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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.…

介观与纳米尺度物理 · 物理学 2024-03-13 Péter Boross , András Pályi

We numerically investigate non-Abelian braiding dynamics of vortices in two-dimensional topological superconductors, such as $s$-wave superconductors with Rashba spin-orbit coupling. Majorana zero modes (MZMs) hosted by the vortices…

超导电性 · 物理学 2021-02-16 Takumi Sanno , Shunsuke Miyazaki , Takeshi Mizushima , Satoshi Fujimoto

Majorana zero modes are a promising platform for topologically protected quantum information processing. Their non-Abelian nature, which is key for performing quantum gates, is most prominently exhibited through braiding. While originally…

强关联电子 · 物理学 2019-07-10 Bela Bauer , T. Pereg-Barnea , Torsten Karzig , Maria-Theresa Rieder , Gil Refael , Erez Berg , Yuval Oreg

We discuss a network of Kitaev wires coupled to several individually-tunable quantum dots as an extension of the recent experiments on a quantum dot coupled to a nanowire hosting Majorana zero modes [Deng et al. Science 354 1557 (2016) and…

介观与纳米尺度物理 · 物理学 2018-10-24 Corneliu Malciu , Leonardo Mazza , Christophe Mora

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

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…

介观与纳米尺度物理 · 物理学 2016-03-18 S. M. Albrecht , A. P. Higginbotham , M. Madsen , F. Kuemmeth , T. S. Jespersen , J. Nygård , P. Krogstrup , C. M. Marcus

One-dimensional topological superconductors treated at the mean-field level host zero-energy edge Majorana modes, which encode topological degeneracy of their ground states. Geometric manipulations (braiding) of multiple wires can be used…

强关联电子 · 物理学 2024-07-19 Ivar Martin , Kartiek Agarwal

Majorana zero modes are quasiparticles that hold promise as building blocks for topological quantum computing. However, the litmus test for their detection, the observation of exotic non-abelian statistics revealed by braiding, has so far…

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…

介观与纳米尺度物理 · 物理学 2020-08-06 C. W. J. Beenakker

We investigate the transport properties of Majorana zero mode (MZM) and Majorana Kramers pair (MKP) in one-dimensional topological superconductors, respectively. An effective model is established for braiding of MZMs and MKPs. We employ the…

介观与纳米尺度物理 · 物理学 2025-07-08 Hongfa Pan , Zhengtian Li , Jinxiong Jia , Zhenhua Qiao

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…

介观与纳米尺度物理 · 物理学 2021-07-30 Matthew F. Lapa , Meng Cheng , Yuxuan Wang

Majorana Zero Modes (MZMs) are prime candidates for robust topological quantum bits, holding a great promise for quantum computing. Semiconducting nanowires with strong spin orbit coupling offers a promising platform to harness…

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…

其他凝聚态物理 · 物理学 2021-09-01 Hai-Yang Ma , Dandan Guan , Shiyong Wang , Yaoyi Li , Canhua Liu , Hao Zheng , Jin-Feng Jia

After a decade of intense theoretical and experimental efforts, demonstrating braiding of Majorana modes remains an unsolved problem in condensed matter physics due to platform specific challenges. In this work, we propose topological…

介观与纳米尺度物理 · 物理学 2022-10-20 Shiva T. Konakanchi , Jukka I. Väyrynen , Yong P. Chen , Pramey Upadhyaya , Leonid P. Rokhinson

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

In this work we perform real time simulations for the dynamics of braiding a pair of Majorana zero modes (MZMs) through a quantum dot in a minimal setup of pure 1D realization. We reveal the strong nonadiabatic effect when the dot energy…

介观与纳米尺度物理 · 物理学 2023-09-26 Luting Xu , Jing Bai , Wei Feng , Xin-Qi Li

Andreev bound states in hybrid superconductor-semiconductor devices can have near-zero energy in the topologically trivial regime as long as the confinement potential is sufficiently smooth. These quasi-Majorana states show zero-bias…

介观与纳米尺度物理 · 物理学 2019-11-13 A. Vuik , B. Nijholt , A. R. Akhmerov , M. Wimmer

We study the possibility to realize Majorana zero mode that's robust and may be easily manipulated for braiding in quantum computing in the ground state of the Kitaev model in this work. To achieve this we first apply a uniform [111]…

强关联电子 · 物理学 2021-12-13 Lu Yang , Jia-Xing Zhang , Shuang Liang , Wei Chen , Qiang-Hua Wang

While the adiabatic exchange of Majorana zero modes (MZMs) enables a non-universal set of geometrically protected gates, realising an experimental implementation of MZM braiding remains challenging. In an alternative proposal, charge-parity…

量子物理 · 物理学 2025-07-29 Matthew Brooks , Foster Sabatino , Charles Tahan , Silas Hoffman

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…

介观与纳米尺度物理 · 物理学 2026-02-26 Bill P. Truong , Kartiek Agarwal , T. Pereg-Barnea