Perturbation Theory for Quantum Computation with Large Number of Qubits

G. P. Berman, G. D. Doolen, D. I. Kamenev, V. I. Tsifrinovich

Published 2001-04-04Version 1

We describe a new and consistent perturbation theory for solid-state quantum computation with many qubits. The errors in the implementation of simple quantum logic operations caused by non-resonant transitions are estimated. We verify our perturbation approach using exact numerical solution for relatively small (L=10) number of qubits. A preferred range of parameters is found in which the errors in processing quantum information are small. Our results are needed for experimental testing of scalable solid-state quantum computers.