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In this paper, we show the equivalence of the set of unitaries computable by the circuits over the Clifford and T library and the set of unitaries over the ring $\mathbb{Z}[\frac{1}{\sqrt{2}},i]$, in the single-qubit case.
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H. K. Cummins, G. Llewellyn, and J. A. Jones. Tackling Systematic Errors in Quantum Logic Gates with Composite Rotations . Physical Review A 67, 042308, 2003, quant-ph/0208092
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A. G. Fowler. Towards Large-Scale Quantum Computation
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C. Dawson, and M. Nielsen. The Solovay-Kitaev algorithm . Quantum Information and Computation 6
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2008
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J. Watrous. Semidefinite programs for completely bounded norms . 2009, arXiv:0901.4709
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M. Nakata. A numerical evaluation of highly accurate multiple-precision arithmetic version of semidefinite programming solver:SDPA-GMP, -QD and -DD . the proceedings of 2010 IEEE Multi-Conference on Systems and Control, 29-34, 2010
2010
Later among the works it cites.
A. G. Fowler. Constructing Arbitrary Steane Code Single Logical Qubit Fault-tolerant Gates . Quantum Information and Computation 11
2011
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2012
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2013
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