} {Empirical} {Analysis} of {Quantum} {Error} {Correction} {Codes}},
	shorttitle = {{ECCentric}},
	doi = {10.48550/arXiv.2511.01062},
	publisher = {arXiv},
	author = {{\'S}wierkowska, Aleksandra and Pflieger, Jannik and Giortamis, Emmanouil and Bhatotia, Pramod},
	month = nov,
	year = {2025},
}

@phdthesis{guernut_fault-tolerant_2025,
	type = {phdthesis},
	title = {Fault-tolerant manipulation of quantum information with {LDPC} stabilizer codes},
	language = {en},
	school = {Université de Lorraine},
	author = {Guernut, Alexandre},
	month = may,
	year = {2025},
}

@article{dennis_topological_2002,
	title = {Topological quantum memory},
	volume = {43},
	issn = {0022-2488, 1089-7658},
	doi = {10.1063/1.1499754},
	number = {9},
	journal = {Journal of Mathematical Physics},
	author = {Dennis, Eric and Kitaev, Alexei and Landahl, Andrew and Preskill, John},
	month = sep,
	year = {2002},
	pages = {4452--4505},
}

@article{tan_scalable_2023,
	title = {Scalable {Surface}-{Code} {Decoders} with {Parallelization} in {Time}},
	volume = {4},
	doi = {10.1103/PRXQuantum.4.040344},
	number = {4},
	journal = {PRX Quantum},
	publisher = {American Physical Society},
	author = {Tan, Xinyu and Zhang, Fang and Chao, Rui and Shi, Yaoyun and Chen, Jianxin},
	month = dec,
	year = {2023},
	pages = {040344},
}

@article{bravyi_high-threshold_2024,
	title = {High-threshold and low-overhead fault-tolerant quantum memory},
	volume = {627},
	issn = {0028-0836, 1476-4687},
	doi = {10.1038/s41586-024-07107-7},
	number = {8005},
	journal = {Nature},
	author = {Bravyi, Sergey and Cross, Andrew W. and Gambetta, Jay M. and Maslov, Dmitri and Rall, Patrick and Yoder, Theodore J.},
	month = mar,
	year = {2024},
	pages = {778--782},
}

@article{kuo_exploiting_2022,
	title = {Exploiting degeneracy in belief propagation decoding of quantum codes},
	volume = {8},
	copyright = {2022 The Author(s)},
	issn = {2056-6387},
	doi = {10.1038/s41534-022-00623-2},
	language = {en},
	number = {1},
	journal = {npj Quantum Information},
	publisher = {Nature Publishing Group},
	author = {Kuo, Kao-Yueh and Lai, Ching-Yi},
	month = sep,
	year = {2022},
	pages = {111},
}

@misc{kuo_fault-tolerant_2024,
	title = {Fault-{Tolerant} {Belief} {Propagation} for {Practical} {Quantum} {Memory}},
	doi = {10.48550/arXiv.2409.18689},
	publisher = {arXiv},
	author = {Kuo, Kao-Yueh and Lai, Ching-Yi},
	month = sep,
	year = {2024},
}

@misc{poor_ultra_2025,
	title = {Ultra {Low} {Overhead} {Syndrome} {Extraction} for the {Steane} code},
	doi = {10.48550/arXiv.2511.13700},
	publisher = {arXiv},
	author = {Poór, Boldizsár and Rodatz, Benjamin and Kissinger, Aleks},
	month = nov,
	year = {2025},
}

@article{feynman_simulating_1982,
	title = {Simulating physics with computers},
	volume = {21},
	issn = {1572-9575},
	doi = {10.1007/BF02650179},
	language = {en},
	number = {6},
	journal = {International Journal of Theoretical Physics},
	author = {Feynman, Richard P.},
	month = jun,
	year = {1982},
	pages = {467--488},
}

@inproceedings{shor_algorithms_1994,
	title = {Algorithms for quantum computation: discrete logarithms and factoring},
	shorttitle = {Algorithms for quantum computation},
	doi = {10.1109/SFCS.1994.365700},
	booktitle = {Proceedings 35th {Annual} {Symposium} on {Foundations} of {Computer} {Science}},
	author = {Shor, P.W.},
	month = nov,
	year = {1994},
	pages = {124--134},
}

