Topological quantum computation based on chiral Majorana fermions

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

doi:10.1073/pnas.1810003115

Title: Topological quantum computation based on chiral Majorana fermions

Journal Article · 07 October 2018 · Proceedings of the National Academy of Sciences of the United States of America

DOI: https://doi.org/10.1073/pnas.1810003115 · OSTI ID:1490636

Lian, Biao ^[1]; Sun, Xiao -Qi ^[2]; Vaezi, Abolhassan ^[2]; Qi, Xiao -Liang ^[3]; Zhang, Shou -Cheng ^[2]

Princeton Univ., Princeton, NJ (United States); Stanford Univ., Stanford, CA (United States)
Stanford Univ., Stanford, CA (United States)
Stanford Univ., Stanford, CA (United States); Institute for Advanced Study, Princeton, NJ (United States)

Here, 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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Research Organization:: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: AC02-76SF00515

OSTI ID:: 1490636

Journal Information:: Proceedings of the National Academy of Sciences of the United States of America, Journal Name: Proceedings of the National Academy of Sciences of the United States of America Journal Issue: 43 Vol. 115; ISSN 0027-8424

Publisher:: National Academy of Sciences, Washington, DC (United States)Copyright Statement

Country of Publication:: United States

Language:: English

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