Implementation of phase estimation and quantum counting algorithms on an NMR quantum-information processor

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The quantum Fourier transform is a key factor in achieving exponential speedup relative to classical algorithms. We implemented the phase estimation algorithm, which is the very basic application example of the quantum Fourier transform, on a three-bit nuclear magnetic resonance quantum-information processor. The algorithm was applied to one-bit Grover operators to estimate eigenvalues. We also demonstrated the counting algorithm with the same operators to obtain the number of the marked states. The results of projective measurements required by the algorithms were obtained from the split peak positions in the spectra.
Publisher
AMERICAN PHYSICAL SOC
Issue Date
2002
Language
English
Article Type
Article
Keywords

NUCLEAR-MAGNETIC-RESONANCE; EXPERIMENTAL REALIZATION; SEARCH ALGORITHM; COMPUTER; EIGENVALUES; COMPUTATION; STATES

Citation

PHYSICAL REVIEW A, v.66, no.4

ISSN
1050-2947
DOI
10.1103/PhysRevA.66.042316
URI
http://hdl.handle.net/10203/81866
Appears in Collection
PH-Journal Papers(저널논문)
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