Topological quantum computation based on chiral Majorana fermions

Biao Lian, Xiao Qi Sun, Abolhassan Vaezi, Xiao Liang Qib, Shou Cheng Zhang

Research output: Contribution to journalArticlepeer-review

86 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)10938-10942
Number of pages5
JournalProceedings of the National Academy of Sciences of the United States of America
Volume115
Issue number43
DOIs
StatePublished - Oct 23 2018

All Science Journal Classification (ASJC) codes

  • General

Keywords

  • Majorana
  • Quantum computing
  • Topological

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