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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…

Strongly Correlated Electrons · Physics 2015-11-09 Sankar Das Sarma , Michael Freedman , Chetan Nayak

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…

Mesoscale and Nanoscale Physics · Physics 2020-03-18 Christina Knapp , Jukka I. Väyrynen , Roman M. Lutchyn

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…

Quantum Physics · Physics 2023-04-25 Nikhil Harle , Oles Shtanko , Ramis Movassagh

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…

Mesoscale and Nanoscale Physics · Physics 2018-05-22 Pranay Gorantla , Rajdeep Sensarma

Certain physical systems that one might consider for fault-tolerant quantum computing where qubits do not readily interact, for instance photons, are better suited for measurement-based quantum-computational protocols. Here we propose a…

Quantum Physics · Physics 2020-08-27 Benjamin J. Brown , Sam Roberts

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.…

Mesoscale and Nanoscale Physics · Physics 2024-03-13 Péter Boross , András Pályi

Executing quantum algorithms using Majorana zero modes - a major milestone for the field of topological quantum computing - requires a platform that can be scaled to large quantum registers, can be controlled in real time and space, and a…

Mesoscale and Nanoscale Physics · Physics 2025-03-17 Jasmin Bedow , Dirk K. Morr

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,…

Mesoscale and Nanoscale Physics · Physics 2023-02-13 Jasmin Bedow , Eric Mascot , Themba Hodge , Stephan Rachel , Dirk K. Morr

In this paper we present a hybrid scheme for topological quantum computation in a system of cold atoms trapped in an atomic lattice. A topological qubit subspace is defined using Majorana fermions which emerge in a network of atomic Kitaev…

Quantum Physics · Physics 2014-02-19 C. Laflamme , M. A. Baranov , P. Zoller , C. V. Kraus

Majorana zero modes are quasiparticles that hold promise as building blocks for topological quantum computing. However, the litmus test for their detection, the observation of exotic non-abelian statistics revealed by braiding, has so far…

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

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…

Strongly Correlated Electrons · Physics 2025-09-22 Bradraj Pandey , Satoshi Okamoto , Pontus Laurell , Stephan Rachel , Elbio Dagotto

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…

Mesoscale and Nanoscale Physics · Physics 2021-04-20 Jie Liu , Wenqin Chen , Ming Gong , Yijia Wu , X. C. Xie

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…

Mesoscale and Nanoscale Physics · Physics 2023-12-27 Pasquale Marra , Daisuke Inotani , Muneto Nitta

Majorana fermions hold promise for quantum computation, because their non-Abelian braiding statistics allows for topologically protected operations on quantum information. Topological qubits can be constructed from pairs of well-separated…

Quantum Physics · Physics 2013-07-31 T. Hyart , B. van Heck , I. C. Fulga , M. Burrello , A. R. Akhmerov , C. W. J. Beenakker

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…

Quantum Physics · Physics 2021-06-02 Marek Narozniak , Matthieu Dartiailh , Jonathan P. Dowling , Javad Shabani , Tim Byrnes

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…

Quantum Physics · Physics 2026-03-09 Rahul Singh , Weixin Lu , Kaelyn J Ferris , Javad Shabani

Qubits built out of Majorana zero modes (MZMs) constitute the primary path towards topologically protected quantum computing. Simulating the braiding process of multiple MZMs corresponds to the quantum dynamics of a superconducting…

Quantum Physics · Physics 2023-11-14 Eric Mascot , Themba Hodge , Dan Crawford , Jasmin Bedow , Dirk K. Morr , Stephan Rachel

Majorana zero modes are localized quasiparticles that obey non-Abelian exchange statistics. Braiding Majorana zero modes forms the basis of topologically protected quantum operations which could in principle significantly reduce qubit…

Mesoscale and Nanoscale Physics · Physics 2019-11-14 Hao Zhang , Dong E. Liu , Michael Wimmer , Leo P. Kouwenhoven

Qubits built out of Majorana zero modes (MZMs) have long been theorized as a potential pathway toward fault-tolerant topological quantum computation. Almost unavoidable in these processes is Majorana wavefunction overlap, known as…

Mesoscale and Nanoscale Physics · Physics 2025-03-10 Themba Hodge , Eric Mascot , Dan Crawford , Stephan Rachel
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