  We analyze a system in which a topological Majorana zero mode (tMZM) combines
with a Majorana produced by quantum frustration (fMZM) to produce a novel
ground state. The system that we study combines two parts, a grounded
topological superconducting wire that hosts two tMZMs at its ends, and an
on-resonant quantum dot connected to two dissipative leads. The quantum dot
with dissipative leads creates an effective two-channel Kondo (2CK) state in
which quantum frustration yields an isolated fMZM at the dot. We find that
coupling the dot to one end of the topological wire stabilizes the tMZM at the
other end. Three routes are used to obtain these results: (i) calculation of
the conductance through an auxiliary detector quantum dot, (ii) renormalization
group (RG) arguments and the g-theorem, and (iii) a fully non-equilibrium
calculation of the I(V ) curve and shot noise S(V ) through the detector dot.
In addition to providing a route to achieving an unpaired Majorana zero mode,
this scheme provides a clear signature of the presence of the 2CK
frustration-induced Majorana.
