Stephen Jordan (Caltech), a friend and collaborator, gave a group meeting to our group about his recent model of quantum computation using Fermions. The model uses a tree-representation to describe Fermionic Young’s diagrams. The details are left to his upcoming papers on quant-ph/.  This model is quite appealing as we quantum chemists think about Fermion symmetry for molecular wave functions in the configuration interaction-type methods. His diagrams look something like:

After his talk, we began trying to find more organic ways of representing these trees and came up with the following representation: