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arXiv · 1610.00547

Criteria for universality of quantum gates

Adam Sawicki·Katarzyna Karnas
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Abstract

We consider the problem of deciding if a set of quantum one-qudit gates $\mathcal{S}=\{U_1,\ldots,U_n\}$ is universal. We provide the compact form criteria leading to a simple algorithm that allows deciding universality of any given set of gates in a finite number of steps. Moreover, for a non-universal $\mathcal{S}$ our criteria indicate what type of gates can be added to $\mathcal{S}$ to turn it into a universal set.

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Adam Sawicki, Katarzyna Karnas. 2017-05-17. Criteria for universality of quantum gates. https://doi.org/10.1103/physreva.95.062303

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