Journal of Applied Mathematics 
Volume 2003 (2003), Issue 1, Pages 35-53
doi:10.1155/S1110757X03110182

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

Abstract

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.