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We provide a conceptual framework for developing a scalable topological quantum computer. It relies on forming Majorana fermions using circular electronic gates in two-dimensional p-wave superconductors. The gates allow the precise control…

介观与纳米尺度物理 · 物理学 2020-11-19 Ji Ung Lee

Majorana zero-modes in a superconductor are midgap states localized in the core of a vortex or bound to the end of a nanowire. They are anyons with non-Abelian braiding statistics, but when they are immobile one cannot demonstrate this by…

超导电性 · 物理学 2019-04-17 C. W. J. Beenakker , P. Baireuther , Y. Herasymenko , I. Adagideli , Lin Wang , A. R. Akhmerov

The study of non-Abelian Majorana zero modes advances our understanding of the fundamental physics in quantum matter, and pushes the potential applications of such exotic states to topological quantum computation. It has been shown that in…

介观与纳米尺度物理 · 物理学 2014-05-02 Xiong-Jun Liu , Chris L. M. Wong , K. T. Law

Abrikosov vortices in Fe-based superconductors are a promising platform for hosting Majorana zero modes. Their adiabatic exchange is a key ingredient for Majorana-based quantum computing. However, the adiabatic braiding process can not be…

超导电性 · 物理学 2020-05-27 Thore Posske , Ching-Kai Chiu , Michael Thorwart

Recent progress toward the fabrication of Majorana-based qubits has sparked the need for systematic approaches to optimize experimentally relevant parameters for the realization of robust Majorana bound states. Here, we introduce an…

介观与纳米尺度物理 · 物理学 2018-12-21 Samuel Boutin , Julien Camirand Lemyre , Ion Garate

We propose an efficient protocol for braiding atomic Majorana fermions in wire networks with AMO techniques and demonstrate its robustness against experimentally relevant errors. Based on this protocol we provide a topologically protected…

量子物理 · 物理学 2013-11-20 Christina V. Kraus , P. Zoller , Mikhail A. Baranov

Identifying realistic platforms capable of controlled operations with Majorana bound states is a key challenge in the study of topological superconductivity. Among the most promising proposals are magnet-superconductor hybrid devices, which…

介观与纳米尺度物理 · 物理学 2025-05-29 Daniel Hauck , Stefan Rex , Markus Garst

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

Chiral superconductors have the ability to host topologically protected Majorana zero modes which have been proposed as future qubits for topological quantum computing. The recently introduced magnet--superconductor hybrid (MSH) systems…

介观与纳米尺度物理 · 物理学 2019-11-27 Eric Mascot , Sagen Cocklin , Stephan Rachel , Dirk K. Morr

The remarkable properties and potential applications of Majorana fermions have led to considerable efforts in recent years to realize topological matters that host these excitations. For a number-conserving system, there have been a few…

量子气体 · 物理学 2019-01-10 X. Y. Yin , Tin-Lun Ho , Xiaoling Cui

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

Exchangeless braiding of Majorana modes is studied in minimal networks of weakly hybridized Kitaev chains of finite length using a rigorous many-body framework. In particular, for two coupled chains it is shown that exchangeless braiding is…

介观与纳米尺度物理 · 物理学 2025-08-12 Robin Quade , Michael Potthoff

We present a protocol to selectively decouple, recouple, and engineer effective couplings in mesoscopic dipolar spin networks. In particular, we develop a versatile protocol that relies upon magic angle spinning to perform Hamiltonian…

量子物理 · 物理学 2019-01-16 Ashok Ajoy , Ulf Bissbort , Dario Poletti , Paola Cappellaro

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

We present designs for scalable quantum computers composed of qubits encoded in aggregates of four or more Majorana zero modes, realized at the ends of topological superconducting wire segments that are assembled into superconducting…

We study one dimensional (1D) and quasi-1D periodic structures as possible platforms for the emergence of Majorana bound states with enhanced robustness against disorder and system inhomogeneity. First, using a simple 1D model, we…

介观与纳米尺度物理 · 物理学 2020-06-02 Benjamin D. Woods , Tudor D. Stanescu

We theoretically study scanning gate microscopy of a superconductor-proximitized semiconducting wire focusing on the potential for detection of Majorana bound states. We exploit the possibility to create a local potential perturbation by…

介观与纳米尺度物理 · 物理学 2025-11-18 S. Maji , M. P. Nowak

Density matrix downfolding (DMD) is a technique for regressing low-energy effective Hamiltonians from quantum many-body Hamiltonians. One limiting factor in the accuracy of classical implementations of DMD is the presence of…

We propose a one-dimensional Hamiltonian $H_{1D}$ which supports Majorana fermions when $d_{x^{2}-y^{2}}$-wave superfluid appears in the ultracold atomic system and obtain the phase-separation diagrams both for the time-reversal-invariant…

量子气体 · 物理学 2013-08-06 Zhongbo Yan , Xiaosen Yang , Shaolong Wan

Magnetic skyrmions are nanoscale spin configurations that can be efficiently created and manipulated. They hold great promises for next-generation spintronics applications. In parallel to these developments, the interplay of magnetism,…

超导电性 · 物理学 2019-10-24 Maxime Garnier , Andrej Mesaros , Pascal Simon