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Here we study an efficient algorithm for decoding the topological codes.
Dennis, E.; Kitaev, A.; Landahl, A.; Preskill, J. Topological quantum memory. J. Math. Phys. 2002
2002
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Kitaev, A. Fault-tolerant quantum computation by anyons. Annals Phys. 2003
2003
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Dennis, E. Purifying Quantum States: Quantum and Classical Algorithms . arXiv:quant-ph/0503169 2005
2005
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Duclos-Cianci, G.; Poulin, D. Fast Decoders for Topological Quantum Codes. Phys. Rev. Lett. 2010
2010
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Wootton, J. R. Quantum memories and error correction. J. Mod. Opt. 2012
2012
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Bravyi, S.; Haah, J. Quantum Self-Correction in the 3D Cubic Code Model. Phys. Rev. Lett. 2013
2013
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2013
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Novais E.; Mucciolo, E. R. Surface Code Threshold in the Presence of Correlated Errors. Phys. Rev. Lett. 2013
2013
Cited alongside, same era.
Kovalev, A. A.; Pryadko, L. P. Fault tolerance of quantum low-density parity check codes with sublinear distance scaling. Phys. Rev. A 2013
2013
Cited alongside, same era.
Fowler, A. G. Accurate simulations of planar topological codes cannot use cyclic boundaries. Phys. Rev. A 2013
2013
Cited alongside, same era.
Bravyi, S.; Vargo, A. Simulation of rare events in quantum error correction. Phys. Rev. A 2013
2013
Cited alongside, same era.
Landahl, A. Private communication. 2013
2013
Cited alongside, same era.
Wootton, J. R.; Burri, J.; Iblisdir, S.; Loss, D. Error Correction for Non-Abelian Topological Quantum Computation. Phys. Rev. X 2014
Anwar, H.; et al. Fast decoders for qudit topological codes. New J. of Phys. 2014
2014
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2014
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Hutter, A; Wootton J. R.; and Loss, D. Efficient Markov chain Monte Carlo algorithm for the surface code. Phys. Rev. A 2014
2014
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Bravyi, S.; Suchara, M.; Vargo, A. Efficient algorithms for maximum likelihood decoding in the surface code. Phys. Rev. A 2014
2014
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Hutter, A.; Loss, D. Breakdown of surface-code error correction due to coupling to a bosonic bath. Phys. Rev. A 2014
2014
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2014
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Fowler, A. G.; Martinis, J. M. Quantifying the effects of local many-qubit errors and nonlocal two-qubit errors on the surface code. Phys. Rev. A 2014
2014
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