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Realizations of standard quantum computational circuits by adiabatic evolution

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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).

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Authors and Affiliations

  1. Kirenskii Institute of Physics, Siberian Branch, RAS, Krasnoyarsk, Russia

    V. E. Zobov & A. S. Ermilov

Authors
  1. V. E. Zobov
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  2. A. S. Ermilov
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 150, No. 3, pp. 461–472, March, 2007.

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Zobov, V.E., Ermilov, A.S. Realizations of standard quantum computational circuits by adiabatic evolution. Theor Math Phys 150, 393–402 (2007). https://doi.org/10.1007/s11232-007-0029-9

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  • DOI: https://doi.org/10.1007/s11232-007-0029-9

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