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Demonstration of non-Abelian statistics of Majorana bound states (MBS) is crucial for the realization of fault-tolerant topological quantum computation. Two-dimensional platforms such as planar Josephson junctions require an in-plane…

超导电性 · 物理学 2025-07-08 Pankaj Sharma , Narayan Mohanta

We provide a current perspective on the rapidly developing field of Majorana zero modes in solid state systems. We emphasize the theoretical prediction, experimental realization, and potential use of Majorana zero modes in future…

强关联电子 · 物理学 2015-11-09 Sankar Das Sarma , Michael Freedman , Chetan Nayak

We theoretically study the transport properties in the T-shaped double-quantum-dot structure, by introducing the Majorana bound state (MBS) to couple to the dot in the main channel. It is found that the side-coupled dot governs the effect…

介观与纳米尺度物理 · 物理学 2022-04-15 Wei-Jiang Gong , Yu-Hang Xue , Xiao-Qi Wang , Lian-Lian Zhang , Guang-Yu Yi

The non-Abelian statistics of Majorana zero modes (MZMs) are central to fault-tolerant topological quantum computing. Planar Josephson junctions provide a particularly versatile platform for realizing robust topological superconductivity…

超导电性 · 物理学 2026-01-29 Richang Huang , Yongliang Hu , Xianzhang Chen , Peng Yu , Siwei Tan , Igor Zutic , Tong Zhou

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

Braiding of Majorana states demonstrates their non-Abelian exchange statistics. One implementation of braiding requires control of the pairwise couplings between all Majorana states in a trijunction device. To have adiabaticity, a…

介观与纳米尺度物理 · 物理学 2024-02-14 Juan Daniel Torres Luna , Sathish R. Kuppuswamy , Anton R. Akhmerov

To observe Majorana bound states, and especially to use them as a qubit, requires careful optimization of competing quality metrics. We systematically compare Majorana quality in proximitized semiconductor nanowires and quantum dot chains.…

We propose and theoretically investigate an alternative way to create the poor man's Majorana bound states (MBSs) introduced in Phys. Rev. B 86, 134528 (2012). Our proposal is based on two quantum dots (QDs) with strong electron-electron…

介观与纳米尺度物理 · 物理学 2022-11-29 Athanasios Tsintzis , Rubén Seoane Souto , Martin Leijnse

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

Exchanging the positions of two non-Abelian anyons transforms between many-body wavefunctions within a degenerate ground-state manifold. This behavior is fundamentally distinct from fermions, bosons and Abelian anyons. Recently, quantum…

介观与纳米尺度物理 · 物理学 2026-02-26 Sebastian Miles , Francesco Zatelli , A. Mert Bozkurt , Michael Wimmer , Chun-Xiao Liu

We study a chain of magnetic impurities on a conventional superconductor with spin-orbit coupling, treating the superconducting order fully self-consistently. We find and quantify strong hybridization between the topological edge Majorana…

超导电性 · 物理学 2019-12-11 Andreas Theiler , Kristofer Björnson , Annica M. Black-Schaffer

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

We simulate the non-Abelian exchange of Majorana zero modes (MZMs) on a quantum computer. Rather than utilizing MZMs at the boundaries of quantum Ising chains, which are typically represented as nonlocal operators on a quantum computer,…

量子物理 · 物理学 2025-07-24 Foster Sabatino , Matthew Brooks , Charles Tahan , Silas Hoffman

We describe Majorana edge states of a semi-infinite wire using the complex band structure approach. In this method the edge state at a given energy is built as a superposition of evanescent waves. It is shown that the superposition can not…

介观与纳米尺度物理 · 物理学 2013-02-27 Llorenç Serra

Majorana-based quantum computation seeks to encode information non-locally in pairs of Majorana zero modes, thereby isolating qubit states from a local noisy environment. In addition to long coherence times, the attractiveness of…

介观与纳米尺度物理 · 物理学 2020-03-18 Christina Knapp , Jukka I. Väyrynen , Roman M. Lutchyn

Majorana zero modes are quasiparticle excitations in condensed matter systems that have been proposed as building blocks of fault-tolerant quantum computers [1]. They are expected to exhibit non-Abelian particle statistics, in contrast to…

介观与纳米尺度物理 · 物理学 2016-03-18 S. M. Albrecht , A. P. Higginbotham , M. Madsen , F. Kuemmeth , T. S. Jespersen , J. Nygård , P. Krogstrup , C. M. Marcus

We investigate a system of Majorana box qubits, where each of the Coulomb blockaded boxes is driven by an applied AC voltage and is embedded in a dissipative environment. The AC voltage is applied between a pair of quantum dots, each of…

介观与纳米尺度物理 · 物理学 2024-04-08 Kunmin Wu , Sadeq S. Kadijani , Thomas L. Schmidt

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 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…

介观与纳米尺度物理 · 物理学 2012-10-22 Jong Soo Lim , Llorens Serra , Rosa Lopez , Ramon Aguado

Majorana fermions are fascinating and not yet confirmed quasiparticles in condensed matter physics. Here we propose using microwave spectra to distinguish Majorana bound states (MBSs) from topological trivial Andreev bound states. By…

量子物理 · 物理学 2018-03-14 Zhen-Tao Zhang