@article{preskill_quantum_2018,
	title = {Quantum {Computing} in the {NISQ} era and beyond},
	volume = {2},
	doi = {10.22331/q-2018-08-06-79},
	language = {en-GB},
	journal = {Quantum},
	publisher = {Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften},
	author = {Preskill, John},
	month = aug,
	year = {2018},
	pages = {79},
}

@misc{google_quantum_ai_quantum_nodate,
	title = {Quantum {Computing} {Roadmap}},
	language = {en},
	journal = {Google Quantum AI},
	author = {{Google Quantum AI}},
}

@article{fowler_high-threshold_2009,
	title = {High-threshold universal quantum computation on the surface code},
	volume = {80},
	doi = {10.1103/PhysRevA.80.052312},
	number = {5},
	journal = {Physical Review A},
	publisher = {American Physical Society},
	author = {Fowler, Austin G. and Stephens, Ashley M. and Groszkowski, Peter},
	month = nov,
	year = {2009},
	pages = {052312},
}

@article{zhang_classical_2023,
	title = {A {Classical} {Architecture} for {Digital} {Quantum} {Computers}},
	volume = {5},
	doi = {10.1145/3626199},
	number = {1},
	journal = {ACM Transactions on Quantum Computing},
	author = {Zhang, Fang and Zhu, Xing and Chao, Rui and Huang, Cupjin and Kong, Linghang and Chen, Guoyang and Ding, Dawei and Feng, Haishan and Gao, Yihuai and Ni, Xiaotong and Qiu, Liwei and Wei, Zhe and Yang, Yueming and Zhao, Yang and Shi, Yaoyun and Zhang, Weifeng and Zhou, Peng and Chen, Jianxin},
	month = dec,
	year = {2023},
	pages = {3:1--3:24},
}

@misc{caune_demonstrating_2024,
	title = {Demonstrating real-time and low-latency quantum error correction with superconducting qubits},
	doi = {10.48550/arXiv.2410.05202},
	publisher = {arXiv},
	author = {Caune, Laura and Skoric, Luka and Blunt, Nick S. and Ruban, Archibald and McDaniel, Jimmy and Valery, Joseph A. and Patterson, Andrew D. and Gramolin, Alexander V. and Majaniemi, Joonas and Barnes, Kenton M. and Bialas, Tomasz and Buğdaycı, Okan and Crawford, Ophelia and Gehér, György P. and Krovi, Hari and Matekole, Elisha and Topal, Canberk and Poletto, Stefano and Bryant, Michael and Snyder, Kalan and Gillespie, Neil I. and Jones, Glenn and Johar, Kauser and Campbell, Earl T. and Hill, Alexander D.},
	month = oct,
	year = {2024},
}

@misc{ye_beam_2025-1,
	title = {Beam search decoder for quantum {LDPC} codes},
	doi = {10.48550/arXiv.2512.07057},
	publisher = {arXiv},
	author = {Ye, Min and Wecker, Dave and Delfosse, Nicolas},
	month = dec,
	year = {2025},
}

@misc{noauthor_reproducing_nodate,
	title = {Reproducing repetition and {Shor} code simulations using stim},
}

@misc{noauthor_tutorial_nodate,
	title = {Tutorial - {Estimating} the {Surface} {Code} {Threshold} — {NordIQuEst} {Application} {Library}},
}

@misc{noauthor_simulating_nodate,
	title = {Simulating surface codes using stim},
}

@article{ryan-anderson_realization_2021,
	title = {Realization of {Real}-{Time} {Fault}-{Tolerant} {Quantum} {Error} {Correction}},
	volume = {11},
	doi = {10.1103/PhysRevX.11.041058},
	number = {4},
	journal = {Physical Review X},
	publisher = {American Physical Society},
	author = {Ryan-Anderson, C. and Bohnet, J. G. and Lee, K. and Gresh, D. and Hankin, A. and Gaebler, J. P. and Francois, D. and Chernoguzov, A. and Lucchetti, D. and Brown, N. C. and Gatterman, T. M. and Halit, S. K. and Gilmore, K. and Gerber, J. A. and Neyenhuis, B. and Hayes, D. and Stutz, R. P.},
	month = dec,
	year = {2021},
	pages = {041058},
}

