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Stabilizer codes are the most widely studied class of quantum error-correcting codes and form the basis of most proposals for a fault-tolerant quantum computer.
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2015
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S. Bravyi and A. Cross, Doubled color codes (2015), arXiv:1509.03239
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M. B. Hastings, Weight Reduction for Quantum Codes (2016), arxiv:1611.03790
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S. Krinner, N. Lacroix, A. Remm, A. Di Paolo, E. Genois, C. Leroux, C. Hellings, S. Lazar, F. Swiadek, J. Herrmann, G. J. Norris, C. K. Andersen, M. Müller, A. Blais, C. Eichler, and A. Wallraff, Realizing repeated quantum error correction in a distance-three surface code, Nature 605
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I. H. Kim, Y.-H. Liu, S. Pallister, W. Pol, S. Roberts, and E. Lee, Fault-tolerant resource estimate for quantum chemical simulations: Case study on Li-ion battery electrolyte molecules, Phys. Rev. Research 4
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P. Panteleev and G. Kalachev, Asymptotically good quantum and locally testable classical LDPC codes, in Proceedings of the 54th Annual ACM SIGACT Symposium on Theory of Computing (2022) pp. 375–388
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N. Raveendran, N. Rengaswamy, F. Rozpędek, A. Raina, L. Jiang, and B. Vasić, Finite Rate QLDPC-GKP Coding Scheme that Surpasses the CSS Hamming Bound, Quantum 6
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K. Noh, C. Chamberland, and F. G. Brandão, Low-overhead fault-tolerant quantum error correction with the surface-gkp code, PRX Quantum 3
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A. Kubica and M. Vasmer, Single-shot quantum error correction with the three-dimensional subsystem toric code, Nature Communications 13
2022
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L. Z. Cohen, I. H. Kim, S. D. Bartlett, and B. J. Brown, Low-overhead fault-tolerant quantum computing using long-range connectivity, Sci. Adv. 8
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2022
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2022
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S. Evra, T. Kaufman, and G. Zémor, Decodable quantum LDPC codes beyond the n distance barrier using high-dimensional expanders, SIAM Journal on Computing , FOCS20 (2022)
2022
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2022
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2023
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2023
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2023
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2023
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2023
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J. Roffe, L. Z. Cohen, A. O. Quintavalle, D. Chandra, and E. T. Campbell, Bias-tailored quantum LDPC codes, Quantum 7
2023
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J. Cramwinckel, E. Roijackers, R. Baart, E. Minkes, L. Ruscio, R. L. Miller, T. Boothby, C. Tjhai, D. Joyner, and J. Fields, Guava (2023), https://gap-packages.github.io/guava/
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J. Zhang, Y.-C. Wu, and G.-P. Guo, Concatenation of the gottesman-kitaev-preskill code with the xzzx surface code, Phys. Rev. A 107
2023
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A. O. Quintavalle, P. Webster, and M. Vasmer, Partitioning qubits in hypergraph product codes to implement logical gates, Quantum 7
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Xanadu (2024), in preparation
2024
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