Journal of Applied Mathematics
Volume 2003 (2003), Issue 1, Pages 35-53

Perturbation approach for nuclear magnetic resonance solid-state quantum computation

G. P. Berman,1 D. I. Kamenev,1 and V. I. Tsifrinovich2

1Theoretical Division and CNLS, Los Alamos National Laboratory, Los Alamos 87545, NM, USA
2Department of Introductory Design and Science, Polytechnic University, Six Metrotech Center, Brooklyn 11201, NY, USA

Received 22 October 2001; Revised 11 July 2002

Copyright © 2003 G. P. Berman et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A dynamics of a nuclear-spin quantum computer with a large number (L=1000) 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.