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One of the main challenges for quantum computation is that while the number of gates required to perform a non-trivial quantum computation may be very large, decoherence and errors in realistic quantum architectures limit the number of…

量子物理 · 物理学 2020-06-24 Alan Tran , Alex Bocharov , Bela Bauer , Parsa Bonderson

Topological qubits composed of unpaired Majorana zero-modes are under intense experimental and theoretical scrutiny in efforts to realize practical quantum computation schemes. In this work, we show the minimum four \textit{unpaired}…

量子物理 · 物理学 2024-01-19 Adipta Pal , Joe H. Winter , Ashley M. Cook

Majorana fermions subject to the non-Abelian braid group are believed to be the basic ingredients of future topological quantum computations. In this work, we propose to simulate Majorana fermions of the Kitaev model in electric circuits…

介观与纳米尺度物理 · 物理学 2020-08-13 Motohiko Ezawa

The creation of topological quantum gates using Majorana zero modes -- an outstanding problem in the field of topological quantum computing -- relies on our ability to control the braiding process of these particles in time and space. Here,…

介观与纳米尺度物理 · 物理学 2023-02-13 Jasmin Bedow , Eric Mascot , Themba Hodge , Stephan Rachel , Dirk K. Morr

Braiding of anyons such as Majoranas or parafermions provides only Clifford gates which do not form a universal set of quantum gates. We propose a robust and resource-efficient scheme to perform a non-Clifford gate on a logical qudit…

量子物理 · 物理学 2019-10-18 Arpit Dua , Boris Malomed , Meng Cheng , Liang Jiang

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…

量子物理 · 物理学 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…

Topological superconductivity could host quasiparticles that are key candidates for fault-tolerant quantum computation due to their immunity to noise as they obey non-Abelian exchange statistics. For example, in the case of Majorana Zero…

量子物理 · 物理学 2026-03-09 Rahul Singh , Weixin Lu , Kaelyn J Ferris , Javad Shabani

Electrons are indivisible elementary particles, yet paradoxically a collection of them can act as a fraction of a single electron, exhibiting exotic and useful properties. One such collective excitation, known as a topological Majorana…

量子物理 · 物理学 2023-04-25 Nikhil Harle , Oles Shtanko , Ramis Movassagh

We suggest a way to overcome the obstacles that disorder and high density of states pose to the creation of unpaired Majorana fermions in one-dimensional systems. This is achieved by splitting the system into a chain of quantum dots, which…

介观与纳米尺度物理 · 物理学 2015-10-12 Ion C. Fulga , Arbel Haim , Anton R. Akhmerov , Yuval Oreg

In a recent breakthrough experiment [Nature (London) 614, 445 (2023)], signatures of Majorana zero modes have been observed in tunnel spectroscopy for a minimal Kitaev chain constructed from coupled quantum dots. However, as Ising anyons,…

介观与纳米尺度物理 · 物理学 2023-08-31 Chun-Xiao Liu , Haining Pan , F. Setiawan , Michael Wimmer , Jay D. Sau

Contemporary quantum devices are reaching new limits in size and complexity, allowing for the experimental exploration of emergent quantum modes. However, this increased complexity introduces significant challenges in device tuning and…

Topological quantum computing promises intrinsic fault tolerance by encoding quantum information in non-Abelian anyons, where quantum gates are implemented via braiding. While braiding operations are robust against local perturbations, a…

量子物理 · 物理学 2025-08-15 Themba Hodge , Philipp Frey , Stephan Rachel

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…

强关联电子 · 物理学 2019-07-10 Bela Bauer , T. Pereg-Barnea , Torsten Karzig , Maria-Theresa Rieder , Gil Refael , Erez Berg , Yuval Oreg

Braiding and fusion of Majorana zero modes are key elements of any future topological Majorana-based quantum computer. Here, we investigate the fusion dynamics of Majorana zero modes in the spinless Kitaev model, as well as in a spinful…

介观与纳米尺度物理 · 物理学 2026-01-23 Themba Hodge , Tuan Kieu , Jasmin Bedow , Eric Mascot , Dirk K. Morr , Stephan Rachel

Topological quantum computing is based on the notion of braiding non-Abelian anyons, such as Majorana zero modes (MZMs), to perform gate operations. A crucial building block of these protocols is the adiabatic shuttling of MZMs through…

介观与纳米尺度物理 · 物理学 2023-03-28 Bill P. Truong , Kartiek Agarwal , T. Pereg-Barnea

We have studied ${\rm SU}(2)_k$ anyon models, assessing their prospects for topological quantum computation. In particular, we have compared the Ising ($k=2$) anyon and Fibonacci ($k=3$) anyon models, motivated by their potential for future…

量子物理 · 物理学 2021-03-10 Emil Génetay Johansen , Tapio Simula

Quantum gates in topological quantum computation are performed by braiding non-Abelian anyons. These braiding processes can presumably be performed with very low error rates. However, to make a topological quantum computation architecture…

量子物理 · 物理学 2016-04-22 Adrian Hutter , James R. Wootton

Artificial Kitaev chains have emerged as a promising platform for realizing topological quantum computing. Once the chains are formed and the Majorana zero modes are braided/fused, reading out the parity of the chains is essential for…

Recent advances in quantum dot platforms have opened new pathways for realizing Majorana zero modes (MZMs) and simulating topological quantum computation. Here we propose an experimentally feasible setup for implementing topological…

强关联电子 · 物理学 2025-09-22 Bradraj Pandey , Satoshi Okamoto , Pontus Laurell , Stephan Rachel , Elbio Dagotto