Lattice quadrupling for percolation in quantum networks

This is a follow-on talk to Janek's Wehr's discussion of quantum networking
last spring.  I will briefly review lattice-doubling for improving performance
in two-dimensional quantum networks (worked published by Perseguers, Wehr, et
al. in 2007).  I will then propose a scheme for quadrupling the
three-dimensional lattice.  Evaluation of both schemes requires Monte-Carlo
sampling for bond percolation on the rectangular lattice.  I will walk through
these sampling methods at an elementary level.

John Kerl
Mathematical Physics Seminar
October 1, 2008