The dynamics of the nuclear-spin quantum computer with large number (L=1000) of qubits is considered using a perturbation approach, based on approximate diagonalization of exponentially large sparse matrices. Small parameters are introduced and used to compute the error in implementation of entanglement between remote qubits, by applying a sequence of resonant radio-frequency pulses. The results of the perturbation theory are tested using exact numerical solutions for small number of qubits.
@article{arxiv.quant-ph/0110069,
title = {Perturbation Approach for a Solid-State Quantum Computation},
author = {G. P. Berman and D. I. Kamenev and V. I. Tsifrinovich},
journal= {arXiv preprint arXiv:quant-ph/0110069},
year = {2007}
}