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陈文钦、王嘉晨同学研究成果发表在PRB 105, 035311 (2022)
发布时间:2022-05-09

Braiding Majorana zero modes (MZMs) is the key procedure toward topological quantum computation. We show such braiding can be well performed in a parallel semiconductor-superconductor nanowire structure. What is more, considering the fact that the low-energy Andreev bound states (ABSs) usually mixed with the MZMs in the present set-up, we further investigate the braiding properties of MZMs when an ABS is presented. Our numerical simulation suggests that ABS can be
regarded as a pair of weakly coupled MZMs. The dynamical hybridization of MZMs plus the nonabelian braiding of MZMs would induce a universal rotation on the Bloch sphere of a single qubit. Remarkably, such rotation is manipulable since the rotation parameters could be individually modulated.
In this way, the dynamic evolution can be eliminated and the non-Abelian braiding statistics independent of the braiding time-cost retrieves, which may suggest that ABS is not necessary a disadvantage but an important supplementary to the topological quantum computation.