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• W2147472502 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.
• W2147472502 created "2016-06-24" @default.
• W2147472502 creator A5055304330 @default.
• W2147472502 date "2014-05-01" @default.
• W2147472502 modified "2023-09-26" @default.
• W2147472502 title "Distillation protocols for Fourier states in quantum computing" @default.
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• W2147472502 doi "https://doi.org/10.26421/qic14.7-8-2" @default.
• W2147472502 hasPublicationYear "2014" @default.
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