  In this work, we demonstrate an equivalence on the single-electron transport
properties between systems of different nature, a topological quantum system
and a (conventional) non-topological one. Our results predicts that the Fano
resonances obtained in a T-shaped double quantum dot system coupled to two
normal leads and one superconducting lead (QD-QD-S) are identical to the
obtained in a ring system composed of a quantum dot coupled to two Majorana
bound states confined at the ends of a one dimensional topological
superconductor nanowire (QD-MBSs). We show that the non-zero value of the Fano
(anti)resonance in the conductance of the QD-MBSs systems is due to a complex
Fano factor qM , which is identical to the complex Fano factor qS of the
QD-QD-S. The complex nature of qS can be understood as a sign of a phase
introduced by the superconducting lead in the QD-QD-S. It is because of this
phase that the equivalence between the QD-QD-S and the QD-MBSs is possible. We
believe that our results can motivate further theoretical and experimental
works toward the understanding of transport properties of topological quantum
hybrid structures from conventional non-topological quantum systems.
