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We study the low-energy transport properties of a hybrid device composed by anative quantum dot coupled to both ends of a topological superconductingnanowire section hosting Majorana zero-modes. The account of the couplingbetween the dot and the farthest Majorana zero-mode allows to introduce thetopological quality factor, characterizing the level of topological protectionin the system. We demonstrate that Coulomb interaction between the dot and thetopological superconducting section leads to the onset of the additionaloverlap of the wavefunctions describing the Majorana zero-modes, leading to theformation of trivial Andreev bound states even for spatially well-separatedMajoranas. This leads to the spoiling of the quality factor and introduces aconstraint for the braiding process required to perform topological quantumcomputing operations.

Interaction induced hybridization of Majorana zero-modes in a coupled quantum-dot hybrid-nanowire system