Quantum state transformation and general design scheme on teleportation protocols

We present a scheme for probabilistic transformation of special quantum states assisted by auxiliary qubits. In our scheme, if quantum states can be rewritten in a particular form, it is possible to transform such states into other states using lower-dimensional unitary operations that can be more easily realized in physical experiments. Furthermore, as an important application, we propose a generalized scheme that helps construct faithful quantum channels via various probabilistic channels when considering the existence of nonmaximally-entangled states.