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Braiding operations are challenging to create topological quantum computers. It is unclear whether braiding operations can be executed with any materials. Although various calculations based on Majorana fermions show braiding possibilities,…

Mesoscale and Nanoscale Physics · Physics 2021-06-14 Kyoung Hwan Choi , Dong Hack Suh

There has been experimental evidence for the Majorana zero modes (MZMs) in solid state systems, which are building blocks for potential topological quantum computing. It is important to design devices, in which MZMs are easy to manipulate…

Superconductivity · Physics 2023-09-20 Chuang Li , Xun-Jiang Luo , Li Chen , Dong E. Liu , Fu-Chun Zhang , Xin Liu

In this work, we study the spin texture of a class of higher-order topological superconductors (HOTSC) and show how it can be used to detect and braid Majorana corner modes (MCMs). This class of HOTSC is composed of two-dimensional…

Mesoscale and Nanoscale Physics · Physics 2023-09-20 Xiao-Hong Pan , Xun-Jiang Luo , Jin-Hua Gao , Xin Liu

We propose and investigate a new platform for the realization of Majorana zero modes in a thin-film heterostructure composed of an easy-plane ferromagnet and a superconductor with spin-orbit coupling. The system can support an energetically…

Superconductivity · Physics 2023-01-04 Vedangi Pathak , Sayak Dasgupta , Marcel Franz

Majorana zero modes are quasiparticle excitations in condensed matter systems that have been proposed as building blocks of fault-tolerant quantum computers [1]. They are expected to exhibit non-Abelian particle statistics, in contrast to…

Mesoscale and Nanoscale Physics · Physics 2016-03-18 S. M. Albrecht , A. P. Higginbotham , M. Madsen , F. Kuemmeth , T. S. Jespersen , J. Nygård , P. Krogstrup , C. M. Marcus

Braiding Majorana zero modes (MZMs) is the key procedure toward topological quantum computation. However, the complexity of the braiding manipulation hinders its experimental realization. Here we propose an experimental setup composing of…

Mesoscale and Nanoscale Physics · Physics 2021-04-20 Jie Liu , Wenqin Chen , Ming Gong , Yijia Wu , X. C. Xie

We propose a platform for braiding Majorana non-Abelian anyons based on a heterostructure between a $d$-wave high-$T_c$ superconductor and a quantum spin-Hall insulator. It has been recently shown that such a setup for a quantum spin-Hall…

Mesoscale and Nanoscale Physics · Physics 2021-07-30 Matthew F. Lapa , Meng Cheng , Yuxuan Wang

We propose and analyze a physical system capable of performing topological quantum computation with Majorana zero modes (MZM) in a one-dimensional topological superconductor (1DTS). One of the leading methods to realize quantum gates in…

Quantum Physics · Physics 2021-06-02 Marek Narozniak , Matthieu Dartiailh , Jonathan P. Dowling , Javad Shabani , Tim Byrnes

Majorana-based quantum computation seeks to encode information non-locally in pairs of Majorana zero modes, thereby isolating qubit states from a local noisy environment. In addition to long coherence times, the attractiveness of…

Mesoscale and Nanoscale Physics · Physics 2020-03-18 Christina Knapp , Jukka I. Väyrynen , Roman M. Lutchyn

We consider the one-dimensional (1D) topological superconductor that may form in a planar superconductor-metal-superconductor Josephson junction in which the metal is is subjected to spin orbit coupling and to an in-plane magnetic field.…

Superconductivity · Physics 2019-03-27 Ady Stern , Erez Berg

This is a tutorial review of methods to braid the world lines of non-Abelian anyons (Majorana zero-modes) in topological superconductors. That "Holy Grail" of topological quantum information processing has not yet been reached in the…

Mesoscale and Nanoscale Physics · Physics 2020-08-06 C. W. J. Beenakker

The recent realization of pristine Majorana zero modes (MZMs) in vortices of iron-based superconductors (FeSCs) provides a promising platform for long-sought-after fault-tolerant quantum computation. A large topological gap between the MZMs…

Majorana zero mode is an exotic quasi-particle excitation with non-Abelian statistics in topological superconductor systems, and can serve as the cornerstone for topological quantum computation, a new type of fault-tolerant quantum…

Superconductivity · Physics 2022-04-27 Xianxin Wu , Rui-Xing Zhang , Gang Xu , Jiangping Hu , Chao-Xing Liu

The study of topological states has become an important topic in both solid-state systems and artificial structures such as photonic crystals and phononic crystals. Among them, Majorana zero modes, which exhibit nontrivial braiding process,…

Mesoscale and Nanoscale Physics · Physics 2025-01-03 Qiyun Ma , Hailong He , Meng Xiao , Zhengyou Liu

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…

Mesoscale and Nanoscale Physics · Physics 2023-12-27 Pasquale Marra , Daisuke Inotani , Muneto Nitta

The realization and manipulation of Majorana zero modes is a key step in achieving topological quantum computation. In this paper, we demonstrate the existence of Majorana corner states in a superconductor-insulators-superconductor vertical…

Superconductivity · Physics 2025-09-17 Cheng-Ming Miao , Yu-Hao Wan , Ying-Tao Zhang , Qing-Feng Sun

Topology-related ideas might lead to noise-resilient quantum computing. For example, it is expected that the slow spatial exchange (`braiding') of Majorana zero modes in superconductors yields quantum gates that are robust against disorder.…

Mesoscale and Nanoscale Physics · Physics 2024-03-13 Péter Boross , András Pályi

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…

Mesoscale and Nanoscale Physics · Physics 2022-01-31 Niels Breckwoldt , Thore Posske , Michael Thorwart

A remarkable property of quantum mechanics in two-dimensional (2D) space is its ability to support "anyons," particles that are neither fermions nor bosons. Theory predicts that these exotic excitations can be realized as bound states…

Executing quantum algorithms using Majorana zero modes - a major milestone for the field of topological quantum computing - requires a platform that can be scaled to large quantum registers, can be controlled in real time and space, and a…

Mesoscale and Nanoscale Physics · Physics 2025-03-17 Jasmin Bedow , Dirk K. Morr