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Related papers: Braiding Majorana zero modes using quantum dots

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In this paper we present a hybrid scheme for topological quantum computation in a system of cold atoms trapped in an atomic lattice. A topological qubit subspace is defined using Majorana fermions which emerge in a network of atomic Kitaev…

Quantum Physics · Physics 2014-02-19 C. Laflamme , M. A. Baranov , P. Zoller , C. V. Kraus

We propose a versatile platform to investigate the existence of Majorana bound states (MBSs) and their non-Abelian statistics through braiding. This implementation combines a two-dimensional electron gas formed in a semiconductor quantum…

Mesoscale and Nanoscale Physics · Physics 2016-08-25 Geoffrey L. Fatin , Alex Matos-Abiague , Benedikt Scharf , Igor Žutić

We study the low-energy transport properties of a hybrid device composed by a native quantum dot coupled to both ends of a topological superconducting nanowire section hosting Majorana zero-modes. The account of the coupling between the dot…

Mesoscale and Nanoscale Physics · Physics 2020-10-14 L. S. Ricco , Y. Marques , J. E. Sanches , I. A. Shelykh , A. C. Seridonio

We analyse the control of Majorana zero-energy states by mapping the fermionic system onto a chain of Ising spins. Although the topological protection is lost for the Ising system, the mapping provides additional insight into the nature of…

Mesoscale and Nanoscale Physics · Physics 2017-11-08 Stefan Backens , Alexander Shnirman , Yuriy Makhlin , Yuval Gefen , Johan E. Mooij , Gerd Schön

We propose and analyze a physical system capable of performing topological quantum computation with Majorana zero modes (MZM) in a one-dimensional topological superconductor (1DTS). One of the leading methods to realize quantum gates in…

Quantum Physics · Physics 2021-06-02 Marek Narozniak , Matthieu Dartiailh , Jonathan P. Dowling , Javad Shabani , Tim Byrnes

It has been proposed that localized zero-energy Majorana states can be realized in a two-dimensional network of quasi-one-dimensional semiconductor wires that are proximity-coupled to a bulk superconductor. The wires should have strong…

Superconductivity · Physics 2015-06-03 Bertrand I. Halperin , Yuval Oreg , Ady Stern , Gil Refael , Jason Alicea , Felix von Oppen

One-dimensional topological superconductors are known to host Majorana zero modes at domain walls terminating the topological phase. Their nonabelian nature allows for processing quantum information by braiding operations which are…

Mesoscale and Nanoscale Physics · Physics 2013-11-27 Torsten Karzig , Gil Refael , Felix von Oppen

Majorana bound states have been a focus of condensed matter research for their potential applications in topological quantum computation. Here we utilize two charge-qubit arrays to explicitly simulate a DIII class one-dimensional…

Quantum Physics · Physics 2015-03-16 Ting Mao , Z. D. Wang

A quantum computer based on Majorana qubits would contain a large number of zero-energy Majorana states. This system can be modelled as a connected network of the Ising-Kitaev chains alternating the "trivial" and "topological" regions, with…

Mesoscale and Nanoscale Physics · Physics 2017-05-04 B. N. Narozhny

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…

Mesoscale and Nanoscale Physics · Physics 2022-12-21 Pasquale Marra

We study the dynamics of Majorana zero modes that are shuttled via local tuning of the electrochemical potential in a superconducting wire. By performing time-dependent simulations of microscopic lattice models, we show that diabatic…

Mesoscale and Nanoscale Physics · Physics 2018-07-18 Bela Bauer , Torsten Karzig , Ryan V. Mishmash , Andrey E. Antipov , Jason Alicea

Numerical calculations for Majorana zero modes on a one-dimensional chain are performed using the technique of block diagonalization for general parameter settings. It is found that Majorana zero modes occur near the ends of the chain and…

Quantum Physics · Physics 2014-08-20 Lei Chen , W. LiMing , Jia-Hui Huang

We propose an experimental setup for detecting a Majorana zero mode consisting of a spinless quantum dot coupled to the end of a p-wave superconducting nanowire. The Majorana bound state at the end of the wire strongly influences the…

Mesoscale and Nanoscale Physics · Physics 2011-11-22 Dong E. Liu , Harold U. Baranger

Color-code quantum computation seamlessly combines Majorana-based hardware with topological error correction. Specifically, as Clifford gates are transversal in two-dimensional color codes, they enable the use of the Majoranas' nonabelian…

Mesoscale and Nanoscale Physics · Physics 2017-11-09 Daniel Litinski , Felix von Oppen

Majorana Zero Modes (MZMs) are prime candidates for robust topological quantum bits, holding a great promise for quantum computing. Semiconducting nanowires with strong spin orbit coupling offers a promising platform to harness…

Two-dimensional electron gases with strong spin-orbit coupling covered by a superconducting layer offer a flexible and potentially scalable platform for Majorana networks. We predict Majorana bound states (MBSs) to appear for experimentally…

Mesoscale and Nanoscale Physics · Physics 2017-10-18 Michael Hell , Karsten Flensberg , Martin Leijnse

We simulate the dynamics of braiding Majorana zero modes on an IBM Quantum computer. We find the native quantum gates introduce too much noise to observe braiding. Instead, we use Qiskit Pulse to develop scaled two-qubit quantum gates that…

Quantum Physics · Physics 2021-08-25 John P. T. Stenger , Nicholas T. Bronn , Daniel J. Egger , David Pekker

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…

Mesoscale and Nanoscale Physics · Physics 2026-02-26 Bill P. Truong , Kartiek Agarwal , T. Pereg-Barnea

I examine, in general, how tunable interactions may be used to perform anyonic teleportation and generate braiding transformations for non-Abelian anyons. I explain how these methods are encompassed by the "measurement-only" approach to…

Strongly Correlated Electrons · Physics 2013-01-11 Parsa Bonderson

Discrete time crystals have attracted considerable theoretical and experimental studies but their potential applications have remained unexplored. A particular type of discrete time crystals, termed "Majorana time crystals", is found to…

Quantum Physics · Physics 2018-06-13 Raditya Weda Bomantara , Jiangbin Gong
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