  A new purification scheme is proposed which applies to arbitrary dimensional
bipartite quantum systems. It is based on the repeated application of a special
class of nonlinear quantum maps and a single, local unitary operation. This
special class of nonlinear quantum maps is generated in a natural way by a
hermitian generalized XOR-gate. The proposed purification scheme offers two
major advantages, namely it does not require local depolarization operations at
each step of the purification procedure and it purifies more efficiently than
other know purification schemes.
