Fast and efficient exact synthesis of single qubit unitaries generated by Clifford and T gates

22 Jun 2012Vadym KliuchnikovDmitri MaslovMichele Mosca

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. We report an efficient synthesis algorithm, with an exact optimality guarantee on the number of Hadamard and T gates used... (read more)

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