Teleportation-based quantum information processing with Majorana zero modes

We present a measurement-based scheme for performing braiding operations on Majorana zero modes in mesoscopic superconductor islands and for detecting their non-Abelian statistics without moving or hybridizing them. In our scheme for “braiding without braiding”, the topological qubit encoded in any...

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Main Authors: Vijay, Sagar, Fu, Liang
Other Authors: Massachusetts Institute of Technology. Department of Physics
Format: Article
Language:English
Published: American Physical Society 2017
Online Access:http://hdl.handle.net/1721.1/106310
https://orcid.org/0000-0002-8803-1017
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author Vijay, Sagar
Fu, Liang
author2 Massachusetts Institute of Technology. Department of Physics
author_facet Massachusetts Institute of Technology. Department of Physics
Vijay, Sagar
Fu, Liang
author_sort Vijay, Sagar
collection MIT
description We present a measurement-based scheme for performing braiding operations on Majorana zero modes in mesoscopic superconductor islands and for detecting their non-Abelian statistics without moving or hybridizing them. In our scheme for “braiding without braiding”, the topological qubit encoded in any pair of well-separated Majorana zero modes is read out from the transmission phase shift in electron teleportation through the island in the Coulomb-blockade regime. We propose experimental setups to measure the teleportation phase shift via conductance in an electron interferometer or persistent current in a closed loop.
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spelling mit-1721.1/1063102022-10-02T08:23:14Z Teleportation-based quantum information processing with Majorana zero modes Vijay, Sagar Fu, Liang Massachusetts Institute of Technology. Department of Physics Fu, Liang Vijay, Sagar We present a measurement-based scheme for performing braiding operations on Majorana zero modes in mesoscopic superconductor islands and for detecting their non-Abelian statistics without moving or hybridizing them. In our scheme for “braiding without braiding”, the topological qubit encoded in any pair of well-separated Majorana zero modes is read out from the transmission phase shift in electron teleportation through the island in the Coulomb-blockade regime. We propose experimental setups to measure the teleportation phase shift via conductance in an electron interferometer or persistent current in a closed loop. United States. Department of Energy. Office of Basic Energy Science. Division of Materials Sciences and Engineering. (award DE-SC0010526) National Science Foundation (U.S.). (grant NSF PHY11-25915) 2017-01-09T21:10:13Z 2017-01-09T21:10:13Z 2016-12 2016-09 2016-12-29T23:00:03Z Article http://purl.org/eprint/type/JournalArticle 1098-0121 1550-235X http://hdl.handle.net/1721.1/106310 Vijay, Sagar, and Liang Fu. "Teleportation-based quantum information processing with Majorana zero modes" Physical Review B vol. 94, no. 235446, 2016, pp. 1-9. ©2017 American Physical Society. https://orcid.org/0000-0002-8803-1017 en http://dx.doi.org/10.1103/PhysRevB.94.235446 Physical Review B Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. American Physical Society application/pdf American Physical Society American Physical Society
spellingShingle Vijay, Sagar
Fu, Liang
Teleportation-based quantum information processing with Majorana zero modes
title Teleportation-based quantum information processing with Majorana zero modes
title_full Teleportation-based quantum information processing with Majorana zero modes
title_fullStr Teleportation-based quantum information processing with Majorana zero modes
title_full_unstemmed Teleportation-based quantum information processing with Majorana zero modes
title_short Teleportation-based quantum information processing with Majorana zero modes
title_sort teleportation based quantum information processing with majorana zero modes
url http://hdl.handle.net/1721.1/106310
https://orcid.org/0000-0002-8803-1017
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