2005/08/31 by F. Verstraete, J. I. Cirac · 3 citations
Physics and Astronomy · #cond-mat.str-el #hep-lat #hep-th #quant-ph
paper · pdf · doi:10.1088/1742-5468/2005/09/p09012
published as J.Stat.Mech.0509:P09012,2005 · Added explicit mapping
arxiv created 2005/09/14 · arxiv updated 2011/02/16
We show how to map local fermionic problems onto local spin problems on a lattice in any dimension. The main idea is to introduce auxiliary degrees of freedom, represented by Majorana fermions, which allow us to extend the Jordan-Wigner transformation to dimensions higher than one. We also discuss the implications of our results in the numerical investigation of fermionic systems.