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Topological quantum computation based on chiral Majorana fermions

2017/12/31 by Biao Lian, Xiao-Qi Sun, Abolhassan Vaezi +2 · 2 citations
Materials Science · Physics and Astronomy · #Advanced Condensed Matter Physics #Dirac fermion #Fermion #Graphene research and applications #MAJORANA #Majorana equation #Majorana fermion #Physics #Quantum #Quantum computer #Quantum mechanics #Qubit #Topological Materials and Phenomena #Topological quantum computer #Topology (electrical circuits) #cond-mat.mes-hall

paper · pdf · doi:10.1073/pnas.1810003115

published as PNAS (2018) · Accepted for publication at PNAS

arxiv created 2018/09/26 · openalex publication_date 2018/10/08 · arxiv updated 2018/10/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

The chiral Majorana fermion is a massless self-conjugate fermion which can arise as the edge state of certain 2D topological matters. It has been theoretically predicted and experimentally observed in a hybrid device of a quantum anomalous Hall insulator and a conventional superconductor. Its closely related cousin, the Majorana zero mode in the bulk of the corresponding topological matter, is known to be applicable in topological quantum computations. Here we show that the propagation of chiral Majorana fermions leads to the same unitary transformation as that in the braiding of Majorana zero modes and propose a platform to perform quantum computation with chiral Majorana fermions. A Corbino ring junction of the hybrid device can use quantum coherent chiral Majorana fermions to implement the Hadamard gate and the phase gate, and the junction conductance yields a natural readout for the qubit state.

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