Perturbation approach for nuclear magnetic resonance solid-state quantum computation

Abstract

A dynamics of a nuclear-spin quantum computer with a large number $\left(L=1000\right)$ of qubits is considered using a perturbation approach. Small parameters are introduced and used to compute the error in an implementation of an entanglement between remote qubits, using a sequence of radio-frequency pulses. The error is computed up to the different orders of the perturbation theory and tested using exact numerical solution.