Since the discovery of iron-based superconductors in 2008 [1], a new tide of study on high Tc superconductors spreads worldwide quickly. After a few years' intensive study, many new compounds of iron-based superconductors have been found and their properties have been disclosed. The great achievement is attributed to the modern experimental techniques, fast developing numerical methods and improved theories during the study of cuprate superconductors or more generally strongly correlated electron systems. For instance, the Fermi surface,
We study an array of graphene nano sheets that form a two-dimensional S = 1/2 Kagome spin lattice used for quantum computation. The edge states of the graphene nano sheets are used to form quantum dots to confine electrons and perform the computation. We propose two schemes of bang-bang control to combat decoherence and realize gate operations on this array of quantum dots. It is shown that both schemes contain a great amount of information for quantum computation. The corresponding gate operations are also proposed.