Geodesic
Realizations of standard quantum computational circuits by adiabatic
Teoretičeskaâ i matematičeskaâ fizika, Tome 150 (2007) no. 3, pp. 461-472

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We study the adiabatic equivalent of the standard quantum circuit of elementary logic operators. We propose a scheme for constructing time variations of the Hamiltonian. This scheme can be implemented sufficiently simply, for example, on nuclear spins controlled by radio-frequency pulses. As an illustration, we numerically simulate an adiabatic quantum algorithm for finding the permutation order for a system of five spins (qubits).
Keywords: quantum algorithm, nuclear magnetic resonance.
Mots-clés : adiabatic evolution 
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     author = {V. E. Zobov and A. S. Ermilov},
     title = {Realizations of standard quantum computational circuits by adiabatic},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {461--472},
     publisher = {mathdoc},
     volume = {150},
     number = {3},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2007_150_3_a6/}
}
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V. E. Zobov; A. S. Ermilov. Realizations of standard quantum computational circuits by adiabatic. Teoretičeskaâ i matematičeskaâ fizika, Tome 150 (2007) no. 3, pp. 461-472. http://geodesic.mathdoc.fr/item/TMF_2007_150_3_a6/