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Topological error correction codes are promising candidates to protect quantum computations from the deteriorating effects of noise.
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J. Preskill, Fault-tolerant quantum computation , in: Introduction to Quantum Computation and Information , eds. H.-K. Lo, T. Spiller, and S. Popescu (World-Scientific, Singapore, 1998) [ arXiv:quant-ph/9712048 ]
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S. B. Bravyi and A. Y. Kitaev, Quantum codes on a lattice with boundary , e-print arXiv:quant-ph/9811052 (1998)
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M. A. Nielsen and I. L. Chuang, Quantum Computation and Quantum Information (Cambridge University Press, Cambridge, U.K., 2000)
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R. Raussendorf and H. J. Briegel, A One-Way Quantum Computer , Phys. Rev. Lett. 86
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P. Zanardi, D. Lidar, and S. Lloyd, Quantum tensor product structures are observable-induced , Phys. Rev. Lett. 92
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S. Bravyi and A. Kitaev, Universal quantum computation with ideal Clifford gates and noisy ancillas , Phys. Rev. A 71
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H. Bomb ı ´ \acute{\char 16\relax} n and M. A. Mart ı ´ \acute{\char 16\relax} n-Delgado, Topological Quantum Distillation , Phys. Rev. Lett. 97
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D. Bacon, Operator quantum error-correcting subsystems for self-correcting quantum memories , Phys. Rev. A 73
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H. Bomb ı ´ \acute{\char 16\relax} n and M. A. Mart ı ´ \acute{\char 16\relax} n-Delgado, Exact Topological Quantum Order in D = 3 D=3 and Beyond: Branyons and Brane-Net Condensates , Phys. Rev. B 75
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B. Eastin and E. Knill, Restrictions on Transversal Encoded Quantum Gate Sets , Phys. Rev. Lett. 102
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H. Bomb ı ´ \acute{\char 16\relax} n, Topological subsystem codes , Phys. Rev. A 81
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2012
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2015
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A. Kubica, B. Yoshida, and F. Pastawski, Unfolding the color code , New J. Phys. 17
2015
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2015
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2015
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S. Bravyi and A. Cross, Doubled Color Codes , e-print arXiv:1509.03239 [quant-ph] (2015)
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H. Bomb ı ´ \acute{\char 16\relax} n, Dimensional jump in quantum error correction , New J. Phys. 18
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