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Quantum
Information and Computation
ISSN: 1533-7146
published since 2001
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Vol.14 No.7&8 May 2014 |
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Distillation protocols for Fourier states in quantum computing
(pp0560-0576)
Cody Jones
doi:
https://doi.org/10.26421/QIC14.7-8-2
Abstracts:
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.
Key words:
QEC, quantum computation |
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