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TMF, 2007, Volume 150, Number 3, Pages 461–472 (Mi tmf5990)  

Realizations of standard quantum computational circuits by adiabatic evolution

V. E. Zobov, A. S. Ermilov

L. V. Kirensky Institute of Physics, Siberian Branch of the Russian Academy of Sciences

Abstract: 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, adiabatic evolution, nuclear magnetic resonance

DOI: https://doi.org/10.4213/tmf5990

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English version:
Theoretical and Mathematical Physics, 2007, 150:3, 393–402

Bibliographic databases:

Received: 26.12.2005
Revised: 25.08.2006

Citation: V. E. Zobov, A. S. Ermilov, “Realizations of standard quantum computational circuits by adiabatic evolution”, TMF, 150:3 (2007), 461–472; Theoret. and Math. Phys., 150:3 (2007), 393–402

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  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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