The Grover algorithm with large nuclear spins in semiconductors
Mesoscale and Nanoscale Physics
2009-11-10 v1
Abstract
We show a possible way to implement the Grover algorithm in large nuclear spins 1/2<I<9/2 in semiconductors. The Grover sequence is performed by means of multiphoton transitions that distribute the spin amplitude between the nuclear spin states. They are distinguishable due to the quadrupolar splitting, which makes the nuclear spin levels non-equidistant. We introduce a generalized rotating frame for an effective Hamiltonian that governs the non-perturbative time evolution of the nuclear spin states for arbitrary spin lengths I. The larger the quadrupolar splitting, the better the agreement between our approximative method using the generalized rotating frame and exact numerical calculations.
Cite
@article{arxiv.cond-mat/0304674,
title = {The Grover algorithm with large nuclear spins in semiconductors},
author = {Michael N. Leuenberger and Daniel Loss},
journal= {arXiv preprint arXiv:cond-mat/0304674},
year = {2009}
}
Comments
11 pages, 18 EPS figures, REVTeX