@article{nigg_quantum_2014,
	title = {Quantum computations on a topologically encoded qubit},
	volume = {345},
	issn = {0036-8075, 1095-9203},
	doi = {10.1126/science.1253742},
	language = {en},
	number = {6194},
	journal = {Science},
	author = {Nigg, D. and Müller, M. and Martinez, E. A. and Schindler, P. and Hennrich, M. and Monz, T. and Martin-Delgado, M. A. and Blatt, R.},
	month = jul,
	year = {2014},
	pages = {302--305},
}

@misc{noauthor_tutorial_nodate-1,
	title = {Tutorial - {Fault}-{Tolerant} {Quantum} {Computing} with {CSS} codes},
}

@article{panteleev_degenerate_2021,
	title = {Degenerate {Quantum} {LDPC} {Codes} {With} {Good} {Finite} {Length} {Performance}},
	volume = {5},
	doi = {10.22331/q-2021-11-22-585},
	language = {en-GB},
	journal = {Quantum},
	publisher = {Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften},
	author = {Panteleev, Pavel and Kalachev, Gleb},
	month = nov,
	year = {2021},
	pages = {585},
}

@article{babar_fifteen_2015,
	title = {Fifteen {Years} of {Quantum} {LDPC} {Coding} and {Improved} {Decoding} {Strategies}},
	volume = {3},
	issn = {2169-3536},
	doi = {10.1109/ACCESS.2015.2503267},
	journal = {IEEE Access},
	author = {Babar, Zunaira and Botsinis, Panagiotis and Alanis, Dimitrios and Ng, Soon Xin and Hanzo, Lajos},
	year = {2015},
	pages = {2492--2519},
}

@misc{yao_belief_2024,
	title = {Belief {Propagation} {Decoding} of {Quantum} {LDPC} {Codes} with {Guided} {Decimation}},
	doi = {10.48550/arXiv.2312.10950},
	publisher = {arXiv},
	author = {Yao, Hanwen and Laban, Waleed Abu and Häger, Christian and Amat, Alexandre Graell i and Pfister, Henry D.},
	month = jun,
	year = {2024},
}

@article{sharon_efficient_2007,
	title = {Efficient {Serial} {Message}-{Passing} {Schedules} for {LDPC} {Decoding}},
	volume = {53},
	issn = {1557-9654},
	doi = {10.1109/TIT.2007.907507},
	number = {11},
	journal = {IEEE Transactions on Information Theory},
	author = {Sharon, Eran and Litsyn, Simon and Goldberger, Jacob},
	month = nov,
	year = {2007},
	pages = {4076--4091},
}

@article{shannon_mathematical_1948,
	title = {A mathematical theory of communication},
	volume = {27},
	issn = {0005-8580},
	doi = {10.1002/j.1538-7305.1948.tb01338.x},
	number = {3},
	journal = {The Bell System Technical Journal},
	author = {Shannon, C. E.},
	month = jul,
	year = {1948},
	pages = {379--423},
}

@book{ryan_channel_2009,
	title = {Channel {Codes}: {Classical} and {Modern}},
	isbn = {978-1-139-48301-8},
	shorttitle = {Channel {Codes}},
	language = {en},
	publisher = {Cambridge University Press},
	author = {Ryan, William and Lin, Shu},
	month = sep,
	year = {2009},
}

@book{macwilliams_theory_1977,
	title = {The {Theory} of {Error}-correcting {Codes}},
	isbn = {978-0-444-85010-2},
	language = {en},
	publisher = {Elsevier},
	author = {MacWilliams, Florence Jessie and Sloane, Neil James Alexander},
	year = {1977},
}

@book{richardson_modern_2008,
	address = {Cambridge},
	title = {Modern {Coding} {Theory}},
	isbn = {978-0-521-85229-6},
	doi = {10.1017/CBO9780511791338},
	publisher = {Cambridge University Press},
	author = {Richardson, Tom and Urbanke, Rüdiger},
	year = {2008},
}

