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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

Superconductors hosting long-sought excitations called Majorana fermions may be ultimately used as qubits of fault-tolerant topological quantum computers. A crucial challenge toward the topological quantum computer is to implement quantum…

介观与纳米尺度物理 · 物理学 2015-06-03 Cássio Sozinho Amorim , Kazuto Ebihara , Ai Yamakage , Yukio Tanaka , Masatoshi Sato

We examine the response of a system localized by disorder to a time dependent local perturbation which varies smoothly with a characteristic timescale $\tau$. We find that such a perturbation induces a non-local response, involving a…

无序系统与神经网络 · 物理学 2015-07-23 Vedika Khemani , Rahul Nandkishore , S. L. Sondhi

Topological quantum computation provides an elegant way around decoherence, as one encodes quantum information in a non-local fashion that the environment finds difficult to corrupt. Here we establish that one of the key…

介观与纳米尺度物理 · 物理学 2015-05-19 Jason Alicea , Yuval Oreg , Gil Refael , Felix von Oppen , Matthew P. A. Fisher

The study of quasiparticle dynamics is central to understanding non-equilibrium phenomena in quantum many-body systems. Direct simulation of such dynamics on quantum hardware has been limited by circuit depth and noise constraints. In this…

强关联电子 · 物理学 2025-11-06 Yuxiao Hang , Rosa Di Felice , Aiichiro Nakano , Stephan Haas

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

The boundary of topological superconductors might lead to the appearance of Majorana edge modes, whose non-trivial exchange statistics can be used for topological quantum computing. In branched nanowire networks one can exchange Majorana…

介观与纳米尺度物理 · 物理学 2020-09-09 C. Tutschku , R. W. Reinthaler , C. Lei , A. H. MacDonald , E. M. Hankiewicz

A composite system of Majorana-hosted semiconductor nanowire and superconducting flux qubit is inves- tigated. It is found that the coupling between these two subsystems can be controlled electrically, supplying a convenient method to…

量子物理 · 物理学 2015-06-12 Zhen-Tao Zhang , Yang Yu

Detection and manipulation of excitations with non-Abelian statistics, such as Majorana fermions, are essential for creating topological quantum computers. To this end, we show the connection between the existence of such localized…

强关联电子 · 物理学 2020-10-15 Oles Shtanko , Ramis Movassagh

Vortices of several condensed matter systems are predicted to have zero-energy core excitations which are Majorana fermions. These exotic quasi-particles are neutral, massless, and expected to have non-Abelian statistics. Furthermore, they…

强关联电子 · 物理学 2011-11-02 Yaacov E. Kraus , Ady Stern

The non-Abelian statistics of Majorana fermions, their role in topological quantum computation, and the possibility of realizing them in condensed matter systems, has attracted considerable attention. While there have been recent reports of…

强关联电子 · 物理学 2016-02-24 David Nozadze , Nandini Trivedi

Majorana bound states are quasiparticle excitations localized at the boundaries of a topologically nontrivial superconductor. They are zero-energy, charge-neutral, particle-hole symmetric, and spatially-separated end modes which are…

介观与纳米尺度物理 · 物理学 2022-12-21 Pasquale Marra

Non-abelian anyons are highly desired for topological quantum computation purposes, with Majorana fermions providing a promising route, particularly zero modes with non-trivial mutual statistics. Yet realizing Majorana zero modes in matter…

强关联电子 · 物理学 2021-04-23 Milan Kornjača , Victor L. Quito , Rebecca Flint

Chiral superconductors have the ability to host topologically protected Majorana zero modes which have been proposed as future qubits for topological quantum computing. The recently introduced magnet--superconductor hybrid (MSH) systems…

介观与纳米尺度物理 · 物理学 2019-11-27 Eric Mascot , Sagen Cocklin , Stephan Rachel , Dirk K. Morr

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

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

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…

量子物理 · 物理学 2024-08-14 Ye-Min Zhan , Guan-Dong Mao , Yu-Ge Chen , Yue Yu , Xi Luo

As the condensed matter analog of Majorana fermion, the Majorana zero-mode is well known as a building block of fault-tolerant topological quantum computing. This review focuses on the recent progress of Majorana experiments, especially…

介观与纳米尺度物理 · 物理学 2024-03-21 Ji-Bang Fu , Bin Li , Xin-Fang Zhang , Guang-Zheng Yu , Guang-Yao Huang , Ming-Tang Deng

Majorana modes are zero-energy excitations of a topological superconductor that exhibit non-Abelian statistics. Following proposals for their detection in a semiconductor nanowire coupled to an s-wave superconductor, several tunneling…

We study quantum entanglement in a system comprising two quantum dots interconnected through the short topological superconducting nanowire, which hosts overlapping boundary Majorana modes. Inspecting the fermionic negativity, we analyze…

量子物理 · 物理学 2026-03-05 C. Jasiukiewicz , A. Sinner , I. Weymann , T. Domański , L. Chotorlishvili