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We establish a unified framework for Majorana-based fault-tolerant quantum computation with Majorana surface codes and Majorana color codes. All logical Clifford gates are implemented with zero time overhead. This is done by introducing a…

介观与纳米尺度物理 · 物理学 2018-05-04 Daniel Litinski , Felix von Oppen

Theoretically, a pair of Majorana bound states in a topological superconductor forms a single fermionic level even at large separations, implying that the parity information is stored nonlocally. The nonlocality leads to a long-distance…

介观与纳米尺度物理 · 物理学 2020-07-23 Zheng Shi , Piet W. Brouwer , Karsten Flensberg , Leonid I. Glazman , Felix von Oppen

We theoretically analyze phonon-assisted tunneling transport in a quantum dot side connected to a Majorana bound state in a topological superconducting nanowire. We investigate the behavior of the current through the dot, for a range of…

介观与纳米尺度物理 · 物理学 2024-08-07 Levente Máthé , Zoltán Kovács-Krausz , Ioan Botiz , Ioan Grosu , Khadija El Anouz , Abderrahim El Allati , Liviu P. Zârbo

Floquet Majorana fermions are steady states of equal superposition of electrons and holes in a periodically driven superconductor. We study the experimental signatures of Floquet Majorana fermions in transport measurements and show, both…

介观与纳米尺度物理 · 物理学 2013-09-27 Arijit Kundu , Babak Seradjeh

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 propose a physical realization of a commuting Hamiltonian of interacting Majorana fermions realizing $Z_{2}$ topological order, using an array of Josephson-coupled topological superconductor islands. The required multi-body interaction…

介观与纳米尺度物理 · 物理学 2016-02-17 Sagar Vijay , Liang Fu

We study one-component fermions in chain lattices with proximity-induced superconducting gap and interparticle short-range interaction, capable of hosting Majorana fermions. By systematically tracking various physical quantities, we show…

超导电性 · 物理学 2015-09-22 Y. -H. Chan , Ching-Kai Chiu , Kuei Sun

Under appropriate external conditions a semiconductor nanowire in proximity to an s-wave superconductor can be in a topological superconducting (TS) phase. This phase supports localized zero-energy Majorana fermions at the ends of the wire.…

介观与纳米尺度物理 · 物理学 2011-09-29 Jay D. Sau , D. J. Clarke , S. Tewari

The experimental realization of Majorana fermions presents an important problem due to their non-Abelian nature and potential exploitation for topological quantum computation. Very recently Sau et al. [arXiv:0907.2239] demonstrated that a…

强关联电子 · 物理学 2013-05-29 Jason Alicea

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

We study a realization of a 1d chain of Majorana bound states at the interfaces between alternating ferromagnetic and superconducting regions at a quantum spin Hall insulator edge. In the limit of well separated Majoranas, the system can be…

介观与纳米尺度物理 · 物理学 2013-05-29 V. Shivamoggi , G. Refael , J. E. Moore

After a recent series of rapid and exciting developments, the long search for the Majorana fermion - the elusive quantum entity at the border between particles and antiparticles - has produced the first positive experimental results, but is…

超导电性 · 物理学 2013-05-14 Tudor D. Stanescu , Sumanta Tewari

Demonstration of Majorana non-Abelian properties is a major challenge in the field of topological superconductivity. In this work, we propose a minimal device and protocol for testing non-Abelian properties using charge-transfer operations…

介观与纳米尺度物理 · 物理学 2022-02-02 Svend Krøjer , Rubén Seoane Souto , Karsten Flensberg

It was predicted by Tewari [Phys. Rev. Lett. {\bf 100}, 027001 (2008)] that a teleportationlike electron transfer phenomenon is one of the novel consequences of the existence of Majorana fermion, because of the inherently nonlocal nature.…

介观与纳米尺度物理 · 物理学 2023-09-26 Peiyue Wang , Yunshan Cao , Ming Gong , Shu-Shen Li , Xin-Qi Li

We introduce a new hybrid qubit consisting of a Majorana qubit interacting with a transmon longitudinally coupled to a resonator. To do so, we equip the longitudinal transmon qubit with topological quasiparticles, supported by an array of…

量子物理 · 物理学 2020-09-28 Alec Dinerstein , Caroline S. Gorham , Eugene F. Dumitrescu

We provide a conceptual framework for developing a scalable topological quantum computer. It relies on forming Majorana fermions using circular electronic gates in two-dimensional p-wave superconductors. The gates allow the precise control…

介观与纳米尺度物理 · 物理学 2020-11-19 Ji Ung Lee

We present evidence for the existence of Majorana edge states in a number conserving theory describing a system of spinless fermions on two wires that are coupled by a pair hopping. Our analysis is based on the combination of a qualitative…

Controlling the dynamics of Majorana fermions (MF) subject to time-varying driving fields is of fundamental importance for the practical realization of topological quantum computing. In this work we study how it is possible to dynamically…

强关联电子 · 物理学 2015-06-05 E. Perfetto

This is a colloquium-style introduction to the midgap excitations in superconductors known as Majorana fermions. These elusive particles, equal to their own antiparticle, may or may not exist in Nature as elementary building blocks, but in…

介观与纳米尺度物理 · 物理学 2013-03-12 C. W. J. Beenakker

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