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Tensor-network codes enable the construction of large stabilizer codes out of tensors describing smaller stabilizer codes.
Stabilizer codes and quantum error correction
D. Gottesman · 1997
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Resource-efficient linear optical quantum computation
D.E. Browne and T. Rudolph · 2005
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An Introduction to Quantum Error Correction and Fault-Tolerant Quantum Computation
D. Gottesman · 2009
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Generalized concatenated quantum codes
M. Grassl, P. Shor, G. Smith, J. Smolin, and B. Zeng · 2009
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Quantum Computation and Quantum Information
M. A. Nielsen and I. L. Chuang · 2010
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NP-hardness of decoding quantum error-correction codes
M.-H. Hsieh and F. Le Gall · 2011
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Stabilizer formalism for generalized concatenated quantum codes
Y. Wang, B. Zeng, M. Grassl, and B. C. Sanders · 2013
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Tensor networks and quantum error correction
A. J. Ferris and D. Poulin · 2014
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Efficient algorithms for maximum likelihood decoding in the surface code
S. Bravyi, M. Suchara, and A. Vargo · 2014
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Branching MERA codes: A natural extension of classical and quantum polar codes
A. J. Ferris and D. Poulin · 2014
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Holographic quantum error-correcting codes: toy models for the bulk/boundary correspondence
F. Pastawski, B. Yoshida, D. Harlow, and J. Preskill · 2015
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J. I. Latorre and G. Sierra · 2015
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Hardness of decoding quantum stabilizer codes
P. Iyer and D. Poulin · 2015
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Holographic duality from random tensor networks
P. Hayden, S. Nezami, X.-L. Qi, N. Thomas, M. Walter, and Z. Yang · 2016
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Hand-waving and interpretive dance: an introductory course on tensor networks
J. C. Bridgeman and C. T. Chubb · 2017
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Tensor-network simulations of the surface code under realistic noise
A. S. Darmawan and D. Poulin · 2017
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Hyperinvariant tensor networks and holography
G. Evenbly · 2017
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Linear-time general decoding algorithm for the surface code
A. S. Darmawan and D. Poulin · 2018
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Ultrahigh error threshold for surface codes with biased noise
D. K. Tuckett, S. D. Bartlett, and S. T. Flammia · 2018
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Optimizing quantum error correction codes with reinforcement learning
H. P. Nautrup, N. Delfosse, V. Dunjko, H. J. Briegel, and N. Friis · 2019
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Dynamics for holographic codes
T. J. Osborne and D. E. Stiegemann · 2020
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Quantum error-correction codes and absolutely maximally entangled states
P. Mazurek, M. Farkas, A. Grudka, M. Horodecki, and M. Studziński · 2020
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Parallel decoding of multiple logical qubits in tensor-network codes
T. Farrelly, R.J. Harris, N.A. McMahon, and T.M. Stace · 2020
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M. Fishman, S.R. White, and E.M. Stoudenmire · 2020
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