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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…

介观与纳米尺度物理 · 物理学 2023-12-27 Pasquale Marra , Daisuke Inotani , Muneto Nitta

We study the decoherence dynamics of Majorana qubit braiding operations in a topological superconducting chain (TSC) system, in which the braiding is performed by controlling the electron-chemical potentials of the TSCs and the couplings…

介观与纳米尺度物理 · 物理学 2020-05-27 Hon-Lam Lai , Wei-Min Zhang

We investigate the self-correcting properties of a network of Majorana wires, in the form of a trijunction, in contact with a parity-preserving thermal environment. As opposed to the case where Majorana bound states (MBSs) are immobile,…

介观与纳米尺度物理 · 物理学 2015-09-22 Fabio L. Pedrocchi , David P. DiVincenzo

We provide a current perspective on the rapidly developing field of Majorana zero modes in solid state systems. We emphasize the theoretical prediction, experimental realization, and potential use of Majorana zero modes in future…

强关联电子 · 物理学 2015-11-09 Sankar Das Sarma , Michael Freedman , Chetan Nayak

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 summarize the key ingredients required for universal topological quantum computation using Majorana zero modes in networks of topological superconductor nanowires. Particular emphasis is placed on the use of both sparse and dense logical…

量子物理 · 物理学 2026-04-07 Philipp Frey , Themba Hodge , Eric Mascot , Stephan Rachel

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

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

Electrons are indivisible elementary particles, yet paradoxically a collection of them can act as a fraction of a single electron, exhibiting exotic and useful properties. One such collective excitation, known as a topological Majorana…

量子物理 · 物理学 2023-04-25 Nikhil Harle , Oles Shtanko , Ramis Movassagh

The Majorana code is an example of a stabilizer code where the quantum information is stored in a system supporting well-separated Majorana Bound States (MBSs). We focus on one-dimensional realizations of the Majorana code, as well as…

介观与纳米尺度物理 · 物理学 2015-10-09 Fabio L. Pedrocchi , N. E. Bonesteel , David P. DiVincenzo

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 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

Braiding of non-Abelian Majorana anyons is a first step towards using them in quantum computing. We propose a protocol for braiding Majorana zero modes formed at the edges of nanowires with strong spin orbit coupling and proximity induced…

介观与纳米尺度物理 · 物理学 2018-05-22 Pranay Gorantla , Rajdeep Sensarma

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

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…

介观与纳米尺度物理 · 物理学 2020-03-18 Christina Knapp , Jukka I. Väyrynen , Roman M. Lutchyn

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

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

One-dimensional topological superconductors are known to host Majorana zero modes at domain walls terminating the topological phase. Their nonabelian nature allows for processing quantum information by braiding operations which are…

介观与纳米尺度物理 · 物理学 2013-11-27 Torsten Karzig , Gil Refael , Felix von Oppen

Majorana mode based topological qubits are potentially subject to diabatic errors that in principle can limit the utility of topological quantum computation. Using a combination of analytical and numerical methods we study the diabatic…

超导电性 · 物理学 2019-07-17 Amit Nag , Jay D. Sau

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…

介观与纳米尺度物理 · 物理学 2026-02-11 Cole Peeters , Themba Hodge , Stephan Rachel
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