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We present an infinite family of protocols to distill magic states for $T$-gates that has a low space overhead and uses an asymptotic number of input magic states to achieve a given target error that is conjectured to be optimal.
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2013
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B. Eastin, “Distilling one-qubit magic states into toffoli states,” Phys. Rev. A 87
2013
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2014
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2009
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2012
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S. Bravyi and J. Haah, “Magic state distillation with low overhead,” Phys. Rev. A 86
2012
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2012
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2012
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2013
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2014
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2015
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2016
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C. Jones, P. Brooks, and J. Harrington, “Gauge color codes in two dimensions,” Phys. Rev. A 93
2016
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H. Bombin, “Dimensional jump in quantum error correction,” New Journal of Physics 18
2016
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2016
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2016
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