Solovay-kitaev decomposition strategy for single-qubit channels

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

Research output: Contribution to journalArticleResearchpeer-review

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.

LanguageEnglish
Article number130504
Pages1-5
Number of pages5
JournalPhysical Review Letters
Volume111
Issue number13
DOIs
Publication statusPublished - 25 Sep 2013

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decomposition
quantum computation

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 http://dx.doi.org/10.1103/PhysRevLett.111.130504

Cite this

Wang, Dong Sheng ; Berry, Dominic W. ; De Oliveira, Marcos C. ; Sanders, Barry C. / Solovay-kitaev decomposition strategy for single-qubit channels. In: Physical Review Letters. 2013 ; Vol. 111, No. 13. pp. 1-5.
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Solovay-kitaev decomposition strategy for single-qubit channels. / Wang, Dong Sheng; Berry, Dominic W.; De Oliveira, Marcos C.; Sanders, Barry C.

In: Physical Review Letters, Vol. 111, No. 13, 130504, 25.09.2013, p. 1-5.

Research output: Contribution to journalArticleResearchpeer-review

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