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We show that a special type of entangled states, cluster states, can be created with Heisenberg interactions and local rotations in $2d$ steps where d is the dimension of the lattice. We find that, by tuning the coupling strengths, anisotropic exchange interactions can also be employed to create cluster states. Finally, we propose electron spins in quantum dots as a possible realization of a one-way quantum computer based on cluster states.
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Borhani et al. (2005) studied this question.
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