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We present evidence for the existence of Majorana edge states in a number conserving theory describing a system of spinless fermions on two wires that are coupled by a pair hopping. Our analysis is based on the combination of a qualitative…

We propose a scheme to implement Controlled Not-gate for topological qubits in a quantum-dot-Majorana-fermion hybrid system. Quantum information is encoded on pairs of Majorana fermions, which live on the the interface between topologically…

量子物理 · 物理学 2013-05-03 Zheng-Yuan Xue

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…

量子物理 · 物理学 2016-11-30 Z. C. Shi , W. Wang , X. X. Yi

We study a double quantum dot connected via a common superconducting lead and show that this system can be tuned to host one Majorana bound state (MBS) on each dot. We call them "poor man's Majorana bound states" since they are not…

介观与纳米尺度物理 · 物理学 2013-01-10 Martin Leijnse , Karsten Flensberg

Majorana fermions, quantum particles with non-Abelian exchange statistics, are not only of fundamental importance, but also building blocks for fault-tolerant quantum computation. Although certain experimental breakthroughs for observing…

介观与纳米尺度物理 · 物理学 2014-04-30 Rui-Lin Chu , Gui-Bin Liu , Wang Yao , Xiaodong Xu , Di Xiao , Chuanwei Zhang

In this letter we present, in a number conserving framework, a model of interacting fermions in a two-wire geometry supporting non-local zero-energy Majorana-like edge excitations. The model has an exactly solvable line, on varying the…

强关联电子 · 物理学 2015-10-12 Fernando Iemini , Leonardo Mazza , Davide Rossini , Rosario Fazio , Sebastian Diehl

Majorana zero modes are quasiparticle excitations in condensed matter systems that have been proposed as building blocks of fault-tolerant quantum computers [1]. They are expected to exhibit non-Abelian particle statistics, in contrast to…

介观与纳米尺度物理 · 物理学 2016-03-18 S. M. Albrecht , A. P. Higginbotham , M. Madsen , F. Kuemmeth , T. S. Jespersen , J. Nygård , P. Krogstrup , C. M. Marcus

We theoretically explore quench dynamics in a finite-sized topological fermionic p-wave superconducting wire with the goal of demonstrating that topological order can have marked effects on such non-equilibrium dynamics. In the case studied…

强关联电子 · 物理学 2015-05-26 Suraj Hegde , Vasudha Shivamoggi , Smitha Vishveshwara , Diptiman Sen

We suggest a way to overcome the obstacles that disorder and high density of states pose to the creation of unpaired Majorana fermions in one-dimensional systems. This is achieved by splitting the system into a chain of quantum dots, which…

介观与纳米尺度物理 · 物理学 2015-10-12 Ion C. Fulga , Arbel Haim , Anton R. Akhmerov , Yuval Oreg

Topological superconductors are believed to host exotic quasiparticle excitations known as Majorana zero-modes, with much of the evidence based on BCS mean-field theory. The direct application of mean-field arguments is tenuous in finite,…

强关联电子 · 物理学 2025-09-03 Jaden Thomas-Markarian , Kartiek Agarwal , Ivar Martin

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…

介观与纳米尺度物理 · 物理学 2016-10-19 Kaveh Gharavi , Darryl Hoving , Jonathan Baugh

Bound states in quantum dots coupled to superconductors can be in a coherent superposition of states with different electron number but with the same fermion parity. Electrostatic gating can tune this superposition to a sweet spot, where…

介观与纳米尺度物理 · 物理学 2024-06-18 Max Geier , Rubén Seoane Souto , Jens Schulenborg , Serwan Asaad , Martin Leijnse , Karsten Flensberg

Due to their nonlocality, qubits nested in Majorana bound states may be the key to realize decoherence-free quantum computation. Majorana bound states could be achieved at the ends of a one-dimensional topological superconductor. However,…

介观与纳米尺度物理 · 物理学 2015-06-11 Hai-Feng Lu , Hai-Zhou Lu , Shun-Qing Shen

Majorana fermions are long-sought exotic particles that are their own antiparticles. Here we propose to utilize superconducting circuits to construct two superconducting-qubit arrays where Majorana modes can occur. A so-called Majorana…

超导电性 · 物理学 2014-09-23 J. Q. You , Z. D. Wang , Wenxian Zhang , Franco Nori

Effects associated with the existence of isolated zero modes of Majorana fermions are discussed. It is argued that the quantization of this system necessarily contains highly extended quantum states and that populating and depopulating such…

其他凝聚态物理 · 物理学 2007-05-23 Gordon W. Semenoff , Pasquale Sodano

We introduce a one-dimensional system of fermionic atoms in an optical lattice whose phase diagram includes topological states of different symmetry classes. These states can be identified by their zero-energy edge modes which are Majorana…

量子气体 · 物理学 2015-06-03 Christina V. Kraus , Sebastian Diehl , Peter Zoller , Mikhail A. Baranov

We study the flux-dependent quantum inductance of a one-dimensional (1D) semiconductor-superconductor (SM-SC) Majorana nanowire coupled to a quantum dot in an interferometric setup. Although quantum capacitance in this setup enables fast…

介观与纳米尺度物理 · 物理学 2026-03-13 Binayyak B. Roy , Jay D. Sau , Sumanta Tewari

In this work we study interacting spinless fermions on a two-chain ladder with inter-chain pair tunneling while single-particle tunneling is suppressed at low energy. The model embodies a $\mathbb{Z}_2$ symmetry associated with the fermion…

强关联电子 · 物理学 2011-11-03 Meng Cheng , Hong-Hao Tu

We describe how microwave spectroscopy of cold fermions in quasi-1D traps can be used to detect, manipulate, and entangle exotic non-local qbits associated with "Majorana" edge modes. We present different approaches to generate the p-wave…

量子物理 · 物理学 2013-12-23 Bhuvanesh Sundar , Erich J. Mueller

While the on-chip processing power in circuit QED devices is growing rapidly, an open challenge is to establish high-fidelity quantum links between qubits on different chips. Here, we show entanglement between transmon qubits on different…