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- W4289805216 abstract "Fourier states are multi-qubit registers that facilitate phase rotations in fault-tolerant quantum computing. We propose distillation protocols for constructing the fundamental, $n$-qubit Fourier state with error $O(2^{-n})$ at a cost of $O(n log n)$ Toffoli gates and Clifford gates, or any arbitrary Fourier state using $O(n^2)$ gates. We analyze these protocols with methods from digital signal processing. These results suggest that phase kickback, which uses Fourier states, could be the current lowest-overhead method for generating arbitrary phase rotations." @default.
- W4289805216 created "2022-08-05" @default.
- W4289805216 creator A5055304330 @default.
- W4289805216 date "2013-03-12" @default.
- W4289805216 modified "2023-09-26" @default.
- W4289805216 title "Distillation protocols for Fourier states in quantum computing" @default.
- W4289805216 doi "https://doi.org/10.48550/arxiv.1303.3066" @default.
- W4289805216 hasPublicationYear "2013" @default.
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