Braiding of Majorana bound states in a driven-dissipative Majorana box setup

We investigate a system of Majorana box qubits, where each of the Coulomb blockaded boxes is driven by an applied AC voltage and is embedded in a dissipative environment. The AC voltage is applied between a pair of quantum dots, each of which is coupled by tunneling to a Majorana box qubit. Moreover...

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Main Authors: Kunmin Wu, Sadeq S Kadijani, Thomas L Schmidt
Format: Article
Language:English
Published: IOP Publishing 2024-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/ad96da
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author Kunmin Wu
Sadeq S Kadijani
Thomas L Schmidt
author_facet Kunmin Wu
Sadeq S Kadijani
Thomas L Schmidt
author_sort Kunmin Wu
collection DOAJ
description We investigate a system of Majorana box qubits, where each of the Coulomb blockaded boxes is driven by an applied AC voltage and is embedded in a dissipative environment. The AC voltage is applied between a pair of quantum dots, each of which is coupled by tunneling to a Majorana box qubit. Moreover, the dissipation is created by the coupling to an electromagnetic environment. Recent work has shown that in this case the Majorana bound states (MBSs) which form the computational basis can emerge as dark states, which are stabilized by the dissipation. In our work, we show that the same platform can be used to enable topological braiding of these dissipative MBSs. We show that coupling three such Majorana boxes allows a braiding transformation by changing the tunnel amplitudes adiabatically in time.
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spelling doaj-art-b28755de832e4cffa2f7db16e046cff52025-08-20T02:36:09ZengIOP PublishingNew Journal of Physics1367-26302024-01-01261212300710.1088/1367-2630/ad96daBraiding of Majorana bound states in a driven-dissipative Majorana box setupKunmin Wu0Sadeq S Kadijani1Thomas L Schmidt2Department of Physics and Materials Science, University of Luxembourg , 1511 Luxembourg, LuxembourgDepartment of Physics and Materials Science, University of Luxembourg , 1511 Luxembourg, LuxembourgDepartment of Physics and Materials Science, University of Luxembourg , 1511 Luxembourg, LuxembourgWe investigate a system of Majorana box qubits, where each of the Coulomb blockaded boxes is driven by an applied AC voltage and is embedded in a dissipative environment. The AC voltage is applied between a pair of quantum dots, each of which is coupled by tunneling to a Majorana box qubit. Moreover, the dissipation is created by the coupling to an electromagnetic environment. Recent work has shown that in this case the Majorana bound states (MBSs) which form the computational basis can emerge as dark states, which are stabilized by the dissipation. In our work, we show that the same platform can be used to enable topological braiding of these dissipative MBSs. We show that coupling three such Majorana boxes allows a braiding transformation by changing the tunnel amplitudes adiabatically in time.https://doi.org/10.1088/1367-2630/ad96danon-Abelian anyonsMajorana bound statesopen quantum systemstopological quantum computation
spellingShingle Kunmin Wu
Sadeq S Kadijani
Thomas L Schmidt
Braiding of Majorana bound states in a driven-dissipative Majorana box setup
New Journal of Physics
non-Abelian anyons
Majorana bound states
open quantum systems
topological quantum computation
title Braiding of Majorana bound states in a driven-dissipative Majorana box setup
title_full Braiding of Majorana bound states in a driven-dissipative Majorana box setup
title_fullStr Braiding of Majorana bound states in a driven-dissipative Majorana box setup
title_full_unstemmed Braiding of Majorana bound states in a driven-dissipative Majorana box setup
title_short Braiding of Majorana bound states in a driven-dissipative Majorana box setup
title_sort braiding of majorana bound states in a driven dissipative majorana box setup
topic non-Abelian anyons
Majorana bound states
open quantum systems
topological quantum computation
url https://doi.org/10.1088/1367-2630/ad96da
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