Generation of Entanglement in a Quantum Wire and Application to Single-Electron

We study how two magnetic impurities embedded in a solid can be entangled by an injected electron scattering between them and by a subsequent measurement of the electron's state. We obtain the entanglement between the impurities as a function of the interaction strength of the electron-impurity spin coupling, and find that our scheme allows us to entangle the impurities maximally with a significant probability. Furthermore, we then reverse to problem to analyze the electron transmittivity of the wire in the presence of entanglement between the impurity spins. We find that, for suitable values of the electron momentum, different entangled states of the impurities can either make the wire fully transparent for the electron (independently of its spin state), either strongly inhibit the electron transmission. These striking predicted effects could be experimentally observable with present day technology.