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Majorana bound states have been proposed as building blocks for qubits on which certain operations can be performed in a topologically protected way using braiding. However, the set of these protected operations is not sufficient to realize…

Mesoscale and Nanoscale Physics · Physics 2013-03-08 Thomas L. Schmidt , Andreas Nunnenkamp , Christoph Bruder

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 microwave-controlled rotations for qubits realized as Majorana bound states. To this end we study an inhomogeneous Kitaev chain in a microwave cavity. The chain consists of two topologically nontrivial regions separated by a…

Mesoscale and Nanoscale Physics · Physics 2013-03-08 Thomas L. Schmidt , Andreas Nunnenkamp , Christoph Bruder

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

We show how a quantum dot with a ballistic single-channel point contact to a superconductor can be created by means of a gate electrode at the edge of a quantum spin Hall insulator (such as an InAs/GaSb quantum well). A weak perpendicular…

Mesoscale and Nanoscale Physics · Physics 2013-06-26 Shuo Mi , D. I. Pikulin , M. Wimmer , C. W. J. Beenakker

We describe designs for the realization of topological Majorana qubits in terms of proximitized topological insulator nanoribbons pierced by a uniform axial magnetic field. This platform holds promise for particularly robust Majorana bound…

Mesoscale and Nanoscale Physics · Physics 2017-04-18 Jan Manousakis , Alexander Altland , Dmitry Bagrets , Reinhold Egger , Yoichi Ando

We study the dynamics of Majorana zero modes that are shuttled via local tuning of the electrochemical potential in a superconducting wire. By performing time-dependent simulations of microscopic lattice models, we show that diabatic…

Mesoscale and Nanoscale Physics · Physics 2018-07-18 Bela Bauer , Torsten Karzig , Ryan V. Mishmash , Andrey E. Antipov , Jason Alicea

With the discovery of Majorana quasiparticles in semiconductor-superconductor hybrid structures, topologically protected qubits have emerged as a promising contender for quantum information processing. While the construction of a universal…

Mesoscale and Nanoscale Physics · Physics 2018-07-26 Alex Thomson , Falko Pientka

We propose a hybrid system composed of a Majorana qubit and a nanomechanical resonator, implemented by a spin-orbit-coupled superconducting nanowire, using a set of static and oscillating ferromagnetic gates. The ferromagnetic gates induce…

Mesoscale and Nanoscale Physics · Physics 2015-09-08 P. Zhang , Franco Nori

The Kitaev chain can be engineered within a quantum dot-superconductor array, hosting Majorana zero modes at fine-tuned sweet spots. In this work, we propose and simulate the occurrence of Rabi and Ramsey oscillations to feasibly construct…

Mesoscale and Nanoscale Physics · Physics 2025-02-13 Haining Pan , Sankar Das Sarma , Chun-Xiao Liu

We propose a systematic magnetic-flux-free approach to detect, manipulate and braid Majorana fermions in a semiconductor nanowire-based topological Josephson junction by utilizing the Majorana spin degree of freedom. We find an intrinsic…

Superconductivity · Physics 2016-07-18 Xin Liu , Xiaopeng Li , Dong-Ling Deng , Xiong-Jun Liu , S. Das Sarma

We investigate the quantum dynamics of a Cooper-pair box with a superconducting loop in the presence of a nonclassical microwave field. We demonstrate the existence of Rabi oscillations for both single- and multi-photon processes and,…

Superconductivity · Physics 2009-11-10 J. Q. You , Franco Nori

Majorana qubits offer a promising way to store and manipulate quantum information by encoding it into the state of Majorana zero modes. As the information is stored in a topological property of the system, local noise cannot lead to…

Mesoscale and Nanoscale Physics · Physics 2015-03-05 Christoph Ohm , Fabian Hassler

The quantum spin Hall edge is predicted to reliably produce Majorana zero modes on the border between magnetic insulator- and superconductor-proximitized regions of the edge. The direction of magnetization determines the size of the induced…

Mesoscale and Nanoscale Physics · Physics 2020-11-11 Dmitry I. Pikulin

We propose a qubit-qubit coupling scheme for superconducting flux quantum bits (qubits), where a quantized Josephson junction resonator and microwave irradiation are utilized. The junction is used as a tunable inductance controlled by…

Superconductivity · Physics 2009-11-13 H. Nakano , K. Kakuyanagi , M. Ueda , K. Semba

In one-dimensional topological superconductors driven periodically with the frequency $\omega$, two types of topological edge modes may appear, the well-known Majorana zero mode and a Floquet Majorana mode located at the quasi-energy $\hbar…

Mesoscale and Nanoscale Physics · Physics 2022-04-11 Anne Matthies , Jinhong Park , Erez Berg , Achim Rosch

We propose and analyze an interface between a topological qubit and a superconducting flux qubit. In our scheme, the interaction between Majorana fermions in a topological insulator is coherently controlled by a superconducting phase that…

Mesoscale and Nanoscale Physics · Physics 2011-04-01 Liang Jiang , Charles L. Kane , John Preskill

We present a theoretical analysis of a Majorana-based qubit consisting of two topological superconducting islands connected via a Josephson junction. The qubit is operated by electrostatic gates which control the coupling of two of the four…

Mesoscale and Nanoscale Physics · Physics 2019-10-29 Tommy Li , William A. Coish , Michael Hell , Karsten Flensberg , Martin Leijnse

We provide a conceptual framework for developing a scalable topological quantum computer. It relies on forming Majorana fermions using circular electronic gates in two-dimensional p-wave superconductors. The gates allow the precise control…

Mesoscale and Nanoscale Physics · Physics 2020-11-19 Ji Ung Lee

Superconducting circuits extensively rely on the Josephson junction as a nonlinear electronic element for manipulating quantum information and mediating photon interactions. Despite continuing efforts in designing anharmonic Josephson…

Quantum Physics · Physics 2020-02-26 Andrei Vrajitoarea , Ziwen Huang , Peter Groszkowski , Jens Koch , Andrew A. Houck
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