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The quantum computing devices of today have tens to hundreds of qubits that are highly susceptible to noise due to unwanted interactions with their environment.
Wootters, W.K., Zurek, W.H.: A single quantum cannot be cloned. Nature 299
1982
Earlier work this paper cites.
Shor, P.W.: Scheme for reducing decoherence in quantum computer memory. Phys. Rev. A 52
1995
Earlier work this paper cites.
Calderbank, A.R., Shor, P.W.: Good quantum error-correcting codes exist. Phys. Rev. A 54
1996
Earlier work this paper cites.
Steane, A.M.: Error correcting codes in quantum theory. Phys. Rev. Lett. 77
1996
Earlier work this paper cites.
Schumacher, B., Nielsen, M.A.: Quantum data processing and error correction. Phys. Rev. A 54
1996
Earlier work this paper cites.
Laflamme, R., Miquel, C., Paz, J.P., Zurek, W.H.: Perfect quantum error correcting code. Phys. Rev. Lett. 77
1996
Earlier work this paper cites.
Knill, E., Laflamme, R.: Theory of quantum error-correcting codes. Phys. Rev. A 55
1997
Earlier work this paper cites.
Gottesman, D.: Stabilizer Codes and Quantum Error Correction. California Institute of Technology, USA (1997)
1997
Earlier work this paper cites.
Leung, D.W., Nielsen, M.A., Chuang, I.L., Yamamoto, Y.: Approximate quantum error correction can lead to better codes. Physical Review A 56
1997
Earlier work this paper cites.
Preskill, J.: Fault-tolerant quantum computation. In: Introduction to Quantum Computation and Information, pp. 213–269. World Scientific, ??? (1998)
1998
Earlier work this paper cites.
Cochrane, P.T., Milburn, G.J., Munro, W.J.: Macroscopically distinct quantum-superposition states as a bosonic code for amplitude damping. Phys. Rev. A 59
1999
Earlier work this paper cites.
Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, USA (2000)
2000
Earlier work this paper cites.
Khaneja, N., Glaser, S.J.: Cartan decomposition of su (2n) and control of spin systems. Chemical Physics 267
2001
Earlier work this paper cites.
Barnum, H., Knill, E.: Reversing quantum dynamics with near-optimal quantum and classical fidelity. Journal of Mathematical Physics 43
2002
Earlier work this paper cites.
Schumacher, B., Westmoreland, M.D.: Approximate quantum error correction. Quantum Information Processing 1
2002
Earlier work this paper cites.
Dennis, E., Kitaev, A., Landahl, A., Preskill, J.: Topological quantum memory. Journal of Mathematical Physics 43
2002
Earlier work this paper cites.
Petz, D.: Monotonicity of quantum relative entropy revisited. Reviews in Mathematical Physics 15
2003
Earlier work this paper cites.
Bose, S.: Quantum communication through an unmodulated spin chain. Phys. Rev. Lett. 91
2003
Earlier work this paper cites.
Ohya, M., Petz, D.: Quantum Entropy and Its Use. Springer, Berlin Heidelberg (2004)
2004
Earlier work this paper cites.
Osborne, T.J., Linden, N.: Propagation of quantum information through a spin system. Physical Review A 69
2004
Earlier work this paper cites.
Knill, E.: Quantum computing with realistically noisy devices. Nature 434
2005
Earlier work this paper cites.
Kribs, D., Laflamme, R., Poulin, D.: Unified and generalized approach to quantum error correction. Physical review letters 94
2005
Earlier work this paper cites.
Yamamoto, N., Hara, S., Tsumura, K.: Suboptimal quantum-error-correcting procedure based on semidefinite programming. Phys. Rev. A 71
2005
Earlier work this paper cites.
Earp, H.N.S., Pachos, J.K.: A constructive algorithm for the cartan decomposition of su(2n). Journal of Mathematical Physics 46
2005
Earlier work this paper cites.
Burgarth, D., Bose, S.: Conclusive and arbitrarily perfect quantum-state transfer using parallel spin-chain channels. Physical Review A 71
2005
Earlier work this paper cites.
