Dynamic behavior of quantum cellular automata

Abstract

We examine the dynamic behavior of quantum cellular automata, arrays of artificial quantum-dot cells that can be used to perform useful computations. The dynamics of the array can be solved directly, retaining the full many-electron degrees of freedom only for small array sizes. For larger arrays, we develop several approximate techniques for reducing the size of the basis set required. We examine the effect of intercellular quantum correlations on the switching response. Several important examples of switching behavior are solved using the techniques developed.