  In this work, we provided a proof-of-principle of efficient production of
maximally entangled states using charged quantum dots coupled to vibrational
modes. The physical system consists of two pairs of quantum dots, each pair
with a single electron able to tunnel between the dots, thus encoding a qubit.
The electrons, initially not coupled, interact with two bosonic vibrational
modes. It is demonstrated that the electron-vibrational mode coupling drives to
an effective electron-electron interaction, which is the main mechanism behind
the formation of maximally quantum entangled electronic states. The effect of
this coupling follows a non-monotonic behavior, which is explained through an
effective hamiltonian which takes into account high order transition processes.
