Solovay-kitaev decomposition strategy for single-qubit channels

Dong Sheng Wang*, Dominic W. Berry, Marcos C. De Oliveira, Barry C. Sanders

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

34 Citations (Scopus)
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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.

Original languageEnglish
Article number130504
Pages (from-to)1-5
Number of pages5
JournalPhysical Review Letters
Issue number13
Publication statusPublished - 25 Sep 2013

Bibliographical note

Wang, D. S., de Oliveira, M. C., Berry, D. W., & Sanders, B. C. (2013). Solovay-Kitaev Decomposition Strategy for Single-Qubit Channels. Physical review letters, 111(13), 130504, 2013. Copyright 2013 by the American Physical Society. The original article can be found at


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