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- W2338346586 abstract "Constructing an efficient universal subset of quantum gates can be done by finding an efficient universal subset of $G=PSU(2)$ (or $SU(2)$). Following [Letter], we define the efficiency $K$ of a universal subset of $G$. We focus on two different universal subsets $S$ and $T$, and estimate their efficiencies. We show that the efficiency of the first set is bounded by $frac{4}{3}leqslant K(S)leqslant 2$. Also, based on a conjecture about covering radius on $3$-sphere, we show the efficiency of the second set is $K(T)=frac{4}{3}$, based on a question of Sarnak." @default.
- W2338346586 created "2016-06-24" @default.
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- W2338346586 date "2015-06-18" @default.
- W2338346586 modified "2023-09-26" @default.
- W2338346586 title "On a Problem of Sarnak Related to Constructing Efficient Universal Sets of Quantum Gates" @default.
- W2338346586 hasPublicationYear "2015" @default.
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