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- W2512564998 abstract "The Clifford hierarchy is a set of gates that appears in the theory of fault-tolerant quantum computation, but its precise structure remains elusive. We give a complete characterization of the diagonal gates in the Clifford hierarchy for prime-dimensional qudits. They turn out to be ${p}^{m}mathrm{th}$ roots of unity raised to polynomial functions of the basis state to which they are applied, and we determine which level of the Clifford hierarchy a given gate sits in based on $m$ and the degree of the polynomial." @default.
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- W2512564998 date "2017-01-26" @default.
- W2512564998 modified "2023-10-13" @default.
- W2512564998 title "Diagonal gates in the Clifford hierarchy" @default.
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- W2512564998 doi "https://doi.org/10.1103/physreva.95.012329" @default.
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