Current and noise for entangled electrons

We investigate current and current noise in a setup where some of the leads may emit entangled electron pairs. We develop scattering theory for entangled electrons. For the two-terminal conductors, the current is not affected by entanglement, whereas current noise is suppressed both for singlet and triplet states in comparison with the full product state. For the two-particle Mach-Zehnder interferometer, we find that the visibility of Aharonov-Bohm oscillations is partially suppressed for entangled electrons due to partial distinguishability of electrons (coming from two different sources).