  We investigate quantum noise effect on the transportation of nonlocal Cooper
pairs accross the realistic Andreev entangler which consists of an s-wave
superconductor coupled to two small quantum dots at resonance which themselves
are coupled to normal leads. The noise emerges due to voltage fluctuations felt
by the electrons residing on the two dots as a result of the finite resistances
in the gate leads or of any resistive lead capacitively coupled to the dots. In
the ideal noiseless case, the setup provides a trustable source of mobile and
nonlocal spin-entangled electrons and the transport is dominated by a
two-particle Breit-Wigner resonance that allows the injection of two
spin-entangled electrons into different leads at the same energy [P. Recher, E.
V. Sukhorukov, and D. Loss, Phys. Rev. B 63, 165314 (2001)]. We seek to revisit
the transport of those nonlocal Cooper pairs as well as the efficiency of such
an Andreev entangler when including the quantum noise (decoherence).
