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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

Constructing a universal operation scheme for Majorana qubits remains a central issue for the topological quantum computation. We study the Landau-Zener-St\"{u}ckelberg interference in a Majorana qubit and show that this interference can be…

Superconductivity · Physics 2015-07-13 Wen-Chao Huang , Qi-Feng Liang , Dao-Xin Yao , Zhi Wang

Majorana bound states have been recently observed at the boundaries of one-dimensional topological superconductors. Yet, controlling the localization of the Majorana states, which is essential to the realization of any topological quantum…

Superconductivity · Physics 2017-11-22 Pasquale Marra , Mario Cuoco

We study a Majorana-carrying quantum wire, driven into a trivial phase by breaking the spatial inversion symmetry with a tilted external magnetic field. Interestingly, we predict that a supercurrent applied in the proximate superconductor…

Mesoscale and Nanoscale Physics · Physics 2013-02-18 Xiong-Jun Liu , Alejandro M. Lobos

The quantum state of a flux qubit was successfully pulse-controlled by using a resonant microwave. We observed Ramsey fringes by applying a pair of phase-shifted pi/2 microwave pulses without introducing detuning. With this method, the…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Tatsuya Kutsuzawa , Shiro Saito , Hirotaka Tanaka , Hayato Nakano , Kouichi Semba , Hideaki Takayanagi

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

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

The simple resonant Rabi oscillation of a two-level system in a single-mode coherent field reveals complex features at the mesoscopic scale, with oscillation collapses and revivals. Using slow circular Rydberg atoms interacting with a…

Quantum Physics · Physics 2019-10-09 F. Assemat , D. Grosso , A. Signoles , A. Facon , I. Dotsenko , S. Haroche , J. M. Raimond , M. Brune , S. Gleyzes

This is a tutorial review of methods to braid the world lines of non-Abelian anyons (Majorana zero-modes) in topological superconductors. That "Holy Grail" of topological quantum information processing has not yet been reached in the…

Mesoscale and Nanoscale Physics · Physics 2020-08-06 C. W. J. Beenakker

Among the list of major threats to quantum computation, quantum decoherence poses one of the largest because it generates losses to the environment within a computational system which cannot be recovered via error correction methods. These…

Quantum Physics · Physics 2022-01-17 Adrian Scheppe , Michael Pak

We investigate the occurrence of Majorana modes in semiconductor quantum wires in close proximity with a superconductor and when both, Rashba interaction and magnetic field, are present. We consider long, but finite, multiband wires…

Mesoscale and Nanoscale Physics · Physics 2012-10-22 Jong Soo Lim , Llorens Serra , Rosa Lopez , Ramon Aguado

The non-Abelian braiding of Majorana fermions is one of the most promising operations providing a key building block for the realization of topological quantum computation. Recently, the chiral Majorana fermions were observed in a hybrid…

Mesoscale and Nanoscale Physics · Physics 2019-05-29 Yan-Feng Zhou , Zhe Hou , Qing-Feng Sun

We investigate the minimal Kitaev spin liquid on a single hexagon with three Ising-type exchange interactions proportional to $K_{x}$, $K_{y}$ and $K_{z}$. In the limit $K_{z}=0$, we find 32-fold zero-energy states, leading to 10 free…

Strongly Correlated Electrons · Physics 2024-01-03 Motohiko Ezawa

One-dimensional topological superconductors are known to host Majorana zero modes at domain walls terminating the topological phase. Their nonabelian nature allows for processing quantum information by braiding operations which are…

Mesoscale and Nanoscale Physics · Physics 2013-11-27 Torsten Karzig , Gil Refael , Felix von Oppen

A versatile control of magnetic systems, widely used to store information, can also enable manipulating Majorana bounds states (MBS) and implementing fault-tolerant quantum information processing. The proposed platform relies on the…

Mesoscale and Nanoscale Physics · Physics 2017-06-23 Alex Matos-Abiague , Javad Shabani , Andrew D. Kent , Geoffrey L. Fatin , Benedikt Scharf , Igor Žutić

We show that resonant coupling and entanglement between a mechanical resonator and majorana bound states can be achieved via spin currents in a 1D quantum wire with strong spin-orbit interactions. The bound states induced by vibrating and…

Mesoscale and Nanoscale Physics · Physics 2014-03-20 Alexey A. Kovalev , Amrit De , Kirill Shtengel

Braiding operations are challenging to create topological quantum computers. It is unclear whether braiding operations can be executed with any materials. Although various calculations based on Majorana fermions show braiding possibilities,…

Mesoscale and Nanoscale Physics · Physics 2021-06-14 Kyoung Hwan Choi , Dong Hack Suh

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 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…

We propose a set of techniques that enable universal quantum computing to be carried out using dressed states. This applies in particular to the effort of realising quantum computation in trapped ions using long-wavelength radiation, where…

Quantum Physics · Physics 2015-05-29 Gatis Mikelsons , Itsik Cohen , Alex Retzker , Martin B. Plenio
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