@phdthesis{gallager_low_1960,
	type = {Thesis},
	title = {Low density parity check codes},
	copyright = {M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission.},
	language = {eng},
	school = {Massachusetts Institute of Technology},
	author = {Gallager, Robert G.},
	year = {1960},
}

@inproceedings{hassan_fully_2016,
	title = {Fully parallel window decoder architecture for spatially-coupled {LDPC} codes},
	issn = {1938-1883},
	doi = {10.1109/ICC.2016.7511553},
	booktitle = {2016 {IEEE} {International} {Conference} on {Communications} ({ICC})},
	author = {Hassan, Najeeb Ul and Schlüter, Martin and Fettweis, Gerhard P.},
	month = may,
	year = {2016},
	pages = {1--6},
}

@article{costello_spatially_2014,
	title = {Spatially coupled sparse codes on graphs: theory and practice},
	volume = {52},
	issn = {1558-1896},
	shorttitle = {Spatially coupled sparse codes on graphs},
	doi = {10.1109/MCOM.2014.6852099},
	number = {7},
	journal = {IEEE Communications Magazine},
	author = {Costello, Daniel J. and Dolecek, Lara and Fuja, Thomas E. and Kliewer, Jorg and Mitchell, David G.M. and Smarandache, Roxana},
	month = jul,
	year = {2014},
	pages = {168--176},
}

@article{hagenauer_iterative_2002,
	title = {Iterative decoding of binary block and convolutional codes},
	volume = {42},
	number = {2},
	journal = {IEEE Transactions on information theory},
	publisher = {IEEE},
	author = {Hagenauer, Joachim and Offer, Elke and Papke, Lutz},
	year = {2002},
	pages = {429--445},
}

@article{kang_quits_2025,
	title = {{QUITS}: {A} modular {Qldpc} code {circUIT} {Simulator}},
	volume = {9},
	issn = {2521-327X},
	shorttitle = {{QUITS}},
	doi = {10.22331/q-2025-12-05-1931},
	journal = {Quantum},
	author = {Kang, Mingyu and Lin, Yingjia and Yao, Hanwen and Gökduman, Mert and Meinking, Arianna and Brown, Kenneth R.},
	month = dec,
	year = {2025},
	pages = {1931},
}

@book{griffiths_consistent_2001,
	address = {Cambridge},
	title = {Consistent {Quantum} {Theory}},
	isbn = {978-0-521-53929-6},
	doi = {10.1017/CBO9780511606052},
	publisher = {Cambridge University Press},
	author = {Griffiths, Robert B.},
	year = {2001},
}

@misc{gottesman_fault-tolerant_2014,
	title = {Fault-{Tolerant} {Quantum} {Computation} with {Constant} {Overhead}},
	doi = {10.48550/arXiv.1310.2984},
	publisher = {arXiv},
	author = {Gottesman, Daniel},
	month = jul,
	year = {2014},
}

@misc{gidney_new_2023,
	title = {New circuits and an open source decoder for the color code},
	doi = {10.48550/arXiv.2312.08813},
	publisher = {arXiv},
	author = {Gidney, Craig and Jones, Cody},
	month = dec,
	year = {2023},
}

@article{gidney_fault-tolerant_2021,
	title = {A {Fault}-{Tolerant} {Honeycomb} {Memory}},
	volume = {5},
	issn = {2521-327X},
	doi = {10.22331/q-2021-12-20-605},
	journal = {Quantum},
	author = {Gidney, Craig and Newman, Michael and Fowler, Austin and Broughton, Michael},
	month = dec,
	year = {2021},
	pages = {605},
}

@article{chamberland_flag_2018,
	title = {Flag fault-tolerant error correction with arbitrary distance codes},
	volume = {2},
	issn = {2521-327X},
	doi = {10.22331/q-2018-02-08-53},
	journal = {Quantum},
	author = {Chamberland, Christopher and Beverland, Michael E.},
	month = feb,
	year = {2018},
	pages = {53},
}

