Universal quantum control over Majorana zero modes

Abstract: Majorana zero mode (MZM) exhibits inherent resilience to local parametric fluctuations in quantum information processing, due to a topological protection mechanism in the non-Abelian braiding statistics of the anyonic quasiparticles. In this paper, we construct the braiding operations between arbitrary pair of three MZMs under the framework of universal quantum control (UQC). Largely detuned driving fields on the mediator, a local defect of lattice, enable indirect and tunable exchange interaction among arbitrary two MZMs. The braiding operations can then present through the evolution along the universal nonadiabatic passages, whose robustness against the driving-field errors can be substantially enhanced by rapid modulation of the passage-dependent global phase. Moreover, a chiral population transfer on MZMs along the universal passage can be perfectly demonstrated in both clockwise and counterclockwise manners. Our scale-free protocol therefore provides an avenue towards the universal quantum control over MZMs, which is fundamental and essential for topological quantum computation.