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Topological orders have been intrinsically identified in a class of systems such as fractional quantum Hall states and spin liquids. Accessing such states often requires extreme conditions such as low temperatures, high magnetic fields,…

Superconductivity · Physics 2022-05-09 Fatemeh Mohammadi , Mehdi Kargarian

Obeying non-Abelian statistics, Majorana fermions holds a promise to implement fault-tolerant quantum computing. It was found that Majorana fermions can be simulated by the zero-energy excitation in a nanowire with strong spin-orbit…

Quantum Physics · Physics 2024-05-24 Ming-Jian Gao , Yu-Peng Ma , Jun-Hong An

The idea of topological quantum computation is to build powerful and robust quantum computers with certain macroscopic quantum states of matter called topologically ordered states. These systems have degenerate ground states that can be…

Mesoscale and Nanoscale Physics · Physics 2014-11-25 Maissam Barkeshli , Xiao-Liang Qi

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

Topological quantum computations can be implemented with local Majorana zero modes. To simplify manipulations, one can use Majorana edge states in gapped two-dimensional systems. Here we demonstrate how this approach can be used for a…

Quantum Physics · Physics 2023-02-21 Igor Timoshuk , Yuriy Makhlin

We study the low-energy transport properties of a hybrid device composed by a native quantum dot coupled to both ends of a topological superconducting nanowire section hosting Majorana zero-modes. The account of the coupling between the dot…

Mesoscale and Nanoscale Physics · Physics 2020-10-14 L. S. Ricco , Y. Marques , J. E. Sanches , I. A. Shelykh , A. C. Seridonio

We propose to use the recently predicted two-dimensional `weak-pairing' $p_x + ip_y$ superfluid state of fermionic cold atoms as a platform for topological quantum computation. In the core of a vortex, this state supports a zero-energy…

Quantum Physics · Physics 2007-05-23 Sumanta Tewari , S. Das Sarma , Chetan Nayak , Chuanwei Zhang , P. Zoller

Quantum computing architectures are on the verge of scalability, a key requirement for the implementation of a universal quantum computer. The next stage in this quest is the realization of quantum error correction codes, which will…

Majorana fermions and their generalizations to $\mathbb{Z}_n$ parafermions are considered promising building blocks of fault-tolerant quantum computers for their ability to encode quantum information nonlocally. In such topological quantum…

Quantum Physics · Physics 2025-09-05 Ali Hamed Safwan , Raditya Weda Bomantara

We discuss the scalability of superconducting quantum computers, especially in a wiring problem. The number of wiring inside a cryostat is almost proportional to the number of qubits in current wiring architectures. We introduce regularity,…

Quantum Physics · Physics 2021-06-22 Yutaka Tabuchi , Shuhei Tamate , Shinichi Yorozu

Topological quantum computation based on Majorana objects is subject to a significant challenge because at least some of the two-qubit quantum gates rely on the fermion (either charge or spin) parity of the qubits. This dependency renders…

Quantum Physics · Physics 2024-08-14 Ye-Min Zhan , Guan-Dong Mao , Yu-Ge Chen , Yue Yu , Xi Luo

Majorana zero modes, the elementary building blocks for the quantum bits of topological quantum computers, are known to suffer from hybridization as their wavefunctions begin to overlap. This breaks the ground state degeneracy, splitting…

Mesoscale and Nanoscale Physics · Physics 2026-02-11 Cole Peeters , Themba Hodge , Stephan Rachel

We calculate the topological boundary modes found for quantum wire for a quantum ring. For the symmetric ring we find analytical solutions for two quasi-particles identifiable as the Majorana states and for asymmetric ring, we have also…

Quantum Physics · Physics 2018-11-16 Yue Yu , Kwok Yip Szeto

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

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

We investigate the dynamics of a charge qubit consisting of two Coulomb-blockaded islands hosting Majorana zero modes. The frequency of the qubit is determined by coherent single-electron tunneling between two islands originating from the…

Mesoscale and Nanoscale Physics · Physics 2021-06-02 Jukka I. Väyrynen , Dmitry I. Pikulin , Roman M. Lutchyn

High fidelity quantum information processing requires a combination of fast gates and long-lived quantum memories. In this work, we propose a hybrid architecture, where a parity-protected superconducting qubit is directly coupled to a…

Mesoscale and Nanoscale Physics · Physics 2022-11-22 Luca Chirolli , Norman Y. Yao , Joel E. Moore

We propose a new scalable platform for quantum computing (QC) -- an array of optically trapped symmetric-top molecules (STMs) of the alkaline earth monomethoxide (MOCH$_3$) family. Individual STMs form qubits, and the system is readily…

Atomic Physics · Physics 2019-10-01 Phelan Yu , Lawrence W. Cheuk , Ivan Kozyryev , John M. Doyle

Surface codes have emerged as promising candidates for quantum information processing. Building on the previous idea to realize the physical qubits of such systems in terms of Majorana bound states supported by topological semiconductor…

Mesoscale and Nanoscale Physics · Physics 2016-02-12 L. A. Landau , S. Plugge , E. Sela , A. Altland , S. M. Albrecht , R. Egger

The key obstacle to the realization of a scalable quantum computer is overcoming environmental and control errors. Topological quantum computation has attracted great attention because it has emerged as one of the most promising approaches…

Mesoscale and Nanoscale Physics · Physics 2023-09-12 Deyuan Zou , Naiqiao Pan , Tian Chen , Houjun Sun , Xiangdong Zhang
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