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Conventional quantum error correcting codes require multiple rounds of measurements to detect errors with enough confidence in fault-tolerant scenarios.
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Alternatively this effort can be transferred to the preparation of highly entangled states Steane 1997 ; Knill 2005
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H. Bombin, “Topological codes,” in Quantum Error Correction , edited by D.A. Lidar and T.A. Brun (Cambridge University Press, New York, 2013)
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Robert Alicki, Michal Horodecki, Pawel Horodecki, and Ryszard Horodecki, “On thermal stability of topological qubit in kitaev’s 4d model,” Open Systems & Information Dynamics 17
2010
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G. Duclos-Cianci and D. Poulin, “Fast Decoders for Topological Quantum Codes,” Phys. Rev. Lett. 104
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2012
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H. Bombin, R.S. Andrist, M. Ohzeki, H.G. Katzgraber, and M.A. Martin-Delgado, “Strong resilience of topological codes to depolarization,” Physical Review X 2
2012
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Clare Horsman, Austin G Fowler, Simon Devitt, and Rodney Van Meter, “Surface code quantum computing by lattice surgery,” New Journal of Physics 14
2012
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D.A. Lidar and T.A. Brun (editors), Quantum Error Correction (Cambridge University Press, New York, 2013)
2013
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H. Bombin, “Gauge color codes,” arXiv:1311.0879 (2013a)
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2013
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2014
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Fernando Pastawski and Beni Yoshida, “Fault-tolerant logical gates in quantum error-correcting codes,” Physical Review A 91
2015
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J. Kelly et al. , “State preservation by repetitive error detection in a superconducting quantum circuit,” Nature 519
2015
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A. Kubica and M.E. Beverland, “Universal transversal gates with color codes: A simplified approach,” Physical Review A 91
2015
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