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In topological quantum computing, unitary operations on qubits are performed by adiabatic braiding of non-Abelian quasiparticles, such as Majorana zero modes, and are protected from local environmental perturbations. In the adiabatic…

介观与纳米尺度物理 · 物理学 2017-08-29 Armin Rahmani , Babak Seradjeh , Marcel Franz

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…

介观与纳米尺度物理 · 物理学 2017-06-23 Alex Matos-Abiague , Javad Shabani , Andrew D. Kent , Geoffrey L. Fatin , Benedikt Scharf , Igor Žutić

Majorana zero modes are localized quasiparticles that obey non-Abelian exchange statistics. Braiding Majorana zero modes forms the basis of topologically protected quantum operations which could in principle significantly reduce qubit…

介观与纳米尺度物理 · 物理学 2019-11-14 Hao Zhang , Dong E. Liu , Michael Wimmer , Leo P. Kouwenhoven

Majorana zero modes are central to the pursuit of fault-tolerant topological quantum computation. While traditionally sought in one-dimensional hybrid nanowires, a robust alternative platform involves heterostructures combining…

介观与纳米尺度物理 · 物理学 2026-05-11 A. S. Slobodskoi , S. S. Apostoloff , I. S. Burmistrov

Liquid crystalline defects in 3D can be viewed as geometric spinors, whose emergent properties are reminiscent of those of topological excitations in quantum condensed matter, such as Majorana quasiparticles. However, it is unclear how deep…

软凝聚态物质 · 物理学 2026-04-02 A. I. Tóth , G. Negro , A. D. Huxley , D. Marenduzzo

We propose controlling the hybridization between Majorana zero modes at the ends of magnetic adatom chains on superconductors by an additional magnetic adatom deposited close by. By tuning the additional adatom's magnetization, position,…

介观与纳米尺度物理 · 物理学 2024-08-20 Oladunjoye A. Awoga , Ioannis Ioannidis , Archana Mishra , Martin Leijnse , Mircea Trif , Thore Posske

Realizing Majorana modes in topological superconductors, i.e., the condensed-matter counterpart of Majorana fermions in particle physics, may lead to a major advance in the field of topologically-protected quantum computation. Here, we…

介观与纳米尺度物理 · 物理学 2022-06-22 Pasquale Marra , Daisuke Inotani , Muneto Nitta

A remarkable property of quantum mechanics in two-dimensional (2D) space is its ability to support "anyons," particles that are neither fermions nor bosons. Theory predicts that these exotic excitations can be realized as bound states…

We study the dynamical process of braiding Majorana bound states in the presence of the coupling to photons in a microwave cavity. We show theoretically that the $\pi/4$ phase associated with the braiding of Majoranas, as well as the parity…

介观与纳米尺度物理 · 物理学 2019-06-19 Mircea Trif , Pascal Simon

The braiding of Majorana zero modes (MZMs) forms the fundamental building block for topological quantum computation. Braiding protocols which involve the physical exchange of MZMs are typically envisioned on a network of topological…

介观与纳米尺度物理 · 物理学 2026-02-26 Bill P. Truong , Kartiek Agarwal , T. Pereg-Barnea

Recent experiments have produced mounting evidence of Majorana zero modes in nanowire-superconductor hybrids. Signatures of an expected topological phase transition accompanying the onset of these modes nevertheless remain elusive. We…

介观与纳米尺度物理 · 物理学 2016-06-13 Ryan V. Mishmash , David Aasen , Andrew P. Higginbotham , Jason Alicea

We develop the complete theory for non-Abelian braiding of Majorana Kramers' pairs (MKPs) in time-reversal (TR) invariant topological superconductors. By introducing an effective Hamiltonian approach to describe the braiding of MKPs, we…

超导电性 · 物理学 2016-12-20 Pin Gao , Ying-Ping He , Xiong-Jun Liu

We investigate the transport properties of Majorana zero mode (MZM) and Majorana Kramers pair (MKP) in one-dimensional topological superconductors, respectively. An effective model is established for braiding of MZMs and MKPs. We employ the…

介观与纳米尺度物理 · 物理学 2025-07-08 Hongfa Pan , Zhengtian Li , Jinxiong Jia , Zhenhua Qiao

We propose a method to prepare Majorana pairs at the corners of imprinted defects on a two-dimensional cold atom optical lattice with $s$-wave superfluid pairing. Different from previous proposals that manipulate the effective Dirac masses,…

量子气体 · 物理学 2021-01-20 Ya-Jie Wu , Xi-Wang Luo , Junpeng Hou , Chuanwei Zhang

Robustness of edge states and non-Abelian excitations of topological states of matter promises quantum memory and quantum processing, which is naturally immune against microscopic imperfections such as static disorder. However, topological…

量子物理 · 物理学 2015-10-21 Ying Hu , Zi Cai , Mikhail A. Baranov , Peter Zoller

We introduce a scheme for preparation, manipulation, and readout of Majorana zero modes in semiconducting wires with mesoscopic superconducting islands. Our approach synthesizes recent advances in materials growth with tools commonly used…

In this paper we find that confining a second-order topological superconductor with a harmonic potential leads to a proliferation of Majorana corner modes. As a consequence, this results in the formation of Majorana corner flat bands which…

超导电性 · 物理学 2020-03-05 Majid Kheirkhah , Yuki Nagai , Chun Chen , Frank Marsiglio

We propose a platform for braiding Majorana non-Abelian anyons based on a heterostructure between a $d$-wave high-$T_c$ superconductor and a quantum spin-Hall insulator. It has been recently shown that such a setup for a quantum spin-Hall…

介观与纳米尺度物理 · 物理学 2021-07-30 Matthew F. Lapa , Meng Cheng , Yuxuan Wang

Recent advances in electron spin resonance techniques have allowed the manipulation of the spin of individual atoms, making magnetic atomic chains on superconducting hosts one of the most promising platform where topological…

Andreev bound states in hybrid superconductor-semiconductor devices can have near-zero energy in the topologically trivial regime as long as the confinement potential is sufficiently smooth. These quasi-Majorana states show zero-bias…

介观与纳米尺度物理 · 物理学 2019-11-13 A. Vuik , B. Nijholt , A. R. Akhmerov , M. Wimmer