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The Solovay-Kitaev algorithm is the standard method used for approximating arbitrary single-qubit gates for fault-tolerant quantum computation.
Multidimensional binary search trees used for associative searching
Jon Louis Bentley · 1975
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The R+-tree: A dynamic index for multi-dimensional objects
T.K. Sellis, N. Roussopoulos, and C. Faloutsos · 1987
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Near neighbor search in large metric spaces
S. Brin · 1995
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Elementary gates for quantum computation
A. Barenco, C. H. Bennett, R. Cleve, D. P. DiVincenzo, N. Margolus, P. Shor, T. Sleator, J. A. Smolin, and H. Weinfurter · 1995
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Fault-tolerant error correction with efficient quantum codes
D. P. DiVincenzo and P. W. Shor · 1996
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Elementary gates for quantum computation
A. Yu. Kitaev · 1997
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Fault-tolerant quantum computation
J. Preskill · 1998
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Reliable quantum computers
J. Preskill · 1998
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Classical and quantum computation, 1st edition
A. Yu. Kitaev, A. Shen, and M.N Vyalyi · 2002
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Efficient discrete approximations of quantum gates
A. W. Harrow, B. Recht, and I.L. Chuang · 2002
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The Solovay-Kitaev algorithm
C. M. Dawson and M. A. Nielsen · 2006
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Fault-tolerant quantum computation with high threshold in two dimensions
R. Raussendorf and J. Harrington · 2007
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Private communication
D.-S. Wang, M. C. de Olivereira, D. W. Berry, and B. C. Sanders
Groups and Symmetries: From Finite Groups to Lie Groups
Y. Kosmann-Schwarzbach · 2010
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Scheme for reducing decoherence in quantum computer memory
P. W. Shor · 2011
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Quantum error correction for beginners
S. J. Devitt, Kae Nemoto, and W. J. Munro · 2011
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Constructing arbitrary Steane code single logical qubit fault-tolerant gates
A. G. Fowler · 2011
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A depth-optimal canonical form for single-qubit quantum circuits
A. Bocharov and K. M. Svore · 2012
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Fast and efficient exact synthesis of single qubit unitaries generated by clifford and t gates
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M. Mosca V. Kliuchnikov, D. Maslov · 2012
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