  We propose a scheme to eliminate the effect of non-nearest-neighbor qubits in
preparing cluster state with double-dot molecules. As the interaction
Hamiltonians between qubits are Ising-model and mutually commute, we can get
positive and negative effective interactions between qubits to cancel the
effect of non-nearest-neighbor qubits by properly changing the electron charge
states of each quantum dot molecule. The total time for the present multi-step
cluster state preparation scheme is only doubled for one-dimensional qubit
chain and tripled for two-dimensional qubit array comparing with the time of
previous protocol leaving out the non-nearest-neighbor interactions.
