Control of Non-Resonant Effects in a Nuclear Spin Quantum Computer with a Large Number of Qubits

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We discuss how to simulate simple quantum logic operations with a large number of qubits. These simulations are needed for experimental testing of scalable solid-state quantum computers. Quantum logic for remote qubits is simulated in a spin chain. Analytical estimates are presented for possible correlated errors caused by non-resonant transitions. A range of parameters is given in which non-resonant effects can be minimized.
4 pages of RevTex including 4 figures

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