Topological quantum computation based on chiral Majorana fermions
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 closel...
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| Published in | Proceedings of the National Academy of Sciences - PNAS Vol. 115; no. 43; pp. 10938 - 10942 |
|---|---|
| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
| Published |
United States
National Academy of Sciences
23.10.2018
National Academy of Sciences, Washington, DC (United States) |
| Subjects | |
| Online Access | Get full text |
| ISSN | 0027-8424 1091-6490 1091-6490 |
| DOI | 10.1073/pnas.1810003115 |
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| 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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| AbstractList | 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. We propose a platform of quantum computation using the chiral Majorana fermions on the edges of topological materials. The quantum gates are naturally accomplished by the propagation of chiral Majorana fermions. If realized, its computation speed can be 1 0 3 faster than the currently existing quantum computation schemes. 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. 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. 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.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. |
| Author | Qi, Xiao-Liang Vaezi, Abolhassan Zhang, Shou-Cheng Lian, Biao Sun, Xiao-Qi |
| Author_xml | – sequence: 1 givenname: Biao surname: Lian fullname: Lian, Biao organization: Stanford Center for Topological Quantum Physics, Stanford University, Stanford, CA 94305-4045 – sequence: 2 givenname: Xiao-Qi surname: Sun fullname: Sun, Xiao-Qi organization: Stanford Center for Topological Quantum Physics, Stanford University, Stanford, CA 94305-4045 – sequence: 3 givenname: Abolhassan surname: Vaezi fullname: Vaezi, Abolhassan organization: Stanford Center for Topological Quantum Physics, Stanford University, Stanford, CA 94305-4045 – sequence: 4 givenname: Xiao-Liang surname: Qi fullname: Qi, Xiao-Liang organization: Stanford Center for Topological Quantum Physics, Stanford University, Stanford, CA 94305-4045 – sequence: 5 givenname: Shou-Cheng surname: Zhang fullname: Zhang, Shou-Cheng organization: Stanford Center for Topological Quantum Physics, Stanford University, Stanford, CA 94305-4045 |
| BackLink | https://www.ncbi.nlm.nih.gov/pubmed/30297431$$D View this record in MEDLINE/PubMed https://www.osti.gov/servlets/purl/1490636$$D View this record in Osti.gov |
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| ContentType | Journal Article |
| Copyright | Volumes 1–89 and 106–115, copyright as a collective work only; author(s) retains copyright to individual articles Copyright National Academy of Sciences Oct 23, 2018 2018 |
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| Issue | 43 |
| Keywords | topological Majorana quantum computing |
| Language | English |
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| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 content type line 23 USDOE AC02-76SF00515 Contributed by Shou-Cheng Zhang, September 5, 2018 (sent for review June 11, 2018; reviewed by Eduardo Fradkin, Naoto Nagaosa, and Fuchun Zhang) 1B.L. and X.-Q.S. contributed equally to this work. Author contributions: X.-L.Q. and S.-C.Z. designed research; B.L., X.-Q.S., and A.V. performed research; and B.L., X.-Q.S., A.V., X.-L.Q., and S.-C.Z. wrote the paper. Reviewers: E.F., University of Illinois at Urbana–Champaign; N.N., The University of Tokyo and Riken Center for Emergent Matter Science; and F.Z., Kavli Institute for Theoretical Physics China. |
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| Snippet | 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... We propose a platform of quantum computation using the chiral Majorana fermions on the edges of topological materials. The quantum gates are naturally... 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... |
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| SubjectTerms | Braiding CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS Computation Conductance Fermions Majorana Physical Sciences quantum computing Quantum theory Qubits (quantum computing) Resistance Superconductors topological Topology |
| Title | Topological quantum computation based on chiral Majorana fermions |
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