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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…

Mesoscale and Nanoscale Physics · Physics 2022-02-02 Svend Krøjer , Rubén Seoane Souto , Karsten Flensberg

Topological superconductivity supports exotic Majorana bound states (MBS) which are chargeless zero-energy emergent quasiparticles. With their non-Abelian exchange statistics and fractionalization of a single electron stored nonlocally as a…

Mesoscale and Nanoscale Physics · Physics 2020-04-08 Tong Zhou , Matthieu C. Dartiailh , William Mayer , Jong E. Han , Alex Matos-Abiague , Javad Shabani , Igor Zutic

A hallmark of topological superconductivity is the non-Abelian statistics of Majorana bound states (MBS), its chargeless zero-energy emergent quasiparticles. The resulting fractionalization of a single electron, stored nonlocally as a two…

Mesoscale and Nanoscale Physics · Physics 2022-04-26 Tong Zhou , Matthieu C. Dartiailh , Kasra Sardashti , Jong E. Han , Alex Matos-Abiague , Javad Shabani , Igor Zutic

A demonstration of the theoretically predicted non-abelian properties of Majorana bound states (MBSs) would constitute a definite proof of a topological superconducting phase. Alongside the nontrivial braiding statistics, the fusion rules…

Mesoscale and Nanoscale Physics · Physics 2022-05-18 R. Seoane Souto , M. Leijnse

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

We theoretically investigate electronic transport through a junction where a quantum dot (QD) is tunnel coupled on both sides to semiconductor nanowires with strong spin-orbit interaction and proximity-induced superconductivity. The results…

Superconductivity · Physics 2014-12-09 Guang-Yao Huang , Martin Leijnse , Karsten Flensberg , Hongqi Xu

We numerically compute the low-energy spectrum of a gate-controlled superconducting topological nanowire segmented into two islands, each Josephson-coupled to a bulk superconductor. This device may host two pairs of Majorana bound states…

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

Non-Abelian quasiparticles have been predicted to exist in a variety of condensed matter systems. Their defining property is that an adiabatic braid between two of them results in a nontrivial change of the quantum state of the system. To…

Mesoscale and Nanoscale Physics · Physics 2016-01-28 Jian Li , Titus Neupert , B. Andrei Bernevig , Ali Yazdani

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…

Mesoscale and Nanoscale Physics · Physics 2020-09-09 C. Tutschku , R. W. Reinthaler , C. Lei , A. H. MacDonald , E. M. Hankiewicz

Topologically protected qubits based on nanostructures hosting Majorana bound states (MBSs) hold great promise for fault-tolerant quantum computing. We study the transport properties of nanowire networks hosting MBSs with a focus on the…

Mesoscale and Nanoscale Physics · Physics 2020-05-20 Johan Ekström , Patrik Recher , Thomas L. Schmidt

Reading out Majorana bound states (MBSs) is essential both to verify their non-Abelian property and to realize topological quantum computation. Here, we construct a protocol to measure the parity of two MBSs in a Majorana island coupled to…

Mesoscale and Nanoscale Physics · Physics 2021-09-14 Zhen-Tao Zhang , Dong E. Liu

Topological Quantum Computing has largely evolved towards a paradigm of manipulating edge localized Majorana within $p$-wave topological superconducting nanowires. To bridge the gap between physical qubit systems and quantum algorithms, we…

Mesoscale and Nanoscale Physics · Physics 2026-03-17 Adrian D. Scheppe , Michael V. Pak

Majorana bound states (MBSs) are building blocks for topological quantum computing. They can be generated via the combination of electronic topology and superconductivity. To achieve logic operations via Majorana braiding, positional…

Electron teleportation via two separate Majorana bound states(MBSs) is a manifestation of the non-locality of MBSs. A superconductor may host multiple separate or partial overlapping MBSs, and it is difficult to distinguish them. Here, we…

Mesoscale and Nanoscale Physics · Physics 2023-06-27 Zhen-Tao Zhang , Bao-Long Liang , Zhen-Shan Yang

In this paper, we derive the equations of motion for a system composed of a spinless quantum dot coupled to two normal leads and two Majorana bound states (MBSs), utilizing the auxiliary-mode expansion method and the nonequilibrium Green…

Mesoscale and Nanoscale Physics · Physics 2025-07-01 Cong Li , Bing Dong

We describe a scheme to exchange fermion parity between two pairs of Majorana bound states mediated by coupling with a centralized quantum dot. We specifically formulate such a scheme for Majorana bound states nucleated in the Josephson…

Mesoscale and Nanoscale Physics · Physics 2024-03-26 Varsha Subramanyan , Jukka I Vayrynen , Alex Levchenko , Smitha Vishveshwara

We theoretically examine a scheme for projectively reading out the parity state of a pair of Majorana bound states (MBS) using a tunnel coupled quantum dot. The dot is coupled to one end of the topological wire but isolated from any…

Mesoscale and Nanoscale Physics · Physics 2016-10-19 Kaveh Gharavi , Darryl Hoving , Jonathan Baugh

Majorana bound states are zero-energy excitations of topological superconductors which obey non-Abelian exchange statistics and are basic building blocks for topological quantum computation. In order to observe and exploit their…

Mesoscale and Nanoscale Physics · Physics 2020-01-03 Alessio Calzona , Björn Trauzettel

We introduce a scheme for preparation, manipulation, and readout of Majorana zero modes in semiconducting wires with mesoscopic superconducting islands. Our approach synthesizes recent advances in materials growth with tools commonly used…

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.…

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