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arXiv · 1305.2783

Solovay-Kitaev Decomposition Strategy for Single-Qubit Channels

Dong-Sheng Wang·Dominic W. Berry·Marcos C. de Oliveira·Barry C. Sanders
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Abstract

Inspired by the Solovay-Kitaev decomposition for approximating unitary operations as a sequence of operations selected from a universal quantum computing gate set, we introduce a method for approximating any single-qubit channel using single-qubit gates and the controlled-NOT (CNOT). Our approach uses the decomposition of the single-qubit channel into a convex combination of "quasiextreme" channels. Previous techniques for simulating general single-qubit channels would require as many as 20 CNOT gates, whereas ours only needs one, bringing it within the range of current experiments.

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Dong-Sheng Wang, Dominic W. Berry, Marcos C. de Oliveira, Barry C. Sanders. 2013-05-13. Solovay-Kitaev Decomposition Strategy for Single-Qubit Channels. https://doi.org/10.1103/physrevlett.111.130504

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