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Braiding of Majorana states demonstrates their non-Abelian exchange statistics. One implementation of braiding requires control of the pairwise couplings between all Majorana states in a trijunction device. To have adiabaticity, a…

介观与纳米尺度物理 · 物理学 2024-02-14 Juan Daniel Torres Luna , Sathish R. Kuppuswamy , Anton R. Akhmerov

We study the dynamical process of braiding Majorana bound states in the presence of the coupling to photons in a microwave cavity. We show theoretically that the $\pi/4$ phase associated with the braiding of Majoranas, as well as the parity…

介观与纳米尺度物理 · 物理学 2019-06-19 Mircea Trif , Pascal Simon

We propose a versatile platform to investigate the existence of Majorana bound states (MBSs) and their non-Abelian statistics through braiding. This implementation combines a two-dimensional electron gas formed in a semiconductor quantum…

介观与纳米尺度物理 · 物理学 2016-08-25 Geoffrey L. Fatin , Alex Matos-Abiague , Benedikt Scharf , Igor Žutić

Majorana-based topological qubits are expected to exploit the nonabelian braiding statistics of Majorana modes in topological superconductors to realize fault-tolerant topological quantum computation. Scalable qubit designs require several…

介观与纳米尺度物理 · 物理学 2023-12-27 Pasquale Marra , Daisuke Inotani , Muneto Nitta

Two-dimensional electron gases with strong spin-orbit coupling covered by a superconducting layer offer a flexible and potentially scalable platform for Majorana networks. We predict Majorana bound states (MBSs) to appear for experimentally…

介观与纳米尺度物理 · 物理学 2017-10-18 Michael Hell , Karsten Flensberg , Martin Leijnse

We investigate the self-correcting properties of a network of Majorana wires, in the form of a trijunction, in contact with a parity-preserving thermal environment. As opposed to the case where Majorana bound states (MBSs) are immobile,…

介观与纳米尺度物理 · 物理学 2015-09-22 Fabio L. Pedrocchi , David P. DiVincenzo

Braiding Majorana zero-modes around each other is a promising route towards topological quantum computing. Yet, two competing maxims emerge when implementing Majorana braiding in real systems: On the one hand, perfect braiding should be…

介观与纳米尺度物理 · 物理学 2022-01-31 Niels Breckwoldt , Thore Posske , Michael Thorwart

Superconductors hosting long-sought excitations called Majorana fermions may be ultimately used as qubits of fault-tolerant topological quantum computers. A crucial challenge toward the topological quantum computer is to implement quantum…

介观与纳米尺度物理 · 物理学 2015-06-03 Cássio Sozinho Amorim , Kazuto Ebihara , Ai Yamakage , Yukio Tanaka , Masatoshi Sato

Avenues of Majorana bound states (MBSs) have become one of the primary directions towards a possible realization of topological quantum computation. For a Y-junction of Kitaev quantum wires, we numerically investigate the braiding of MBSs…

介观与纳米尺度物理 · 物理学 2017-09-27 Michael Sekania , Stephan Plugge , Martin Greiter , Ronny Thomale , Peter Schmitteckert

Topological superconductivity could host quasiparticles that are key candidates for fault-tolerant quantum computation due to their immunity to noise as they obey non-Abelian exchange statistics. For example, in the case of Majorana Zero…

量子物理 · 物理学 2026-03-09 Rahul Singh , Weixin Lu , Kaelyn J Ferris , Javad Shabani

Demonstration of non-Abelian statistics of Majorana bound states (MBS) is crucial for the realization of fault-tolerant topological quantum computation. Two-dimensional platforms such as planar Josephson junctions require an in-plane…

超导电性 · 物理学 2025-07-08 Pankaj Sharma , Narayan Mohanta

We study multiband semiconducting nanowires proximity-coupled with an s-wave superconductor and calculate the topological phase diagram as a function of the chemical potential and magnetic field. The non-trivial topological state…

超导电性 · 物理学 2015-03-19 Tudor Stanescu , Roman M. Lutchyn , S. Das Sarma

Braiding Majorana zero modes (MZMs) is the key procedure toward topological quantum computation. We show such braiding can be well performed in a parallel semiconductor-superconductor nanowire structure. Considering the fact that the…

介观与纳米尺度物理 · 物理学 2020-10-27 Wenqin Chen , Jiachen Wang , Yijia Wu , Jie Liu , X. C. Xie

We study a Majorana-carrying quantum wire, driven into a trivial phase by breaking the spatial inversion symmetry with a tilted external magnetic field. Interestingly, we predict that a supercurrent applied in the proximate superconductor…

介观与纳米尺度物理 · 物理学 2013-02-18 Xiong-Jun Liu , Alejandro M. Lobos

Majorana bound states have been proposed as building blocks for qubits on which certain operations can be performed in a topologically protected way using braiding. However, the set of these protected operations is not sufficient to realize…

介观与纳米尺度物理 · 物理学 2013-03-08 Thomas L. Schmidt , Andreas Nunnenkamp , Christoph Bruder

We propose a topological qubit in which braiding and readout are mediated by the $4\pi$ Majorana-Josephson effect. The braidonium device consists of three Majorana nanowires that come together to make a tri-junction; in order to control the…

介观与纳米尺度物理 · 物理学 2019-01-30 John P. T. Stenger , Michael Hatridge , Sergey M. Frolov , David Pekker

Non-Abelian quasiparticles have been predicted to exist in a variety of condensed matter systems. Their defining property is that an adiabatic braid between two of them results in a nontrivial change of the quantum state of the system. To…

介观与纳米尺度物理 · 物理学 2016-01-28 Jian Li , Titus Neupert , B. Andrei Bernevig , Ali Yazdani

It has been argued that fluctuations of fermion parity are harmful for the demonstration of non-Abelian anyonic statistics. Here, we demonstrate a striking exception in which such fluctuations are actively used. We present a theory of…

介观与纳米尺度物理 · 物理学 2020-11-09 Sunghun Park , H. -S. Sim , Patrik Recher

Majorana fermions are predicted to arise at the ends of nanowire devices which combine superconductivity, strong spin-orbit coupling and an external magnetic field. By manipulating networks of these devices with suitable gating, it has been…

介观与纳米尺度物理 · 物理学 2020-01-03 Fenner Harper , Aakash Pushp , Rahul Roy

We consider a model of ballistic quasi-one dimensional semiconducting wire with intrinsic spin-orbit interaction placed on the surface of a bulk s-wave superconductor (SC), in the presence of an external magnetic field. This setup has been…

介观与纳米尺度物理 · 物理学 2013-08-06 A. A. Zyuzin , Diego Rainis , Jelena Klinovaja , Daniel Loss
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