Eliminating interactions between non-neighboring qubits in the preparation of cluster states in quantum molecules
arXiv:quant-ph/0703239 · doi:10.1140/epjb/e2008-00053-9
Abstract
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.
5 pages, 4 figures, 2 tables
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