Exchange gate in solid-state spin-quantum computation: The applicability of the Heisenberg model

V. W. Scarola and S. Das Sarma
Phys. Rev. A 71, 032340 – Published 24 March 2005

Abstract

Solid-state quantum-computing proposals rely on adiabatic operations of the exchange gate among localized spins in nanostructures. We study corrections to the Heisenberg interaction between lateral semiconductor quantum dots in an external magnetic field. Using exact diagonalization we obtain the regime of validity of the adiabatic approximation. We also find qualitative corrections to the Heisenberg model at high magnetic fields and in looped arrays of spins. Looped geometries of localized spins generate flux-dependent multispin terms which go beyond the basic Heisenberg model.

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  • Received 20 October 2004

DOI:https://doi.org/10.1103/PhysRevA.71.032340

©2005 American Physical Society

Authors & Affiliations

V. W. Scarola and S. Das Sarma

  • Condensed Matter Theory Center, Department of Physics, University of Maryland, College Park, Maryland 20742-4111, USA

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Vol. 71, Iss. 3 — March 2005

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