About the possibility for using graphene layers 12 C–13 C for quantum computation

Abstract

We used a graphene 12 C matrix doped with 13 C atoms in a squared and center-triangular configuration, where only the interaction 13 C–13 C with their magnetic moments are considered. This is done in the presence of a constant magnetic field parallel to the layers and a transverse rf-magnetic field in order to simulate the NOT gate (single layer), controlled-not quantum gate (two layers), and controlled-controlled-not quantum gate (three layers). However, as it would be explained in more detail throughout this article, a single qubit rotation defined by a single graphene layer was not possible to construct. We found that frequencies needed to perform this transitions do not depend on the number of 13 C atoms on each layer, which means that we can make transitions between two distant states with big separation of energy levels (m and n states) with lower frequency pulses .