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After briefly recalling the quantum entanglement-based view of topological phases of matter in order to outline the general context, we give an overview of different approaches to the classification problem of topological insulators and…

Mesoscale and Nanoscale Physics · Physics 2016-01-20 Andreas W. W. Ludwig

We study symmetry breaking quantum phase transitions in topological insulators and superconductors where the single electron gap remains open in the bulk. Specifically, we consider spontaneous breaking of the symmetry that protects the…

Strongly Correlated Electrons · Physics 2012-06-08 Tarun Grover , Ashvin Vishwanath

We present a theoretical analysis of a Majorana-based qubit consisting of two topological superconducting islands connected via a Josephson junction. The qubit is operated by electrostatic gates which control the coupling of two of the four…

Mesoscale and Nanoscale Physics · Physics 2019-10-29 Tommy Li , William A. Coish , Michael Hell , Karsten Flensberg , Martin Leijnse

We present and analyze a hybrid quantum system that interfaces a Majorana-hosted semiconductor nanowire with a single nitrogen-vacancy (NV) center via a magnetized torsional cantilever. We show that, the torsional mode of the mechanical…

Quantum Physics · Physics 2019-04-02 Bo Li , Peng-Bo Li , Yuan Zhou , Jie Liu , Hongrong Li , Fuli Li

We propose and analyze theoretically an experimental setup for detecting the elusive Majorana particle in semiconductor-superconductor heterostructures. The experimental system consists of one-dimensional semiconductor wire with strong…

Superconductivity · Physics 2010-08-16 Roman M. Lutchyn , Jay D. Sau , S. Das Sarma

Nonpairwise multi-qubit interactions present a useful resource for quantum information processors. Their implementation would facilitate more efficient quantum simulations of molecules and combinatorial optimization problems, and they could…

A highlighting feature of Majorana bound states in two-dimensional topological superconductors is that they gain a phase factor of $\pi$ upon being orbited by a vortex. This work focuses on the vortex degree of freedom itself and…

Strongly Correlated Electrons · Physics 2016-06-29 Jeffrey C. Y. Teo , Mayukh Nilay Khan , Smitha Vishveshwara

This review elaborates pedagogically on the fundamental concept, basic theory, expected properties, and materials realizations of topological superconductors. The relation between topological superconductivity and Majorana fermions are…

Superconductivity · Physics 2017-05-18 Masatoshi Sato , Yoichi Ando

We study the condition for a topological superconductor (TS) phase with end Majorana fermions to appear when a quasiperiodic lattice modulation is applied to a one-dimensional quantum wire with strong spin-orbit interaction situated under a…

Superconductivity · Physics 2012-04-25 Masaki Tezuka , Norio Kawakami

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

Control over the quantum states of a massive oscillator is important for several technological applications and to test the fundamental limits of quantum mechanics. Addition of an internal degree of freedom to the oscillator could be a…

Mesoscale and Nanoscale Physics · Physics 2021-01-27 Tanmoy Bera , Sourav Majumder , Sudhir Kumar Sahu , Vibhor Singh

It is shown that the presence of the Majorana fermion edge states along the perimeter of a topological superconductor can be probed using an interacting quantum dot coupled to three terminals: two spin-polarized (ferromagnetic) leads and…

Strongly Correlated Electrons · Physics 2011-11-15 Rok Zitko

In this paper, we propose a scheme to implement two-qubit logic gates with a controllable and selective interaction in a scalable superconducting circuit of charge qubits. A nanomechanical resonator is used as a data bus to connect qubits.…

Quantum Physics · Physics 2008-04-01 Jie-Qiao Liao , Qin-Qin Wu , Le-Man Kuang

For superconducting quantum processors consisting of low anharmonicity qubits such as transmons we give a complete microwave description of the system in the qubit subspace. We assume that the qubits are dispersively coupled to a…

Quantum Physics · Physics 2019-10-23 Firat Solgun , David P. DiVincenzo , Jay M. Gambetta

Topological superconductors are associated with the appearance of Majorana bound states, with promising applications in topologically protected quantum computing. In this Letter, we study a system where a skyrmion crystal is interfaced with…

Superconductivity · Physics 2023-04-14 Kristian Mæland , Asle Sudbø

We theoretically study quantum transport through a quantum dot coupled to Majorana bound states confined at the ends of a topological superconducting nanowire. The topological superconductor forms a loop and is threaded by a tunable…

Mesoscale and Nanoscale Physics · Physics 2022-04-25 Levente Máthé , Doru Sticlet , Liviu P. Zârbo

We study the phase transition between a trivial and a time-reversal-invariant topological superconductor in a single-band system. By analyzing the interplay of symmetry, topology and energetics, we show that for a generic normal state band…

Superconductivity · Physics 2017-11-08 Yuxuan Wang , Liang Fu

We propose to use an ancilla fluxonium qubit to interact with a Majorana qubit hosted by a topological one-dimensional wire. The coupling is obtained using the Majorana qubit-controlled 4 pi Josephson effect to flux bias the fluxonium…

Mesoscale and Nanoscale Physics · Physics 2013-10-23 David Pekker , Chang-Yu Hou , Vladimir E. Manucharyan , Eugene Demler

Chiral Majorana fermion is a massless self-conjugate fermion which can arise as the edge state of certain two-dimensonal topological matters. It has been theoretically predicted and experimentally observed in a hybrid device of quantum…

Mesoscale and Nanoscale Physics · Physics 2018-10-10 Biao Lian , Xiao-Qi Sun , Abolhassan Vaezi , Xiao-Liang Qi , Shou-Cheng Zhang

The abstract notion of topology has led to profound insights into real materials. Notably, the surface and edges of topological materials can host physics, such as unidirectional charge or spin transport, that is unavailable in isolated…

Mesoscale and Nanoscale Physics · Physics 2021-07-02 Nicodemos Varnava , Justin H. Wilson , J. H. Pixley , David Vanderbilt