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It is shown that Majorana fermions trapped in three vortices in a p-wave superfluid form a qubit in a topological quantum computing (TQC). Several similar ideas have already been proposed: Ivanov [Phys. Rev. Lett. {\bf 86}, 268 (2001)] and…

Quantum Physics · Physics 2015-05-13 Tetsuo Ohmi , Mikio Nakahara

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

Developing a gate-tunable, scalable, and topologically-protectable supercurrent qubit and integrating it into a quantum circuit are crucial for applications in the fields of quantum information technology and topological phenomena. Here we…

Mesoscale and Nanoscale Physics · Physics 2019-05-06 Hong-Seok Kim , Yong-Joo Doh

Initializing the ground state of a quantum bit (qubit) based on Majorana zero modes is one of the most pressing issues for future topological quantum computers. We explore a protocol for initializing such topological qubits based on…

Superconductivity · Physics 2025-02-18 Dan Crawford , Roland Wiesendanger , Stephan Rachel

Ettore Majorana, in his short life, unintendedly has uncovered the most profound problem in quantum computation by his discovery of Majorana fermion, a particle which is its own anti-particle. Owing to its non-Abelian exchange statistics,…

Mesoscale and Nanoscale Physics · Physics 2021-08-25 Nur R. Ayukaryana , Mohammad H. Fauzi , Eddwi H. Hasdeo

Topological excitations, such as Majorana zero modes, are a promising route for encoding quantum information. Topologically protected gates of Majorana qubits, based on their braiding, will require some form of network. Here, we propose to…

Mesoscale and Nanoscale Physics · Physics 2021-04-01 L. C. Contamin , M. R. Delbecq , B. Dou çot , A. Cottet , T. Kontos

Motivated by recent experimental progress towards the measurement and manipulation of Majorana fermions with superconducting circuits, we propose a device interfacing Majorana fermions with circuit quantum electrodynamics. The proposed…

Quantum Physics · Physics 2013-12-04 Clemens Müller , Jérôme Bourassa , Alexandre Blais

Chiral Majorana fermion is a massless self-conjugate fermion which can arise as the edge state of certain two-dimensonal topological matters. It has been theoretically predicted and experimentally observed in a hybrid device of quantum…

Mesoscale and Nanoscale Physics · Physics 2018-10-10 Biao Lian , Xiao-Qi Sun , Abolhassan Vaezi , Xiao-Liang Qi , Shou-Cheng Zhang

We propose a method of encoding a topologically-protected qubit using Majorana fermions in a trapped-ion chain. This qubit is protected against major sources of decoherence, while local operations and measurements can be realized.…

Quantum Physics · Physics 2015-06-03 A. Mezzacapo , J. Casanova , L. Lamata , E. Solano

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

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

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

The experimental realization of Majorana fermions presents an important problem due to their non-Abelian nature and potential exploitation for topological quantum computation. Very recently Sau et al. [arXiv:0907.2239] demonstrated that a…

Strongly Correlated Electrons · Physics 2013-05-29 Jason Alicea

A composite system of Majorana-hosted semiconductor nanowire and superconducting flux qubit is inves- tigated. It is found that the coupling between these two subsystems can be controlled electrically, supplying a convenient method to…

Quantum Physics · Physics 2015-06-12 Zhen-Tao Zhang , Yang Yu

Universal quantum computation (UQC) using Majorana fermions on a 2D topological superconducting (TS) medium remains an outstanding open problem. This is because the quantum gate set that can be generated by braiding of the Majorana fermions…

Mesoscale and Nanoscale Physics · Physics 2010-11-25 Jay D. Sau , Sumanta Tewari , S. Das Sarma

We propose a platform for universal quantum computation that uses conventional $s$-wave superconducting leads to address a topological qubit stored in spatially separated Majorana bound states in a multi-terminal topological superconductor…

Mesoscale and Nanoscale Physics · Physics 2019-01-02 Constantin Schrade , Liang Fu

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

Topological quantum computation provides an elegant way around decoherence, as one encodes quantum information in a non-local fashion that the environment finds difficult to corrupt. Here we establish that one of the key…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 Jason Alicea , Yuval Oreg , Gil Refael , Felix von Oppen , Matthew P. A. Fisher

Topological quantum computation by way of braiding of Majorana fermions is not universal quantum computation. There are several attempts to make universal quantum computation by introducing some additional quantum gates or quantum states.…

Quantum Physics · Physics 2024-07-12 Motohiko Ezawa
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