%0 Journal Article %T A simple encoding of a quantum circuit amplitude as a matrix permanent %A Terry Rudolph %J Computer Science %D 2009 %I arXiv %R 10.1103/PhysRevA.80.054302 %X A simple construction is presented which allows computing the transition amplitude of a quantum circuit to be encoded as computing the permanent of a matrix which is of size proportional to the number of quantum gates in the circuit. This opens up some interesting classical monte-carlo algorithms for approximating quantum circuits. %U http://arxiv.org/abs/0909.3005v1