Related papers: Fusion Dynamics of Majorana Zero Modes

Fusion Dynamics of Majorana Zero Modes

URL: http://arxiv.org/abs/2503.09800v1
Date: Wed, 12 Mar 2025 20:09:17 GMT
Title: Fusion Dynamics of Majorana Zero Modes
Authors: Themba Hodge, Tuan Kieu, Jasmin Bedow, Eric Mascot, Dirk K. Morr, Stephan Rachel,
Abstract summary: We investigate the fusion dynamics of Majorana zero modes in the spinless Kitaev model, and in a spinfull model describing magnet-superconductor hybrid structures.<n>Our findings confirm for both platforms that fusion dynamics of Majorana zero modes can indeed be used for the readout of Majorana qubits.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: Braiding and fusion of Majorana zero modes are key elements of any future topological Majorana-based quantum computer. Here, we investigate the fusion dynamics of Majorana zero modes in the spinless Kitaev model, as well as in a spinfull model describing magnet-superconductor hybrid structures. We consider various scenarios allowing us to reproduce the fusion rules of the Ising anyon model. Particular emphasis is given to the charge of the fermion obtained after fusing two Majorana zero modes: as long as it remains on the superconductor, charge quantization is absent. When moving the fermion to a non-superconducting region, such as a quantum dot, nearly-quantized charge can be measured. Our findings confirm for both platforms that fusion dynamics of Majorana zero modes can indeed be used for the readout of Majorana qubits.

Related papers

Emergent Kitaev materials in synthetic Fermi-Hubbard bilayers [49.1574468325115]
Bond-directional spin-spin interactions in a Fermi-Hubbard bilayer can be realized with ultracold fermions in Raman optical lattices. We analyze the Fermi-liquid and Mott-insulating phases, highlighting a correspondence between Dirac and Majorana quasi-particles. Our results establish that cold-atom quantum simulators based on Raman optical lattices can be a playground for extended Kitaev models.
arXiv Detail & Related papers (2025-04-22T10:07:56Z)
Nonadiabatic braiding of Majorana modes [1.3440879776910297]
We propose a nonadiabatic and non-Abelian geometry phase-based protocol to execute operations on Majorana zero modes. This work offers a potential pathway towards the nonadiabatic and fault-tolerant control of Majorana zero modes.
arXiv Detail & Related papers (2025-03-02T16:17:51Z)
Emergent quantum Majorana metal from a chiral spin liquid [50.56734933757366]
We propose a mechanism to explain the emergence of an intermediate gapless spin liquid phase in the antiferromagnetic Kitaev model.<n>We show that the Majorana spectral function captures the dynamical spin and dimer correlations obtained by the infinite Projectedangled Pair States method.
arXiv Detail & Related papers (2024-05-20T18:00:01Z)
Majorana modes in trapped-ion system and their Floquet engineering [0.393259574660092]
Majorana fermions holds a promise to implement fault-tolerant quantum computing. We propose an alternative scheme to simulate the Majorana fermions in a trapped-ion system.
arXiv Detail & Related papers (2024-01-21T14:43:30Z)
Majorana-magnon interactions in topological Shiba chains [0.0]
A chain of magnetic impurities deposited on the surface of a superconductor can form a topological Shiba band that supports Majorana zero modes. Here we propose to leverage the intrinsic dynamics of the magnetic impurities to access their non-local character. We demonstrate that this mode, which spreads over the entire chain of atoms, becomes imprinted with the parity of the ground state.
arXiv Detail & Related papers (2023-03-23T17:59:32Z)
Bound state of distant photons in waveguide quantum electrodynamics [137.6408511310322]
Quantum correlations between distant particles remain enigmatic since the birth of quantum mechanics. We predict a novel kind of bound quantum state in the simplest one-dimensional setup of two interacting particles in a box. Such states could be realized in the waveguide quantum electrodynamics platform.
arXiv Detail & Related papers (2023-03-17T09:27:02Z)
A Platform for Braiding Majorana Modes with Magnetic Skyrmions [0.0]
We propose magnetic multilayer heterostructures with on-chip microwave cavity readout as a novel platform for initializing, braiding and reading out Majorana modes. We show that our nucleation and braiding scheme can be effectively realized with a variety of existing options for magnetic and superconducting layers.
arXiv Detail & Related papers (2022-10-19T15:25:58Z)
Tuning long-range fermion-mediated interactions in cold-atom quantum simulators [68.8204255655161]
Engineering long-range interactions in cold-atom quantum simulators can lead to exotic quantum many-body behavior. Here, we propose several tuning knobs, accessible in current experimental platforms, that allow to further control the range and shape of the mediated interactions.
arXiv Detail & Related papers (2022-03-31T13:32:12Z)
Dispersive readout of molecular spin qudits [68.8204255655161]
We study the physics of a magnetic molecule described by a "giant" spin with multiple $d > 2$ spin states. We derive an expression for the output modes in the dispersive regime of operation. We find that the measurement of the cavity transmission allows to uniquely determine the spin state of the qudits.
arXiv Detail & Related papers (2021-09-29T18:00:09Z)
Evolution of a Non-Hermitian Quantum Single-Molecule Junction at Constant Temperature [62.997667081978825]
We present a theory for describing non-Hermitian quantum systems embedded in constant-temperature environments. We find that the combined action of probability losses and thermal fluctuations assists quantum transport through the molecular junction.
arXiv Detail & Related papers (2021-01-21T14:33:34Z)

This list is automatically generated from the titles and abstracts of the papers in this site.