Nonadiabatic braiding of Majorana modes

• URL: http://arxiv.org/abs/2503.00953v1
• Date: Sun, 02 Mar 2025 16:17:51 GMT
• Title: Nonadiabatic braiding of Majorana modes
• Authors: Fei Yu, P. Z. Zhao, Jiangbin Gong,
• Abstract summary: We propose a nonadiabatic and non-Abelian geometry phase-based protocol to execute operations on Majorana zero modes.<n>This work offers a potential pathway towards the nonadiabatic and fault-tolerant control of Majorana zero modes.
• Score: 1.3440879776910297
• License: http://creativecommons.org/licenses/by-sa/4.0/
• Abstract: The realization and manipulation of Majorana zero modes have drawn significant attention for their crucial role in enabling topological quantum computation. Conventional approaches to the braiding of Majorana zero modes rely on adiabatic processes. In this work, using a composite 2-Kitaev-chain system accommodating Majorana zero modes as a working example, we propose a nonadiabatic and non-Abelian geometry phase-based protocol to execute operations on these Majorana zero modes. This is possible by locally coupling the edge sites of both quantum chains with an embedded lattice defect, successfully simulating the braiding operation of two Majorana modes in a highly nonadiabatic fashion. To further enhance the robustness against control imperfections, we apply a multiple-pulse composite strategy to our quantum chain setting for second-order protection of the braiding operations. Our proposal can also support the fast and robust realization of the {\pi}/8 gate, an essential ingredient for universal quantum computation. This work hence offers a potential pathway towards the nonadiabatic and fault-tolerant control of Majorana zero modes.

Related papers

• Cavity Control of Topological Qubits: Fusion Rule, Anyon Braiding and Majorana-Schrödinger Cat States [39.58317527488534]
  We investigate the impact of introducing a local cavity within the center of a topological chain. This cavity induces a scissor-like effect that bisects the chain, liberating Majorana zero modes (MZMs) within the bulk. By leveraging the symmetry properties of fermion modes within a two-site cavity, we propose a novel method for generating MZM-polariton Schr"odinger cat states.
  arXiv  Detail & Related papers  (2024-09-06T18:00:00Z)
• 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. 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)
• 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)
• Isolated zero mode in a quantum computer from a duality twist [0.0]
  We investigate the interplay of dualities, generalized symmetries, and topological defects beyond theoretical models. A simple model exhibiting this physics is the transverse-field Ising model, which can host atopological defect. When acting on one point in space, this duality defect imposes the duality twisted boundary condition and a single zero mode.
  arXiv  Detail & Related papers  (2023-08-04T15:31:07Z)
• Quantum Gate Optimization for Rydberg Architectures in the Weak-Coupling Limit [55.05109484230879]
  We demonstrate machine learning assisted design of a two-qubit gate in a Rydberg tweezer system. We generate optimal pulse sequences that implement a CNOT gate with high fidelity. We show that local control of single qubit operations is sufficient for performing quantum computation on a large array of atoms.
  arXiv  Detail & Related papers  (2023-06-14T18:24:51Z)
• 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)
• High-fidelity parallel entangling gates on a neutral atom quantum computer [41.74498230885008]
  We report the realization of two-qubit entangling gates with 99.5% fidelity on up to 60 atoms in parallel. These advances lay the groundwork for large-scale implementation of quantum algorithms, error-corrected circuits, and digital simulations.
  arXiv  Detail & Related papers  (2023-04-11T18:00:04Z)
• Dynamics simulation of braiding two Majorana-zero-modes via a quantum dot [6.1508879390647975]
  We show the strong nonadiabatic effect when the dot energy level approaches to zero. We propose and illustrate a more feasible scheme to suppress the nonadiabatic transition.
  arXiv  Detail & Related papers  (2023-04-09T16:28:33Z)
• 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)
• Multiplicative Majorana zero-modes [0.0]
  We show the minimum four textitunpaired Majorana zero-modes required for a topological qubit according to braiding schemes. We introduce multiplicative Majorana zero-modes as topologically-protected boundary states of both one and two-dimensional multiplicative topological phases.
  arXiv  Detail & Related papers  (2023-01-07T02:00:32Z)
• Non-Abelian braiding of graph vertices in a superconducting processor [144.97755321680464]
  Indistinguishability of particles is a fundamental principle of quantum mechanics. braiding of non-Abelian anyons causes rotations in a space of degenerate wavefunctions. We experimentally verify the fusion rules of the anyons and braid them to realize their statistics.
  arXiv  Detail & Related papers  (2022-10-19T02:28:44Z)
• Multi-squeezed state generation and universal bosonic control via a driven quantum Rabi model [68.8204255655161]
  Universal control over a bosonic degree of freedom is key in the quest for quantum-based technologies. Here we consider a single ancillary two-level system, interacting with the bosonic mode of interest via a driven quantum Rabi model. We show that it is sufficient to induce the deterministic realization of a large class of Gaussian and non-Gaussian gates, which in turn provide universal bosonic control.
  arXiv  Detail & Related papers  (2022-09-16T14:18:53Z)
• Rotating Majorana Zero Modes in a disk geometry [75.34254292381189]
  We study the manipulation of Majorana zero modes in a thin disk made from a $p$-wave superconductor. We analyze the second-order topological corner modes that arise when an in-plane magnetic field is applied. We show that oscillations persist even in the adiabatic phase because of a frequency independent coupling between zero modes and excited states.
  arXiv  Detail & Related papers  (2021-09-08T11:18:50Z)
• 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)
• Error mitigation and quantum-assisted simulation in the error corrected regime [77.34726150561087]
  A standard approach to quantum computing is based on the idea of promoting a classically simulable and fault-tolerant set of operations. We show how the addition of noisy magic resources allows one to boost classical quasiprobability simulations of a quantum circuit.
  arXiv  Detail & Related papers  (2021-03-12T20:58:41Z)

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.