@article{chen_exponential_2021,
	title = {Exponential suppression of bit or phase errors with cyclic error correction},
	volume = {595},
	copyright = {2021 The Author(s)},
	issn = {1476-4687},
	doi = {10.1038/s41586-021-03588-y},
	language = {en},
	number = {7867},
	journal = {Nature},
	publisher = {Nature Publishing Group},
	author = {Chen, Zijun and Satzinger, Kevin J. and Atalaya, Juan and Korotkov, Alexander N. and Dunsworth, Andrew and Sank, Daniel and Quintana, Chris and McEwen, Matt and Barends, Rami and Klimov, Paul V. and Hong, Sabrina and Jones, Cody and Petukhov, Andre and Kafri, Dvir and Demura, Sean and Burkett, Brian and Gidney, Craig and Fowler, Austin G. and Paler, Alexandru and Putterman, Harald and Aleiner, Igor and Arute, Frank and Arya, Kunal and Babbush, Ryan and Bardin, Joseph C. and Bengtsson, Andreas and Bourassa, Alexandre and Broughton, Michael and Buckley, Bob B. and Buell, David A. and Bushnell, Nicholas and Chiaro, Benjamin and Collins, Roberto and Courtney, William and Derk, Alan R. and Eppens, Daniel and Erickson, Catherine and Farhi, Edward and Foxen, Brooks and Giustina, Marissa and Greene, Ami and Gross, Jonathan A. and Harrigan, Matthew P. and Harrington, Sean D. and Hilton, Jeremy and Ho, Alan and Huang, Trent and Huggins, William J. and Ioffe, L. B. and Isakov, Sergei V. and Jeffrey, Evan and Jiang, Zhang and Kechedzhi, Kostyantyn and Kim, Seon and Kitaev, Alexei and Kostritsa, Fedor and Landhuis, David and Laptev, Pavel and Lucero, Erik and Martin, Orion and McClean, Jarrod R. and McCourt, Trevor and Mi, Xiao and Miao, Kevin C. and Mohseni, Masoud and Montazeri, Shirin and Mruczkiewicz, Wojciech and Mutus, Josh and Naaman, Ofer and Neeley, Matthew and Neill, Charles and Newman, Michael and Niu, Murphy Yuezhen and O’Brien, Thomas E. and Opremcak, Alex and Ostby, Eric and Pató, Bálint and Redd, Nicholas and Roushan, Pedram and Rubin, Nicholas C. and Shvarts, Vladimir and Strain, Doug and Szalay, Marco and Trevithick, Matthew D. and Villalonga, Benjamin and White, Theodore and Yao, Z. Jamie and Yeh, Ping and Yoo, Juhwan and Zalcman, Adam and Neven, Hartmut and Boixo, Sergio and Smelyanskiy, Vadim and Chen, Yu and Megrant, Anthony and Kelly, Julian and {Google Quantum AI}},
	month = jul,
	year = {2021},
	pages = {383--387},
}

@article{kelly_state_2015,
	title = {State preservation by repetitive error detection in a superconducting quantum circuit},
	volume = {519},
	issn = {0028-0836, 1476-4687},
	doi = {10.1038/nature14270},
	number = {7541},
	journal = {Nature},
	author = {Kelly, J. and Barends, R. and Fowler, A. G. and Megrant, A. and Jeffrey, E. and White, T. C. and Sank, D. and Mutus, J. Y. and Campbell, B. and Chen, Yu and Chen, Z. and Chiaro, B. and Dunsworth, A. and Hoi, I.-C. and Neill, C. and O'Malley, P. J. J. and Quintana, C. and Roushan, P. and Vainsencher, A. and Wenner, J. and Cleland, A. N. and Martinis, John M.},
	month = mar,
	year = {2015},
	pages = {66--69},
}

@misc{bombin_modular_2023,
	title = {Modular decoding: parallelizable real-time decoding for quantum computers},
	shorttitle = {Modular decoding},
	doi = {10.48550/arXiv.2303.04846},
	publisher = {arXiv},
	author = {Bomb{\'i}n, H{\'e}ctor and Dawson, Chris and Liu, Ye-Hua and Nickerson, Naomi and Pastawski, Fernando and Roberts, Sam},
	month = mar,
	year = {2023},
}

@misc{leverrier_decoding_2022,
	title = {Decoding quantum {Tanner} codes},
	doi = {10.48550/arXiv.2208.05537},
	publisher = {arXiv},
	author = {Leverrier, Anthony and Z{\'e}mor, Gilles},
	month = dec,
	year = {2022},
}
