Transformation of spin singlet and triplet states to bell states

We have been studying entanglement manifested in atomic processes, and especially noted the similarity between the quantum teleportation and a scattering process between an electron and an atom which has two electrons in the outermost shell. In an electron-atom scattering, initially an electron, which may or may not be in an unknown quantum state, comes in and interacts with the atomic electrons, and there is an electron coming out in the final state. The quantum state of the ejected out-going electron is correlated with state of the remaining electrons. We showed that the underlying logical structure may be rewritten in a form analogous to quantum teleportation, but it is not practical to use the scattering process as a means of quantum teleportation because one part of the entangled system cannot be taken away in advance for a later need. The scattered electron carries away information which is blurred through the interaction with the atomic electrons, and it may be undetermined until a measurement in the entangled bases (the Bell states) is made. We showed that the state of the initial incoming electron may be recovered through a unitary transformation according to the outcome of the measurement performed on the remaining atom.