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Two interacting spins in external fields and application to quantum computation

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Abstract

We study the four-level-system given by two quantum dots immersed in a time-dependent magnetic field, which are coupled to each other by an effective Heisenberg-type interaction. We describe the construction of the corresponding evolution operator in a special case of different time-dependent parallel external magnetic fields. We find a relation between the external field and the effective interaction function. The obtained results are used to analyze the theoretical implementation of a universal quantum gate.

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Authors and Affiliations

  1. Instituto de Física, Universidade de São Paulo, Caixa Postal 66318-CEP, 05315-970, São Paulo, S.P., Brazil

    M. C. Baldiotti & D. M. Gitman

  2. Tomsk State University, Tomsk, Russia

    V. G. Bagrov

  3. Institute of High Current Electronics of the Siberian Branch of the Russian Academy of Sciences, Moscow, Russia

    V. G. Bagrov

Authors
  1. M. C. Baldiotti
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  2. V. G. Bagrov
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  3. D. M. Gitman
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Correspondence to M. C. Baldiotti.

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Baldiotti, M.C., Bagrov, V.G. & Gitman, D.M. Two interacting spins in external fields and application to quantum computation. Phys. Part. Nuclei Lett. 6, 559–562 (2009). https://doi.org/10.1134/S1547477109070140

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  • DOI: https://doi.org/10.1134/S1547477109070140

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