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The braiding of Majorana zero modes (MZMs) forms the fundamental building block for topological quantum computation. Braiding protocols which involve the physical exchange of MZMs are typically envisioned on a network of topological…

Mesoscale and Nanoscale Physics · Physics 2026-02-26 Bill P. Truong , Kartiek Agarwal , T. Pereg-Barnea

We demonstrate that a combination of Majorana edge modes (MEMs) and Majorana zero modes (MZMs) located in the vortex cores of two-dimensional topological superconductors represent a new platform for the efficient implementation of…

Mesoscale and Nanoscale Physics · Physics 2025-05-15 Jasmin Bedow , Dirk K. Morr

Topological quantum computing is based on the notion of braiding non-Abelian anyons, such as Majorana zero modes (MZMs), to perform gate operations. A crucial building block of these protocols is the adiabatic shuttling of MZMs through…

Mesoscale and Nanoscale Physics · Physics 2023-03-28 Bill P. Truong , Kartiek Agarwal , T. Pereg-Barnea

Topological quantum computation based on anyons is a promising approach to achieve fault-tolerant quantum computing. The Majorana zero modes in the Kitaev chain are an example of non-Abelian anyons where braiding operations can be used to…

Hybrid semiconductor-superconductor devices hold great promise for realizing topological quantum computing with Majorana zero modes (MZMs). However, multiple claims of Majorana detection, based on either tunneling or Coulomb blockade (CB)…

We propose a scheme for the circulator function in a superconducting circuit consisting of a three-Josephson junction loop and a trijunction. In this study we obtain the exact Lagrangian of the system by deriving the effective potential…

Quantum Physics · Physics 2021-02-02 Mun Dae Kim

Majorana fermions hold promise for quantum computation, because their non-Abelian braiding statistics allows for topologically protected operations on quantum information. Topological qubits can be constructed from pairs of well-separated…

Quantum Physics · Physics 2013-07-31 T. Hyart , B. van Heck , I. C. Fulga , M. Burrello , A. R. Akhmerov , C. W. J. Beenakker

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…

Mesoscale and Nanoscale Physics · Physics 2016-01-28 Jian Li , Titus Neupert , B. Andrei Bernevig , Ali Yazdani

Exchanging the positions of two non-Abelian anyons transforms between many-body wavefunctions within a degenerate ground-state manifold. This behavior is fundamentally distinct from fermions, bosons and Abelian anyons. Recently, quantum…

Mesoscale and Nanoscale Physics · Physics 2026-02-26 Sebastian Miles , Francesco Zatelli , A. Mert Bozkurt , Michael Wimmer , Chun-Xiao Liu

Topological excitations, such as Majorana zero modes, are a promising route for encoding quantum information. Topologically protected gates of Majorana qubits, based on their braiding, will require some form of network. Here, we propose to…

Mesoscale and Nanoscale Physics · Physics 2021-04-01 L. C. Contamin , M. R. Delbecq , B. Dou çot , A. Cottet , T. Kontos

We study a series of dynamical protocols which involve periodically driving a quantum dot coupled to a putative nanowire hosting Majorana zero modes (MZMs) to i) reduce the hybridization between MZMs, ii) improve the coherence of the…

Mesoscale and Nanoscale Physics · Physics 2022-04-18 Brett Min , Bastien Fajardo , T. Pereg-Barnea , Kartiek Agarwal

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…

Mesoscale and Nanoscale Physics · Physics 2020-08-13 Motohiko Ezawa

Known Majorana fermions models are considered as promising ones for the purposes of quantum computing robust to decoherence. One of the most expecting but unachieved goals is an effective control for braiding of Majoranas. Another one is to…

Mesoscale and Nanoscale Physics · Physics 2017-12-15 Halina V. Grushevskaya , George Krylov

Topological quantum computation by way of braiding of Majorana fermions is not universal quantum computation. There are several attempts to make universal quantum computation by introducing some additional quantum gates or quantum states.…

Quantum Physics · Physics 2024-07-12 Motohiko Ezawa

To realize the braiding operations of Majorana zero mode in the vortex cores of a topological superconductor (TSC), a novel approach is proposed in this letter to replace the common tip (or tip-like) method. Instead of on top of the TSC…

Other Condensed Matter · Physics 2021-09-01 Hai-Yang Ma , Dandan Guan , Shiyong Wang , Yaoyi Li , Canhua Liu , Hao Zheng , Jin-Feng Jia

Majorana zero-modes (MZMs) are spatially-localized zero-energy fractional quasiparticles with non-Abelian braiding statistics that hold a great promise for topological quantum computing. Due to its particle-antiparticle equivalence, an MZM…

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…

Mesoscale and Nanoscale Physics · Physics 2018-10-10 Biao Lian , Xiao-Qi Sun , Abolhassan Vaezi , Xiao-Liang Qi , Shou-Cheng Zhang

We propose a systematic magnetic-flux-free approach to detect, manipulate and braid Majorana fermions in a semiconductor nanowire-based topological Josephson junction by utilizing the Majorana spin degree of freedom. We find an intrinsic…

Superconductivity · Physics 2016-07-18 Xin Liu , Xiaopeng Li , Dong-Ling Deng , Xiong-Jun Liu , S. Das Sarma

A hallmark of topological superconductivity is the non-Abelian statistics of Majorana bound states (MBS), its chargeless zero-energy emergent quasiparticles. The resulting fractionalization of a single electron, stored nonlocally as a two…

Mesoscale and Nanoscale Physics · Physics 2022-04-26 Tong Zhou , Matthieu C. Dartiailh , Kasra Sardashti , Jong E. Han , Alex Matos-Abiague , Javad Shabani , Igor Zutic

In this work, we demonstrate that making a cut (a narrow vacuum regime) in the bulk of a quantum anomalous Hall insulator (QAHI) creates a topologically protected single helical channel with counter-propagating electron modes, and inducing…

Mesoscale and Nanoscale Physics · Physics 2021-06-18 Ying-Ming Xie , Xue-Jian Gao , Tai-Kai Ng , K. T. Law