Braiding of majorana fermions in a cavity
WebDec 17, 2024 · Abstract:Chiral Majorana fermion is a massless self-conjugate fermion which can arise as the edge state of certain two-dimensonal topological matters. It has been theoretically predicted and experimentally observed in a hybrid device of quantum anomalous Hall insulator and a conventional superconductor. Its closely WebJul 16, 2024 · Majorana fermions subject to the non-Abelian braid group are believed to be the basic ingredients of future topological quantum computations. In this work, we propose to simulate Majorana fermions of the Kitaev model in electric circuits based on the observation that the circuit Laplacian can be made identical to the Hamiltonian.
Braiding of majorana fermions in a cavity
Did you know?
WebMay 22, 2024 · We show that if a quantum dot or Majorana zero mode couples to the chiral Majorana fermions, a resonant exchange of chiral Majorana fermions can occur and leads to a non-Abelian braidinglike operation analogous to the braiding of Majorana zero modes. Remarkably, any operation in the braid group can be achieved by this scheme. We … WebJan 19, 2024 · Further, we can use the circulator function to realize the braiding of Majorana zero modes (MZM) 9,10 for topological quantum computing 11,12. Topologically-protected quantum processing is ...
WebMar 2, 2024 · We study the dynamical process of braiding Majorana bound states (MBS) in the presence of the coupling to photons in a microwave cavity. We show theoretically … WebFeb 6, 2024 · The direct coupling between a pair of overlapping Majorana bound states and the electric field from a microwave cavity is extremely difficult to detect due to the self-adjoint character of...
WebThe U.S. Department of Energy's Office of Scientific and Technical Information WebAbelian statistics generate the unitary braiding operation without physically moving the zero-modes in real space [19–23] — although there might be a real-space braiding alternative [24]. Here we present an overview of the diversity of ideas for Majorana braiding in supercon-ductors. There are only ideas so far, no experiments yet.
WebMar 25, 2016 · A new result in this paper is the Clifford Braiding Theorem. This theorem shows that the Majorana operators give rise to a particularly robust representation of the braid group that is then further represented to find the phases of the fermions under their exchanges in a plane space.
WebMar 25, 2016 · A new result in this paper is the Clifford Braiding Theorem. This theorem shows that the Majorana operators give rise to a particularly robust representation of the … inkers technologyWebBraiding With Majorana Fermions Louis H. Kau man a and Samuel J. Lomonaco Jr.2 b a Department of Mathematics, Statistics and Computer Science (m/ c 249), 851 South Morgan Street, University of Illinois at Chicago, Chicago, Illinois 60607-7045 , USA b Department of Computer Science and Electrical Engineering, Unive rsity of Maryland Baltimore County, … mobile tyre fitter isle of wightWebThese properties make Majorana modes non-Abelian anyons. The exchange of two non-Abelian anyons is usually called braiding, a name which is suggestive of the fact that, … mobile tyre fitters brightonWebAugust 20, 2024 14:13 IJMPA S0217751X18300235 page 5 Majorana Fermions and representations of the braid group A iB j= B jA i; for ji jj>1; (7) A iA j= A jA i; (8) B iB j= B … inker \\u0026 hamilton - poetry in motionWebAfter a decade of intense theoretical and experimental efforts, demonstrating braiding of Majorana fermions remains an unsolved problem in condensed matter physics due to platform specific challenges. In this work, we propose topological superconductor (tSC) - magnetic multilayer (MML) heterostructures, with on-chip microwave cavity readout, as … inkersley road royal mailWebRemarkably, Majorana zero modes bound to defects do not obey fermion statistics. Unlike the original particles predicted by Majorana, the zero modes possess non-abelian exchange statistics, also known as non-abelian braiding, which makes them promising for applications in topological quantum computing, as detailed in box 1. inker \u0026 hamilton - poetry in motionWebNov 8, 2024 · The non-Abelian braiding of Majorana fermions is one of the most promising operations providing a key building block for the realization of topological quantum computation. Recently, the chiral Majorana fermions were observed in a hybrid junction btween a quantum anomalous Hall insulator and an s-wave superconductor. inke thors