Simulations of quantum-logic operations in a quantum computer with a largenumber of qubits - art. no. 062305

We report the simulations of the dynamics of quantum-logic operations with large number of qubits (up to 1000). A nuclear-spin chain in which selectiv e excitations of spins are provided by the gradient of the external magneti c field is considered. The spins interact with their nearest neighbors. We simulate the quantum controlled-Nor (CN) gate implementation for remote qub its, which provides the long-distance entanglement. Our approach can be app lied to any implementation of quantum-logic gates involving a large number of qubits.