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Related papers: Majorana Zero Modes and Topological Quantum Comput…

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It has been widely believed that half quantum vortices are indispensable to realize topological stable Majorana zero modes and non-Abelian anyons in spinful superconductors/superfluids. Contrary to this wisdom, we here demonstrate that…

Superconductivity · Physics 2015-06-16 Masatoshi Sato , Ai Yamakage , Takeshi Mizushima

After a recent series of rapid and exciting developments, the long search for the Majorana fermion - the elusive quantum entity at the border between particles and antiparticles - has produced the first positive experimental results, but is…

Superconductivity · Physics 2013-05-14 Tudor D. Stanescu , Sumanta Tewari

We evaluate theoretically the possibility to realize Majorana zero modes in hybrid devices made from topological-insulator (TI) nanowires proximity-coupled to a superconductor. Such systems have been suggested as building blocks of future…

Mesoscale and Nanoscale Physics · Physics 2025-03-31 Leonard Kaufhold , Achim Rosch

Majorana zero modes (MZMs) are exotic excitations (in condensed matter systems) that have potential applications in topological quantum computation. Though MZMs have been predicted on many platforms, their existence of them is still under…

Mesoscale and Nanoscale Physics · Physics 2023-04-14 Zhan Cao , Shumeng Chen , Gu Zhang , Dong E. Liu

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

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…

Mesoscale and Nanoscale Physics · Physics 2015-06-03 Cássio Sozinho Amorim , Kazuto Ebihara , Ai Yamakage , Yukio Tanaka , Masatoshi Sato

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…

Mesoscale and Nanoscale Physics · Physics 2022-10-20 Shiva T. Konakanchi , Jukka I. Väyrynen , Yong P. Chen , Pramey Upadhyaya , Leonid P. Rokhinson

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…

Mesoscale and Nanoscale Physics · Physics 2015-05-18 Torsten Karzig , Armin Rahmani , Felix von Oppen , Gil Refael

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)--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.…

Mesoscale and Nanoscale Physics · Physics 2020-04-29 Shu-guang Cheng , Jie Liu , Haiwen Liu , Hua Jiang , Qing-feng Sun , X. C. Xie

We analyze the evidence of Majorana zero modes in nanowires that came from tunneling spectroscopy and other experiments, and scout the path to topologically protected states that are of interest for quantum computing. We illustrate the…

Mesoscale and Nanoscale Physics · Physics 2019-12-25 S. M. Frolov , M. J. Manfra , J. D. Sau

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

We present a new measurement-based scheme for performing braiding operations on Majorana zero modes and for detecting their non-Abelian statistics without moving or hybridizing them. In our scheme, the topological qubit encoded in any pair…

Mesoscale and Nanoscale Physics · Physics 2017-01-04 Sagar Vijay , Liang Fu

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…

Majorana fermions feature non-Abelian exchange statistics and promise fascinating applications in topological quantum computation. Recently, second-order topological superconductors (SOTSs) have been proposed to host Majorana fermions as…

Majorana zero modes are central to the pursuit of fault-tolerant topological quantum computation. While traditionally sought in one-dimensional hybrid nanowires, a robust alternative platform involves heterostructures combining…

Mesoscale and Nanoscale Physics · Physics 2026-05-11 A. S. Slobodskoi , S. S. Apostoloff , I. S. Burmistrov

Majorana zero modes, the elementary building blocks for the quantum bits of topological quantum computers, are known to suffer from hybridization as their wavefunctions begin to overlap. This breaks the ground state degeneracy, splitting…

Mesoscale and Nanoscale Physics · Physics 2026-02-11 Cole Peeters , Themba Hodge , Stephan Rachel

We show the appearance of an unconventional Majorana zero mode whose wave function splits into multiple parts located at different ends of different topological superconductors, hereinafter referred to as a multi-locational Majorana zero…

Superconductivity · Physics 2024-07-16 Yutaro Nagae , Andreas P. Schnyder , Yukio Tanaka , Yasuhiro Asano , Satoshi Ikegaya

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…

Strongly Correlated Electrons · Physics 2024-07-19 Ivar Martin , Kartiek Agarwal

Majorana zero modes are predicted to exist in p+ip (either inherent or effective due to proximity effect) superfluids and are proposed to be used for constructing topological qubits for topologically protected quantum computing. Existing…

Superconductivity · Physics 2018-03-22 Yiruo Lin , Anthony J. Leggett