Efficient bipartite quantum state purification in arbitrary dimensional Hilbert spaces

A new purification scheme is proposed which applies to arbitrary dimensiona l bipartite quantum systems. It is based on the repeated application of a s pecial class of nonlinear quantum maps and a single, local unitary operatio n. This special class of nonlinear quantum maps is generated in a natural w ay by a Hermitian generalized XOR-gate. The proposed purification scheme of fers 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 known purification schemes.