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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

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

In topological quantum computing, unitary operations on qubits are performed by adiabatic braiding of non-Abelian quasiparticles, such as Majorana zero modes, and are protected from local environmental perturbations. In the adiabatic…

Mesoscale and Nanoscale Physics · Physics 2017-08-29 Armin Rahmani , Babak Seradjeh , Marcel Franz

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…

Quantum Physics · Physics 2026-04-07 Philipp Frey , Themba Hodge , Eric Mascot , Stephan Rachel

We discuss a network of Kitaev wires coupled to several individually-tunable quantum dots as an extension of the recent experiments on a quantum dot coupled to a nanowire hosting Majorana zero modes [Deng et al. Science 354 1557 (2016) and…

Mesoscale and Nanoscale Physics · Physics 2018-10-24 Corneliu Malciu , Leonardo Mazza , Christophe Mora

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

Quantum information protected by the topology of the storage medium is expected to exhibit long coherence times. Another feature are topologically protected gates generated through braiding of Majorana bound states. However, braiding…

Mesoscale and Nanoscale Physics · Physics 2017-01-16 Stephan Plugge , Asbjørn Rasmussen , Reinhold Egger , Karsten Flensberg

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

The realization and manipulation of Majorana zero modes have drawn significant attention for their crucial role in enabling topological quantum computation. Conventional approaches to the braiding of Majorana zero modes rely on adiabatic…

Quantum Physics · Physics 2026-01-28 Fei Yu , P. Z. Zhao , Jiangbin Gong

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

Topological qubits composed of unpaired Majorana zero-modes are under intense experimental and theoretical scrutiny in efforts to realize practical quantum computation schemes. In this work, we show the minimum four \textit{unpaired}…

Quantum Physics · Physics 2024-01-19 Adipta Pal , Joe H. Winter , Ashley M. Cook

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

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…

Superconductivity · Physics 2021-02-16 Takumi Sanno , Shunsuke Miyazaki , Takeshi Mizushima , Satoshi Fujimoto

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

We introduce a scheme for preparation, manipulation, and readout of Majorana zero modes in semiconducting wires with mesoscopic superconducting islands. Our approach synthesizes recent advances in materials growth with tools commonly used…

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

I point out that a possible minimal setting to realize Kitaev's proposal of a Topological Quantum Computation which offers topological protection from decoherence could in principle be realized by braided Majorana qubits. Majorana qubits…

Quantum Physics · Physics 2025-12-12 Francesco Toppan

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

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…

The braiding of Majorana zero modes (MZMs) forms the fundamental building block for topological quantum computation. Braiding protocols which involve the physical exchange of MZMs are typically envisioned on a network of topological…

Mesoscale and Nanoscale Physics · Physics 2026-02-26 Bill P. Truong , Kartiek Agarwal , T. Pereg-Barnea
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