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- W3048331963 abstract "We numerically investigate non-Abelian braiding dynamics of vortices in two-dimensional topological superconductors, such as $s$-wave superconductors with Rashba spin-orbit coupling. Majorana zero modes (MZMs) hosted by the vortices constitute a topological qubit, which offers a fundamental building block of topological quantum computation. As the MZMs are protected by $mathbb{Z}_2$ invariant, however, the Majorana qubit and quantum gate operations may be sensitive to intrinsic decoherence caused by quasiparticle interference. Numerically simulating the time-dependent Bogoliubov-de Gennes equation without assuming ${it a priori}$ existence of MZMs, we examine quantum noises on the unitary operators of non-abelian braiding dynamics due to interactions with neighboring MZMs and other quasiparticle states. We demonstrate that after the interchange of two vortices, the lowest vortex-bound states accumulate the geometric phase $pi/2$, and errors stemming from dynamical phases are negligibly small, irrespective of interactions of MZMs. Furthermore, we numerically simulate the braiding dynamics of four vortices in two-dimensional topological superconductors, and discuss an optimal braiding condition for realizing the high performance of non-Abelian statistics and quantum gates operations of Majorana-based qubits." @default.
- W3048331963 created "2020-08-13" @default.
- W3048331963 creator A5039966298 @default.
- W3048331963 creator A5064556856 @default.
- W3048331963 creator A5080504538 @default.
- W3048331963 creator A5087400950 @default.
- W3048331963 date "2021-02-11" @default.
- W3048331963 modified "2023-10-17" @default.
- W3048331963 title "<i>Ab initio</i> simulation of non-Abelian braiding statistics in topological superconductors" @default.
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- W3048331963 doi "https://doi.org/10.1103/physrevb.103.054504" @default.