Solovay-Kitaev decomposition strategy for single-qubit channels
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Updated: May 7, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
Dong-Sheng Wang1, Dominic W Berry, Marcos C de Oliveira
1Institute for Quantum Science and Technology, University of Calgary, Alberta T2N 1N4, Canada.
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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