The Exchange Gate in Solid State Spin Quantum Computation: The Applicability of the Heisenberg Model

Details The Exchange Gate in Solid State Spin Quantum Computation: The Applicability of the Heisenberg Model The Exchange Gate in Solid State Spin Quantum Computation: The Applicability of the Heisenberg Model

2004-10-20

arxiv.org/abs/cond-mat/0410521v2

Phys. Rev. A 71, 032340 (2005)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

13 pages, 8 figures

Scientific paper

10.1103/PhysRevA.71.032340

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, multi-spin terms which go beyond the basic Heisenberg model.

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