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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…

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

In topological quantum computing, unitary operations on qubits are performed by adiabatic braiding of non-Abelian quasiparticles, such as Majorana zero modes, and are protected from local environmental perturbations. In the adiabatic…

介观与纳米尺度物理 · 物理学 2017-08-29 Armin Rahmani , Babak Seradjeh , Marcel Franz

Braiding of Majorana zero modes provides a promising platform for quantum information processing, which is topologically protected against errors. Strictly speaking, however, the scheme relies on infinite braiding times as it utilizes the…

介观与纳米尺度物理 · 物理学 2015-05-18 Torsten Karzig , Armin Rahmani , Felix von Oppen , Gil Refael

We study the dynamics of Majorana zero modes that are shuttled via local tuning of the electrochemical potential in a superconducting wire. By performing time-dependent simulations of microscopic lattice models, we show that diabatic…

介观与纳米尺度物理 · 物理学 2018-07-18 Bela Bauer , Torsten Karzig , Ryan V. Mishmash , Andrey E. Antipov , Jason Alicea

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…

量子物理 · 物理学 2021-06-02 Marek Narozniak , Matthieu Dartiailh , Jonathan P. Dowling , Javad Shabani , Tim Byrnes

Motivated by recent experimental progress in realizing Majorana zero modes (MZMs) using quantum dot systems, we investigate the diabatic errors associated with the movement of those MZMs. The movement is achieved by tuning time-dependent…

介观与纳米尺度物理 · 物理学 2025-03-03 Bradraj Pandey , Gaurav Kumar Gupta , Gonzalo Alvarez , Satoshi Okamoto , Elbio Dagotto

The creation of topological quantum gates using Majorana zero modes -- an outstanding problem in the field of topological quantum computing -- relies on our ability to control the braiding process of these particles in time and space. Here,…

介观与纳米尺度物理 · 物理学 2023-02-13 Jasmin Bedow , Eric Mascot , Themba Hodge , Stephan Rachel , Dirk K. Morr

Majorana Bound States (MBS) have emerged as promising candidates for robust quantum computing due to their non-Abelian statistics and topological protection. In this study, we focus on the dynamical transport of MBS in the…

介观与纳米尺度物理 · 物理学 2025-07-14 Dibyajyoti Sahu , Suhas Gangadharaiah

Majorana zero mode (MZM) exhibits inherent resilience to local parametric fluctuations, due to the topological protection mechanism in the non-Abelian braiding statistics of the anyonic quasiparticles. In this paper, we construct the…

量子物理 · 物理学 2025-11-19 Zhu-yao Jin , Jun Jing

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…

Majorana zero modes (MZMs)--bearing potential applications for topological quantum computing--are verified in quasi-one-dimensional (1D) Fermion systems, including semiconductor nanowires, magnetic atomic chains, planar Josephson junctions.…

介观与纳米尺度物理 · 物理学 2020-04-29 Shu-guang Cheng , Jie Liu , Haiwen Liu , Hua Jiang , Qing-feng Sun , X. C. Xie

Recent advances in quantum dot platforms have opened new pathways for realizing Majorana zero modes (MZMs) and simulating topological quantum computation. Here we propose an experimentally feasible setup for implementing topological…

强关联电子 · 物理学 2025-09-22 Bradraj Pandey , Satoshi Okamoto , Pontus Laurell , Stephan Rachel , Elbio Dagotto

Adiabatic braiding of Majorana zero modes can be used for topologically protected quantum information processing. While extremely robust to many environmental perturbations, these systems are vulnerable to noise with high-frequency…

量子物理 · 物理学 2018-07-02 Kyle Ritland , Armin Rahmani

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…

介观与纳米尺度物理 · 物理学 2025-05-15 Jasmin Bedow , Dirk K. Morr

The realization and manipulation of Majorana zero modes have drawn significant attention for their crucial role in enabling topological quantum computation. Conventional approaches to the braiding of Majorana zero modes rely on adiabatic…

量子物理 · 物理学 2026-01-28 Fei Yu , P. Z. Zhao , Jiangbin Gong

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…

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

The prospects for realizing a topological quantum computer have brightened since the apparent detection of Majorana fermions at the ends of semiconducting nanowires. These Majorana zero-modes persist in the presence of the strong disorder…

介观与纳米尺度物理 · 物理学 2016-08-02 Sonika Johri , Rahul Nandkishore

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…

介观与纳米尺度物理 · 物理学 2021-04-20 Jie Liu , Wenqin Chen , Ming Gong , Yijia Wu , X. C. Xie

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
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