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We introduce exactly solvable models of interacting (Majorana) fermions in $d \ge 3$ spatial dimensions that realize a new kind of topological quantum order, building on a model presented in ref. [1]. These models have extensive topological…

Strongly Correlated Electrons · Physics 2015-12-30 Sagar Vijay , Jeongwan Haah , Liang Fu

A topological insulator nanowire, proximity-coupled to an ordinary bulk s-wave superconductor and subject to a longitudinal applied magnetic field, is shown to realize a one-dimensional topological superconductor with unpaired Majorana…

Mesoscale and Nanoscale Physics · Physics 2011-11-17 A. Cook , M. Franz

Quantum computers could perform certain tasks which no classical computer can perform in acceptable times. Josephson junction circuits can serve as building blocks of quantum computers. We discuss and compare two designs, which employ…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Yuriy Makhlin , Gerd Schoen , Alexander Shnirman

Majorana fermions are promising candidates for storing and processing information in topological quantum computation. The ability to control such individual information carriers in trapped ultracold atomic Fermi gases is a novel theme in…

Quantum Gases · Physics 2013-01-21 Xia-Ji Liu , P. D. Drummond

We show how a chiral Dirac fermion (a massless electron or hole) can be converted into a pair of neutral chiral Majorana fermions (a particle equal to its own antiparticle). These two types of fermions exist on the metallic surface of a…

Mesoscale and Nanoscale Physics · Physics 2009-05-28 A. R. Akhmerov , Johan Nilsson , C. W. J. Beenakker

Solid-state qubits incorporating quantum dots can be read out by gate reflectometry. Here, we theoretically describe physical mechanisms that render such reflectometry-based readout schemes imperfect. We discuss charge qubits,…

Mesoscale and Nanoscale Physics · Physics 2021-01-04 Vahid Derakhshan Maman , M. F. Gonzalez-Zalba , András Pályi

Topological superconductors which support Majorana fermions are thought to be realized in one-dimensional semiconducting wires coupled to a superconductor. Such excitations are expected to exhibit non-Abelian statistics and can be used to…

Mesoscale and Nanoscale Physics · Physics 2015-03-20 Leonid P. Rokhinson , Xinyu Liu , Jacek K. Furdyna

We study the low-energy transport properties of a hybrid device composed by a native quantum dot coupled to both ends of a topological superconducting nanowire section hosting Majorana zero-modes. The account of the coupling between the dot…

Mesoscale and Nanoscale Physics · Physics 2020-10-14 L. S. Ricco , Y. Marques , J. E. Sanches , I. A. Shelykh , A. C. Seridonio

Quantum tomography is an important tool for the characterisation of quantum operations. In this paper, we present a framework of quantum tomography in fermionic systems. Compared with qubit systems, fermions obey the superselection rule,…

Quantum Physics · Physics 2021-02-02 Gang Zhang , Mingxia Huo , Ying Li

A tunneling junction between normal electrode and a topological superconducting wire, mediated by a quantum dot, is considered theoretically. We show that the presence of the dot in the junction can be advantageous to Majorana zero modes…

Mesoscale and Nanoscale Physics · Physics 2023-09-06 Piotr Stefański

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…

Strongly Correlated Electrons · Physics 2019-07-10 Bela Bauer , T. Pereg-Barnea , Torsten Karzig , Maria-Theresa Rieder , Gil Refael , Erez Berg , Yuval Oreg

We propose a platform based on a fully compensated ferrimagnet (fFIM) for realizing and controlling topological superconductivity with Majorana bound states across multiple dimensions. Through symmetry analysis and microscopic modeling, we…

Superconductivity · Physics 2025-04-29 Yu-Xuan Li , Yicheng Liu , Cheng-Cheng Liu

Because Majorana zero modes store quantum information non-locally, they are protected from noise, and have been proposed as a building block for a quantum computer. We show how to use the same protection from noise to implement universal…

Quantum Physics · Physics 2018-06-05 T. E. O'Brien , P. Rożek , A. R. Akhmerov

The key obstacle to the realization of a scalable quantum computer is overcoming environmental and control errors. Topological quantum computation has attracted great attention because it has emerged as one of the most promising approaches…

Mesoscale and Nanoscale Physics · Physics 2023-09-12 Deyuan Zou , Naiqiao Pan , Tian Chen , Houjun Sun , Xiangdong Zhang

Semiconductor-s-type superconductor nanowires host spinful fermions and cannot be reduced to a single spinless Kitaev chain hosting single Majorana zero mode. Instead, such systems can be converted into two coupled p-wave Kitaev-like chains…

Mesoscale and Nanoscale Physics · Physics 2026-01-28 Mijanur Islam , Mahan Mohseni , Ibsal Assi , Daniel Miravet , Pawel Hawrylak

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…

Mesoscale and Nanoscale Physics · Physics 2016-08-02 Sonika Johri , Rahul Nandkishore

The realization of quantum gates in topological quantum computation still confronts significant challenges in both fundamental and practical aspects. Here, we propose a deterministic and fully topologically protected measurement-based…

Mesoscale and Nanoscale Physics · Physics 2024-09-10 Su-Qi Zhang , Jian-Song Hong , Yuan Xue , Xun-Jiang Luo , Li-Wei Yu , Xiong-Jun Liu , Xin Liu

Semiconductor quantum dots (QDs) are a promising platform for multiple different qubit implementations, all of which are voltage controlled by programmable gate electrodes. However, as the QD arrays grow in size and complexity, tuning…

We study the coupling between a singlet-triplet qubit realized in a double quantum dot to a topological qubit realized by spatially well-separated Majorana bound states. We demonstrate that the singlet-triplet qubit can be leveraged for…

Mesoscale and Nanoscale Physics · Physics 2019-04-24 Marko J. Rančić , Silas Hoffman , Constantin Schrade , Jelena Klinovaja , Daniel Loss

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…

Mesoscale and Nanoscale Physics · Physics 2019-11-27 Eric Mascot , Sagen Cocklin , Stephan Rachel , Dirk K. Morr