Aliferis, P., Gottesman, D., Preskill, J.: Quantum accuracy threshold for concatenated distance-3 codes. Quantum Information & Computation 6
2006
Earlier work this paper cites.
Raussendorf, R., Harrington, J.: Fault-tolerant quantum computation with high threshold in two dimensions. Physical review letters 98
2007
Earlier work this paper cites.
Fletcher, A.S., Shor, P.W., Win, M.Z.: Optimum quantum error recovery using semidefinite programming. Physical Review A 75
2007
Earlier work this paper cites.
Fletcher, A.S.: Channel-adapted quantum error correction. arXiv preprint arXiv:0706.3400 (2007)
2007
Earlier work this paper cites.
2007
Earlier work this paper cites.
Baskaran, G., Mandal, S., Shankar, R.: Exact results for spin dynamics and fractionalization in the kitaev model. Physical review letters 98
2007
Earlier work this paper cites.
Bose, S.: Quantum communication through spin chain dynamics: an introductory overview. Contemporary Physics 48
2007
Earlier work this paper cites.
Fletcher, A.S., Shor, P.W., Win, M.Z.: Channel-adapted quantum error correction for the amplitude damping channel. IEEE Transactions on Information Theory 54
2008
Earlier work this paper cites.
Aliferis, P., Preskill, J.: Fault-tolerant quantum computation against biased noise. Phys. Rev. A 78
2008
Cited alongside, same era.
Kosut, R.L., Lidar, D.A.: Quantum error correction via convex optimization. Quantum Information Processing 8
2009
Cited alongside, same era.
Allcock, J., Linden, N.: Quantum communication beyond the localization length in disordered spin chains. Physical review letters 102
2009
Cited alongside, same era.
Cross, A.W., Divincenzo, D.P., Terhal, B.M.: A comparative code study for quantum fault tolerance. Quantum Information & Computation 9
2009
Cited alongside, same era.
Eastin, B., Knill, E.: Restrictions on transversal encoded quantum gate sets. Physical review letters 102
2009
Cited alongside, same era.
Junge, M., Renner, R., Sutter, D., Wilde, M.M., Winter, A.: Universal recovery maps and approximate sufficiency of quantum relative entropy. In: Annales Henri Poincaré, vol. 19, pp. 2955–2978 (2018). Springer
2018
Later among the works it cites.
Pokharel, B., Anand, N., Fortman, B., Lidar, D.A.: Demonstration of fidelity improvement using dynamical decoupling with superconducting qubits. Physical review letters 121
2018
Later among the works it cites.
Ghosh, D., Agarwal, P., Pandey, P., Behera, B.K., Panigrahi, P.K.: Automated error correction in ibm quantum computer and explicit generalization. Quantum Information Processing 17
2018
Later among the works it cites.
Wootton, J.R., Loss, D.: Repetition code of 15 qubits. Physical Review A 97
2018
Later among the works it cites.
Dumitrescu, E.F., McCaskey, A.J., Hagen, G., Jansen, G.R., Morris, T.D., Papenbrock, T., Pooser, R.C., Dean, D.J., Lougovski, P.: Cloud quantum computing of an atomic nucleus. Physical review letters 120
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Ng, H.K., Mandayam, P.: Simple approach to approximate quantum error correction based on the transpose channel. Physical Review A 81
2010
Cited alongside, same era.
Bény, C., Oreshkov, O.: General conditions for approximate quantum error correction and near-optimal recovery channels. Physical review letters 104
2010
Cited alongside, same era.
Tyson, J.: Two-sided bounds on minimum-error quantum measurement, on the reversibility of quantum dynamics, and on maximum overlap using directional iterates. Journal of mathematical physics 51
2010
Cited alongside, same era.
Bény, C., Oreshkov, O.: General conditions for approximate quantum error correction and near-optimal recovery channels. Phys. Rev. Lett. 104
2010
Cited alongside, same era.
Shor, P.W., Smith, G., Smolin, J.A., Zeng, B.: High performance single-error-correcting quantum codes for amplitude damping. IEEE Transactions on Information Theory 57
2011
Cited alongside, same era.
