Non-Abelian statistics of Majorana zero modes in the presence of an Andreev bound state

Abstract

The low-energy Andreev bound states (ABSs) mixing with the Majorana zero modes (MZMs) may destroy the non-Abelian braiding statistics of the MZMs. We numerically studied the braiding properties of MZMs when an ABS is present. Numerical simulation results support the argument that the ABS can be regarded as a pair of weakly coupled MZMs. The non-Abelian braiding properties of MZMs exhibit oscillation behaviour with respect to the braiding time if the ABSrelated dynamic phase is present. Remarkably, such dynamic phase can be eliminated by tuning the magnetic field or gate voltage. In this way, the non-Abelian braiding statistics independent of the braiding time retrieves so that the topological quantum computation could still be robust even when the ABS is engaged.

Enhanced topological superconductivity in an asymmetrical planar Josephson junction

“…As the most promising candidate for topological quantum computing, Majorana zero model (MZM) has received the widespread attention in recent years. [1][2][3][4][5][6][7][8][9][10] Earlier schemes proposed to create MZMs focus on the one-dimensional systems with strong spin-orbit interaction and proximity-induced superconductivity, [11][12][13][14][15][16][17][18][19][20][21] including proximitized semiconductor nanowires [22][23][24][25][26][27][28][29] and ferromagnetic atomic chains. [30,31] The existence of MZM is proved by the appearance of zero bias conductance peak in most experiments.…”

Tunable interface states between Floquet-Weyl semimetals

“…Recently, the interest in topological materials has moved towards their possible applications for quantum technologies [41][42][43][44][45][46][47][48][49] . The robustness of the topological properties against weak perturbations makes this materials good candidates as efficient platforms for quantum computing 47 .…”