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Due to their nonlocality, qubits nested in Majorana bound states may be the key to realize decoherence-free quantum computation. Majorana bound states could be achieved at the ends of a one-dimensional topological superconductor. However,…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Hai-Feng Lu , Hai-Zhou Lu , Shun-Qing Shen

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

Topological quantum states of matter, both Abelian and non-Abelian, are characterized by excitations whose wavefunctions undergo non-trivial statistical transformations as one excitation is moved (braided) around another. Topological…

Quantum Physics · Physics 2009-11-13 Chuanwei Zhang , V. W. Scarola , Sumanta Tewari , S. Das Sarma

We propose and analyze a family of periodic braiding protocols in systems with multiple localized Majorana modes ($\textit{majoranas}$) for the purposes of Hamiltonian engineering. The protocols rely on double braids$-\textit{draids}-$which…

Mesoscale and Nanoscale Physics · Physics 2021-01-04 Ivar Martin , Kartiek Agarwal

We propose and analyze theoretically an experimental setup for detecting the elusive Majorana particle in semiconductor-superconductor heterostructures. The experimental system consists of one-dimensional semiconductor wire with strong…

Superconductivity · Physics 2010-08-16 Roman M. Lutchyn , Jay D. Sau , S. Das Sarma

We study the possibility to realize Majorana zero mode that's robust and may be easily manipulated for braiding in quantum computing in the ground state of the Kitaev model in this work. To achieve this we first apply a uniform [111]…

Strongly Correlated Electrons · Physics 2021-12-13 Lu Yang , Jia-Xing Zhang , Shuang Liang , Wei Chen , Qiang-Hua Wang

Majorana fermions are long-sought exotic particles that are their own antiparticles. Here we propose to utilize superconducting circuits to construct two superconducting-qubit arrays where Majorana modes can occur. A so-called Majorana…

Superconductivity · Physics 2014-09-23 J. Q. You , Z. D. Wang , Wenxian Zhang , Franco Nori

In this work we perform real time simulations for the dynamics of braiding a pair of Majorana zero modes (MZMs) through a quantum dot in a minimal setup of pure 1D realization. We reveal the strong nonadiabatic effect when the dot energy…

Mesoscale and Nanoscale Physics · Physics 2023-09-26 Luting Xu , Jing Bai , Wei Feng , Xin-Qi Li

Avenues of Majorana bound states (MBSs) have become one of the primary directions towards a possible realization of topological quantum computation. For a Y-junction of Kitaev quantum wires, we numerically investigate the braiding of MBSs…

Mesoscale and Nanoscale Physics · Physics 2017-09-27 Michael Sekania , Stephan Plugge , Martin Greiter , Ronny Thomale , Peter Schmitteckert

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

Each end of a Kitaev chain in topological phase hosts a Majorana fermion. Zero bias conductance peak is an evidence of Majorana fermion when the two Majorana fermions are decoupled. These two Majorana fermions are separated in space and…

Mesoscale and Nanoscale Physics · Physics 2019-09-17 Abhiram Soori

We investigate theoretically the features of the Majorana hallmark in the presence of Coulomb repulsion between two quantum dots describing a spinless Aharonov-Bohm-like interferometer, where one of the dots is strongly coupled to a Kitaev…

Strongly Correlated Electrons · Physics 2015-12-14 L. S. Ricco , Y. Marques , F. A. Dessotti , M. de Souza , A. C. Seridonio

In recent years, experimental advances have made it possible to achieve an unprecedented degree of control over the properties of subgap bound states in hybrid nanoscale superconducting structures. This research has been driven by the…

Mesoscale and Nanoscale Physics · Physics 2024-10-03 Rubén Seoane Souto , Ramón Aguado

Semiconductor nanowires provide an ideal platform for various low-dimensional quantum devices. In particular, topological phases of matter hosting non-Abelian quasi-particles can emerge when a semiconductor nanowire with strong spin-orbit…

Majorana fermions are predicted to arise at the ends of nanowire devices which combine superconductivity, strong spin-orbit coupling and an external magnetic field. By manipulating networks of these devices with suitable gating, it has been…

Mesoscale and Nanoscale Physics · Physics 2020-01-03 Fenner Harper , Aakash Pushp , Rahul Roy

Recent advances in electron spin resonance techniques have allowed the manipulation of the spin of individual atoms, making magnetic atomic chains on superconducting hosts one of the most promising platform where topological…

Two semiconducting quantum dots (QDs) coupled through a superconductor constitute a minimal realisation of a Kitaev chain with Majorana zero modes (MZMs). Such MZMs can be detected by e.g., tunneling conductance between each QD and normal…

Mesoscale and Nanoscale Physics · Physics 2025-07-30 Miguel Alvarado , Alfredo Levy Yeyati , Ramón Aguado , Rubén Seoane Souto

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

Here we show the first experimental implementation of the fully general Kitaev chain with complex-valued order parameter $\Delta$ and site-varying synthetic chemical potential $\mu$, using a passive multilayer acoustic resonator design and…

Mesoscale and Nanoscale Physics · Physics 2025-10-31 Jackson Saunders , Emil Prodan , Camelia Prodan

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
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