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In this paper we show how the classification of topological phases in insulators and superconductors is changed by interactions, in the case of 1D systems. We focus on the TR-invariant Majorana chain (BDI symmetry class). While the band…

Strongly Correlated Electrons · Physics 2013-05-29 Lukasz Fidkowski , Alexei Kitaev

A model of microscopic interaction between a superconductor and a one-dimensional topological insulator, an SSH chain, is considered. Using the functional integration method, the effective action of the interaction between a superconductor…

Superconductivity · Physics 2026-05-13 I. A. Belkovich , A. A. Radkevich

In this paper we investigate a linear chain of qubits and determine that it can be configured into a conditional two-qubit swapping gate, where the first and last qubits of the chain are the swapped qubits, and the remaining middle ancilla…

Quantum Physics · Physics 2019-04-11 S. E. Rasmussen , K. S. Christensen , N. T. Zinner

We have designed and experimentally implemented a circuit of inductively-coupled superconducting charge qubits, where a Josephson junction is used as an inductance, and the coupling between the qubits is controlled by an applied magnetic…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 T. Yamamoto , M. Watanabe , J. Q. You , Yu. A. Pashkin , O. Astafiev , Y. Nakamura , F. Nori , J. S. Tsai

The integration of semiconductor Josephson junctions (JJs) in superconducting quantum circuits provides a versatile platform for hybrid qubits and offers a powerful way to probe exotic quasiparticle excitations. Recent proposals for using…

Superconductivity and the quantum Hall effect are considered to be two cornerstones of condensed matter physics. The realization of hybrid structures where these two effects coexist has recently become an active field of research. In this…

Mesoscale and Nanoscale Physics · Physics 2020-08-11 Lucila Peralta Gavensky , Gonzalo Usaj , C. A. Balseiro

Topological insulators and superconductors at finite temperature can be characterized by the topological Uhlmann phase. However, a direct experimental measurement of this invariant has remained elusive in condensed matter systems. Here, we…

Quantum Physics · Physics 2018-02-14 O. Viyuela , A. Rivas , S. Gasparinetti , A. Wallraff , S. Filipp , M. A. Martin-Delgado

A superconducting qubit device suitable for interacting with a flying electron has recently been proposed [H. Okamoto and Y. Nagatani, Appl. Phys. Lett. \textbf{104}, 062604 (2014)]. Either a clockwise or counter clockwise directed loop of…

Quantum Physics · Physics 2018-04-30 Hiroshi Okamoto

Chiral coupling at the single-quantum level promises to be a remarkable potential for quantum information processing. Here we propose to achieve a chiral interaction between a magnon mode in a ferromagnetic sphere and a superconducting…

Mesoscale and Nanoscale Physics · Physics 2022-12-02 Ya-long Ren , Sheng-li Ma , Fu-li Li

Topological insulators are characterized by an insulating bulk with a finite band gap and conducting edge or surface states, where charge carriers are protected against backscattering. These states give rise to the quantum spin Hall effect…

Strongly Correlated Electrons · Physics 2012-08-23 M. Veldhorst , M. Snelder , M. Hoek , T. Gang , X. L. Wang , V. K. Guduru , U. Zeitler , W. G. v. d. Wiel , A. A. Golubov , H. Hilgenkamp , A. Brinkman

We explore possible signatures for observing Majorana Fermions in the tunneling spectroscopy of high-Tc cuprate superconductors. We find that as long as the Rashba spin orbit interaction is in presence either through proximity effect due to…

Superconductivity · Physics 2015-06-24 Jun-Ting Kao , Shin-Ming Huang , Chung-Yu Mou , C. C. Tsuei

We present a way to realize a $n$-qubit controlled phase gate with superconducting quantum interference devices (SQUIDs) by coupling them to a superconducting resonator. In this proposal, the two logical states of a qubit are represented by…

Quantum Physics · Physics 2009-11-11 Chui-Ping Yang , Siyuan Han

A superconducting qubit implementation is proposed that takes the advantage of both charge and phase degrees of freedom. Superpositions of flux states in a superconducting loop with three Josephson junctions form the states of the qubit.…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. H. S. Amin

We analyze the reading and initialization of a topological qubit encoded by Majorana fermions in one-dimensional semiconducting nanowires, weakly coupled to a single level quantum dot (QD). It is shown that when the Majorana fermions are…

Mesoscale and Nanoscale Physics · Physics 2015-06-15 Wei Chen , Zheng-Yuan Xue , Z. D. Wang , R. Shen , D. Y. Xing

The edge state of the topological insulator coupled to a superconductor system is able to simulate the Majorana fermion in zero energy mode since the Kitaev-type pairing is induced by exchanging quasi-excitations in electron tunneling.…

Mesoscale and Nanoscale Physics · Physics 2025-06-23 Xin Yue , Guo-Jian Qiao , C. P. Sun

Hybrid superconductor-semiconductor heterostructures are promising platforms for realizing topological superconductors and exploring Majorana bound states physics. Motivated by recent experimental progress, we theoretically study how…

Mesoscale and Nanoscale Physics · Physics 2021-03-15 A. Maiani , R. Seoane Souto , M. Leijnse , K. Flensberg

Topological phases of matter that depend for their existence on interactions are fundamentally interesting and potentially useful as platforms for future quantum computers. Despite the multitude of theoretical proposals the only…

Mesoscale and Nanoscale Physics · Physics 2015-09-02 D. I. Pikulin , Ching-Kai Chiu , Xiaoyu Zhu , M. Franz

We study theoretically charge transport properties of normal metal (N) / ferromagnet insulator (FI) / superconductor (S) junction and S/FI/S junction formed on the surface of three-dimensional topological insulator (TI), where chiral…

Superconductivity · Physics 2015-05-13 Yukio Tanaka , Takehito Yokoyama , Naoto Nagaosa

Majorana fermions hold promise for quantum computation, because their non-Abelian braiding statistics allows for topologically protected operations on quantum information. Topological qubits can be constructed from pairs of well-separated…

Quantum Physics · Physics 2013-07-31 T. Hyart , B. van Heck , I. C. Fulga , M. Burrello , A. R. Akhmerov , C. W. J. Beenakker

We propose a scheme of strong and tunable coupling between a superconducting phase qubit and nanomechanical torsional resonator. In our scheme the torsional resonator directly modulates the largest energy scale (the Josephson coupling…

Mesoscale and Nanoscale Physics · Physics 2010-08-12 Myung-Joong Hwang , Jae-Hyuk Choi , Mahn-Soo Choi
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