Mandayam, P., Ng, H.K.: Towards a unified framework for approximate quantum error correction. Physical Review A 86
2012
Cited alongside, same era.
Lidar, D.A., Brun, T.A.: Quantum Error Correction. Cambridge university press, USA (2013)
2013
Cited alongside, same era.
2018
Later among the works it cites.
Arute, F., Arya, K., Babbush, R., Bacon, D., Bardin, J.C., Barends, R., Biswas, R., Boixo, S., Brandao, F.G., Buell, D.A., et al
2019
Later among the works it cites.
Nautrup, H.P., Delfosse, N., Dunjko, V., Briegel, H.J., Friis, N.: Optimizing quantum error correction codes with reinforcement learning. Quantum 3
2019
Later among the works it cites.
Brandao, F.G.S.L., Crosson, E., Sahinoglu, M.B., Bowen, J.: Quantum error correcting codes in eigenstates of translation-invariant spin chains. Phys. Rev. Lett. 123
2019
Later among the works it cites.
Bohdanowicz, T.C., Crosson, E., Nirkhe, C., Yuen, H.: Good approximate quantum ldpc codes from spacetime circuit hamiltonians. In: Proceedings of the 51st Annual ACM SIGACT Symposium on Theory of Computing. STOC 2019, pp. 481–490. Association for Computing Machinery, New York, NY, USA (2019). https://doi.org/10.1145/3313276.3316384 . https://doi.org/10.1145/3313276.3316384
2019
Later among the works it cites.
Cotler, J., Hayden, P., Penington, G., Salton, G., Swingle, B., Walter, M.: Entanglement wedge reconstruction via universal recovery channels. Physical Review X 9
2019
Later among the works it cites.
Jayashankar, A., Babu, A.M., Ng, H.K., Mandayam, P.: Finding good quantum codes using the cartan form. Phys. Rev. A 101
2020
Later among the works it cites.
Bausch, J., Leditzky, F.: Quantum codes from neural networks. New Journal of Physics 22
2020
Later among the works it cites.
Chen, C.-F., Penington, G., Salton, G.: Entanglement wedge reconstruction using the petz map. Journal of High Energy Physics 2020
2020
Later among the works it cites.
Jia, H.F., Rangamani, M.: Petz reconstruction in random tensor networks. Journal of High Energy Physics 2020
2020
Later among the works it cites.
Wang, D.-S., Zhu, G., Okay, C., Laflamme, R.: Quasi-exact quantum computation. Phys. Rev. Research 2
2020
Later among the works it cites.
Puri, S., St-Jean, L., Gross, J.A., Grimm, A., Frattini, N.E., Iyer, P.S., Krishna, A., Touzard, S., Jiang, L., Blais, A., et al
2020
Later among the works it cites.
Zhong, H.-S., Deng, Y.-H., Qin, J., Wang, H., Chen, M.-C., Peng, L.-C., Luo, Y.-H., Wu, D., Gong, S.-Q., Su, H., et al
2021
Later among the works it cites.
Jurcevic, P., Javadi-Abhari, A., Bishop, L.S., Lauer, I., Bogorin, D.F., Brink, M., Capelluto, L., Günlük, O., Itoko, T., Kanazawa, N., et al
2021
Later among the works it cites.
2021
Later among the works it cites.
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2022
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Jayashankar, A., Long, M.D.H., Ng, H.K., Mandayam, P.: Achieving fault tolerance against amplitude-damping noise. Phys. Rev. Research 4
2022
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2022
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Lautenbacher, L., de Melo, F., Bernardes, N.K.: Approximating invertible maps by recovery channels: Optimality and an application to non-markovian dynamics. Phys. Rev. A 105
2022
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2022
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Gilyén, A., Lloyd, S., Marvian, I., Quek, Y., Wilde, M.M.: Quantum algorithm for petz recovery channels and pretty good measurements. Physical Review Letters 128
2022
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Faulkner, T., Hollands, S., Swingle, B., Wang, Y.: Approximate recovery and relative entropy i: General von neumann subalgebras. Communications in Mathematical Physics, 1–49 (2022)
2022
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