Majorana modes in trapped-ion system and their Floquet engineering

• URL: http://arxiv.org/abs/2401.11510v2
• Date: Wed, 22 May 2024 14:59:02 GMT
• Title: Majorana modes in trapped-ion system and their Floquet engineering
• Authors: Ming-Jian Gao, Yu-Peng Ma, Jun-Hong An,
• Abstract summary: 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.
• Score: 0.393259574660092
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Obeying non-Abelian statistics, Majorana fermions holds a promise to implement fault-tolerant quantum computing. It was found that Majorana fermions can be simulated by the zero-energy excitation in a nanowire with strong spin-orbit coupling interacting with an $s$-wave superconductor under a magnetic field. However, the signal of Majorana fermion in that system is obscured by the disorder in the nanowire and the confinement potential at the wire end. Thus, more controllable platforms are desired to simulate Majorana fermions. We here propose an alternative scheme to simulate the Majorana fermions in a trapped-ion system. Our dimerized-ion configuration permits us to generate the Majorana modes not only at zero energy but also at the nonzero ones, which enlarge the family of Majorana modes and supply another qubit carrier for quantum computing. We also investigate the controllability of the Majorana modes by Floquet engineering. It is found that a widely tunable number of Majorana modes are created on demand by applying a periodic driving on the trapped-ion system. Enriching the platforms for simulating Majorana fermions, our result would open another avenue for realizing fault-tolerant quantum computing.

Related papers

• Fusion Dynamics of Majorana Zero Modes [0.0]
  We investigate the fusion dynamics of Majorana zero modes in the spinless Kitaev model, and in a spinfull model describing magnet-superconductor hybrid structures. Our findings confirm for both platforms that fusion dynamics of Majorana zero modes can indeed be used for the readout of Majorana qubits.
  arXiv  Detail & Related papers  (2025-03-12T20:09:17Z)
• Fermion-qubit fault-tolerant quantum computing [39.58317527488534]
  We introduce fermion-qubit fault-tolerant quantum computing, a framework which removes this overhead altogether. We show how our framework can be implemented in neutral atoms, overcoming the apparent inability of neutral atoms to implement non-number-conserving gates. Our framework opens the door to fermion-qubit fault-tolerant quantum computation in platforms with native fermions.
  arXiv  Detail & Related papers  (2024-11-13T19:00:02Z)
• The multimode conditional quantum Entropy Power Inequality and the squashed entanglement of the extreme multimode bosonic Gaussian channels [53.253900735220796]
  Inequality determines the minimum conditional von Neumann entropy of the output of the most general linear mixing of bosonic quantum modes. Bosonic quantum systems constitute the mathematical model for the electromagnetic radiation in the quantum regime.
  arXiv  Detail & Related papers  (2024-10-18T13:59:50Z)
• Emergent Majorana metal from a chiral spin liquid [50.56734933757366]
  We propose a novel mechanism to explain the emergence of an intermediate gapless spin liquid phase (IGP) in the antiferromagnetic Kitaev model. We show that the Majorana spectral function captures the dynamical spin and dimer correlations obtained by the infinite Projectedangled Pair States (iPEPS) an Entsatz.
  arXiv  Detail & Related papers  (2024-05-20T18:00:01Z)
• Characterizing Dynamic Majorana Hybridization for Universal Quantum Computing [0.0]
  This work presents an accessible method to track transitions within the low-energy subspace and predict the output of braids with hybridized Majorana modes. As an application, we characterize Pauli qubit-errors, as demonstrated on an X-gate, critical for the successful operation of any quantum computer.
  arXiv  Detail & Related papers  (2024-03-04T21:00:36Z)
• Braiding-based quantum control of a Majorana qubit built from quantum dots [0.0]
  We describe the dynamics of a Majorana qubit built from quantum dots controlled by time-dependent gate voltages. We provide quantitative guidelines to suppress both diabatic errors and disorder-induced qubit dephasing. Our simulations predict realistic features that are expected to be seen in future braiding experiments with Majorana zero modes and other topological qubit architectures.
  arXiv  Detail & Related papers  (2023-05-15T09:08:37Z)
• Quantum emulation of the transient dynamics in the multistate Landau-Zener model [50.591267188664666]
  We study the transient dynamics in the multistate Landau-Zener model as a function of the Landau-Zener velocity. Our experiments pave the way for more complex simulations with qubits coupled to an engineered bosonic mode spectrum.
  arXiv  Detail & Related papers  (2022-11-26T15:04:11Z)
• 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)
• Probing finite-temperature observables in quantum simulators of spin systems with short-time dynamics [62.997667081978825]
  We show how finite-temperature observables can be obtained with an algorithm motivated from the Jarzynski equality. We show that a finite temperature phase transition in the long-range transverse field Ising model can be characterized in trapped ion quantum simulators.
  arXiv  Detail & Related papers  (2022-06-03T18:00:02Z)
• Hybrid light-matter networks of Majorana zero modes [0.0]
  Topological excitations, such as Majorana zero modes, are a promising route for encoding quantum information. We propose to build such a network by entangling Majorana matter with light in a microwave cavity QED setup.
  arXiv  Detail & Related papers  (2021-03-30T21:00:51Z)
• Programmable quantum simulation of 2D antiferromagnets with hundreds of Rydberg atoms [43.55994393060723]
  Quantum simulation using synthetic systems is a promising route to solve outstanding quantum many-body problems. Here, we use programmable arrays of individual atoms trapped in optical tweezers to implement an iconic many-body problem. We push this platform to an unprecedented regime with up to 196 atoms manipulated with high fidelity.
  arXiv  Detail & Related papers  (2020-12-22T19:00:00Z)
• Emulating quantum teleportation of a Majorana zero mode qubit [13.805666393282454]
  Topological quantum computation based on anyons is a promising approach to achieve fault-tolerant quantum computing. We perform a quantum simulation of topological quantum computing, by teleporting a qubit encoded in the Majorana zero modes of a Kitaev chain.
  arXiv  Detail & Related papers  (2020-09-16T10:32:54Z)
• Teleporting quantum information encoded in fermionic modes [62.997667081978825]
  We consider teleportation of quantum information encoded in modes of a fermionic field. In particular, one is forced to distinguish between single-mode entanglement swapping, and qubit teleportation with or without authentication.
  arXiv  Detail & Related papers  (2020-02-19T14:15:16Z)

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

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.