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Recently we proposed a family of magic state distillation protocols that obtains asymptotic performance that is conjectured to be optimal.
Alan J Hoffman and Robert R Singleton, “On moore graphs with diameters 2 and 3,” IBM Journal of Research and Development 4
1960
Earlier work this paper cites.
Daniel Gottesman, “A class of quantum error-correcting codes saturating the quantum hamming bound,” Phys. Rev. A 54
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Earlier work this paper cites.
A. R. Calderbank, E. M Rains, P. W. Shor, and N. J. A. Sloane, “Quantum error correction and orthogonal geometry,” Phys. Rev. Lett. 78
1997
Earlier work this paper cites.
Markus Grassl and Thomas Beth, “Quantum bch codes,” in Proceedings X. International Symposium on Theoretical Electrical Engineering, Magdeburg (1999) pp. 207–212, quant-ph/9910060
1999
Cited alongside, same era.
Leif K Jørgensen, “Girth 5 graphs from relative difference sets,” Discrete mathematics 293
2005
Cited alongside, same era.
Sergey Bravyi and Jeongwan Haah, “Magic state distillation with low overhead,” Phys. Rev. A 86
2012
Cited alongside, same era.
J. Haah, M. B. Hastings, D. Poulin, and D. Wecker, “Magic state distillation with low space overhead and optimal asymptotic input count,”
Cited in the paper.
E. Knill, “Fault-tolerant postselected quantum computation: Schemes,” (2004a), quant-ph/0402171v1
Cited in the paper.
E. Knill, “Fault-tolerant postselected quantum computation: Threshold analysis,” (2004b), quant-ph/0404104v1
Cited in the paper.
Sergei Bravyi and Alexei Kitaev, “Universal quantum computation with ideal Clifford gates and noisy ancillas,” Phys. Rev. A 71
Cited in the paper.
Adjacency matrices for the graphs online at http://people.math.aau.dk/~leif/research/girth5/
Cited in the paper.
Sergei Bravyi and Alexei Kitaev, “Universal quantum computation with ideal Clifford gates and noisy ancillas,” Phys. Rev. A 71
Cited in the paper.
2013
Later among the works it cites.
Cody Jones, “Multilevel distillation of magic states for quantum computing,” Phys. Rev. A 87
2013
Later among the works it cites.
Torsten Karzig, Christina Knapp, Roman M Lutchyn, Parsa Bonderson, Matthew B Hastings, Chetan Nayak, Jason Alicea, Karsten Flensberg, Stephan Plugge, Yuval Oreg, et al. , “Scalable designs for quasiparticle-poisoning-protected topological quantum computation with majorana zero modes,” Physical Review B 95
2017
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