One of the central problems in the automatic analysis of distributed or parallel systems is the combinatorial state explosion leading to models, which are exponential in the number of their parallel components. The only known cure for this problem are application specific techniques, which avoid the state explosion problem under special frame conditions. In this paper we present a new such technique, which is tailored to bitvector analyses, which are very common in data flow analysis. In fact, our method allows to adapt most of the practically relevant optimizations for sequential programs, for a parallel setting with shared variables and arbitrary interference between parallel components.