Perturbation Approach for a Solid-State Quantum Computation

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

Published 2001-10-10Version 1

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.