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We determine the degree of entanglement for two indistinguishable particles based on the two-qubit tensor product structure, which is a framework for emphasizing entanglement founded on observational quantities. Our theory connects…

Quantum Physics · Physics 2009-11-10 Xiao-Guang Wang , Barry C. Sanders

We propose to use residual parafermions of the overscreened Kondo effect for topological quantum computation. A superconducting proximity gap of $\Delta<T_K$ can be utilized to isolate the parafermion from the continuum of excitations and…

Strongly Correlated Electrons · Physics 2020-06-19 Yashar Komijani

The possibility to observe and manipulate Majorana fermions as end states of one-dimensional topological superconductors has been actively discussed recently. In a quantum wire with strong spin-orbit coupling placed in proximity to a bulk…

Superconductivity · Physics 2014-07-31 Masaki Tezuka , Norio Kawakami

The interdependence between long range correlations and topological signatures in fermionic arrays is examined. End-to-end correlations, in particular classical correlations, maintain a characteristic pattern in the presence of delocalized…

Quantum Physics · Physics 2021-07-01 Jose Reslen

It is known that a non-local complex fermion can be written in terms of two Majorana fermions. We exploit this fact to explain the system of two Majorana zero modes bound to a vortex and an anti-vortex, on the surface of a topological…

High Energy Physics - Theory · Physics 2022-11-10 Mehran Zahiri Abyaneh , Mehrdad Farhoudi

We propose a scheme in semiconducting quantum nanowires structure to demonstrate the non-Abelian statistics for Majorana fermions in terms of braid group. The Majorana fermions are localized at the endpoints of semiconducting wires, which…

Mesoscale and Nanoscale Physics · Physics 2011-11-01 Zheng-Yuan Xue

We investigate the ability of selective cavity coupling to a topological chain for tailoring the connectivity of Majorana fermions. We show how topological qubits (TQs), associated with non-local Majorana fermion pairing, can be moved from…

Mesoscale and Nanoscale Physics · Physics 2023-03-07 F. P. M. Méndez-Córdoba , F. J. Rodríguez , C. Tejedor , L. Quiroga

The search for a Majorana Fermion has been an area of intense interest in condensed matter research of late. This elusive particle, predicted to exist in 1937, has been sought after for both fundamental and practical reasons. On the…

Superconductivity · Physics 2013-08-20 Aaron Farrell

We investigate the admittance of a metallic quantum RC circuit with a spinful single-channel lead or equally with two conducting spin-polarized channels, in which Majorana fermions play a crucial role in the charge dynamics. We address how…

Mesoscale and Nanoscale Physics · Physics 2014-04-23 Christophe Mora , Karyn Le Hur

Topological states of matter present a wide variety of striking new phenomena. Prominent among these is the fractionalisation of electrons into unusual particles: Majorana fermions [1], Laughlin quasiparticles [2] or magnetic monopoles [3].…

Strongly Correlated Electrons · Physics 2014-05-26 J. Knolle , D. L. Kovrizhin , J. T. Chalker , R. Moessner

Entanglement is a key resource for quantum information technologies ranging from quantum sensing to quantum computing. Conventionally, the entanglement between two coupled qubits is established at the time scale of the inverse of the…

Quantum Physics · Physics 2023-09-12 Zeng-Zhao Li , Weijian Chen , Maryam Abbasi , Kater W. Murch , K. Birgitta Whaley

A double quantum dot coupled to an s-wave superconductor and subject to an inhomogeneous magnetic field can host a pair of zero-energy Majorana fermions when the dot properties are tuned appropriately. Here, we demonstrate the possibility…

Mesoscale and Nanoscale Physics · Physics 2013-08-26 Björn Sothmann , Jian Li , Markus Büttiker

We consider an interferometer based on artificially induced topological superconductivity and chiral 1D Majorana fermions. The (non-topological) superconducting island inducing the superconducting correlations in the topological substrate…

Mesoscale and Nanoscale Physics · Physics 2021-08-04 Dmitriy S. Shapiro , Alexander D. Mirlin , Alexander Shnirman

With the assistance of a pair of Majorana fermions, we propose schemes to entangle two quantum dots by Lyapunov control in the charge and spin degrees of freedom. Four different schemes are considered, i.e., the teleportation scheme, the…

Quantum Physics · Physics 2016-11-30 Z. C. Shi , W. Wang , X. X. Yi

We show how a quantum dot with a ballistic single-channel point contact to a superconductor can be created by means of a gate electrode at the edge of a quantum spin Hall insulator (such as an InAs/GaSb quantum well). A weak perpendicular…

Mesoscale and Nanoscale Physics · Physics 2013-06-26 Shuo Mi , D. I. Pikulin , M. Wimmer , C. W. J. Beenakker

We study the proximity effect between an s-wave superconductor and the surface states of a strong topological insulator. The resulting two dimensional state resembles a spinless p_x+ip_y superconductor, but does not break time reversal…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Liang Fu , C. L. Kane

We propose an experimental setup of an interferometer for the observation of neutral Majorana fermions on topological insulator - superconductor - ferromagnet junctions. We show that the extended lattice defects naturally present in…

Mesoscale and Nanoscale Physics · Physics 2011-08-02 Andrej Mesaros , Stefanos Papanikolaou , Jan Zaanen

We theoretically study trapped one-dimensional Fermi gases in the presence of spin-orbit coupling induced by Raman lasers. The gas changes from a conventional (non-topological) superfluid to a topological superfluid as one increases the…

Quantum Gases · Physics 2012-12-05 Ran Wei , Erich J. Mueller

We study a one-dimensional (1D) interacting electronic liquid coupled to a 1D array of classical magnetic moments and to a superconductor. We show that at low energy and temperature the magnetic moments and the electrons become strongly…

Mesoscale and Nanoscale Physics · Physics 2013-10-08 Bernd Braunecker , Pascal Simon

Several scenarios for realization of edge Majorana modes in quantum chain systems: spin chains, chains of Josephson junctions, and chains of coupled cavities in quantum optics, are considered. For all these systems excitations can be…

Strongly Correlated Electrons · Physics 2015-06-16 A. A. Zvyagin