Fast and high-fidelity transfer of edge states via dynamical control of topological phases and effects of dissipation

• URL: http://arxiv.org/abs/2505.16606v1
• Date: Thu, 22 May 2025 12:40:48 GMT
• Title: Fast and high-fidelity transfer of edge states via dynamical control of topological phases and effects of dissipation
• Authors: Yuuki Kanda, Yusuke Fujisawa, Kousuke Yakubo, Norio Kawakami, Hideaki Obuse,
• Abstract summary: Topological edge states are robust against symmetry-preserving perturbations and noise, making them promising for quantum information and computation.<n>We propose a high-fidelity method for transferring one-dimensional topological edge states by dynamically moving a domain wall.<n>We demonstrate effectiveness of our method in transferring edge states with high fidelity using a one-dimensional quantum walk with two internal states.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Topological edge states are robust against symmetry-preserving perturbations and noise, making them promising for quantum information and computation, particularly in topological quantum computation through braiding operations of Majorana quasiparticles. Realizing these applications requires fast and high-fidelity dynamic control of edge states. In this work, we theoretically propose a high-fidelity method for transferring one-dimensional topological edge states by dynamically moving a domain wall between regions of different topological numbers. This method fundamentally relies on Lorentz invariance and relativistic effects, as moving the domain wall at a constant speed results in the problem into the uniform linear motion of a particle obeying a Dirac equation. We demonstrate effectiveness of our method in transferring edge states with high fidelity using a one-dimensional quantum walk with two internal states, which is feasible with current experimental technology. We also investigate how bit and phase-flip dissipation from environment affects transfer efficiency. Remarkably, these dissipation have minimal effects on efficiency at slow and fast transfer limits, respectively, which can be explained by relativistic effects to the edge states.

Related papers

• Rabi transport and the other finite-size effects in one-dimensional discrete-time topological quantum walk [0.0]
  We show the emergence of localized states at boundaries between topologically distinct phases in one-dimensional quantum walks.<n>For finite lattices, we show that topology induces localized and bilocalized states, leading to Rabi-like transport as a result of degeneracy breaking due to finite-size effects.
  arXiv  Detail & Related papers  (2025-06-24T11:22:37Z)
• Error mitigation of shot-to-shot fluctuations in analog quantum simulators [46.54051337735883]
  We introduce an error mitigation technique that addresses shot-to-shot fluctuations in the parameters for the Hamiltonian governing the system dynamics.<n>We rigorously prove that amplifying this shot-to-shot noise and extrapolating to the zero-noise limit recovers noiseless results for realistic noise distributions.<n> Numerically, we predict a significant enhancement in the effective many-body coherence time for Rydberg atom arrays under realistic conditions.
  arXiv  Detail & Related papers  (2025-06-19T18:00:00Z)
• Implicit Neural Surface Deformation with Explicit Velocity Fields [47.610773635281085]
  We introduce the first unsupervised method that simultaneously predicts time-varying neural implicit surfaces and deformations between pairs of point clouds.<n>Our method is able to handle both rigid and non-rigid deformations without any intermediate shape supervision.
  arXiv  Detail & Related papers  (2025-01-23T19:11:53Z)
• Visualizing Dynamics of Charges and Strings in (2+1)D Lattice Gauge Theories [103.95523007319937]
  We study the dynamics of local excitations in a lattice of superconducting qubits. For confined excitations, the magnetic field induces a tension in the string connecting them. Our method allows us to experimentally image string dynamics in a (2+1)D LGT.
  arXiv  Detail & Related papers  (2024-09-25T17:59:05Z)
• Efficiency of Dynamical Decoupling for (Almost) Any Spin-Boson Model [44.99833362998488]
  We analytically study the dynamical decoupling of a two-level system coupled with a structured bosonic environment. We find sufficient conditions under which dynamical decoupling works for such systems. Our bounds reproduce the correct scaling in various relevant system parameters.
  arXiv  Detail & Related papers  (2024-09-24T04:58:28Z)
• Efficient vacuum state preparation for quantum simulation of strongly interacting local quantum field theories [0.0]
  We present an efficient approach for preparing ground states in the context of strongly interacting local quantum field theories on quantum computers. The approach produces the vacuum state in a time proportional to the square-root of the volume, which is a square-root improvement in speed compared to traditional approaches.
  arXiv  Detail & Related papers  (2023-10-30T02:16:58Z)
• Neural-network quantum states for ultra-cold Fermi gases [49.725105678823915]
  This work introduces a novel Pfaffian-Jastrow neural-network quantum state that includes backflow transformation based on message-passing architecture. We observe the emergence of strong pairing correlations through the opposite-spin pair distribution functions. Our findings suggest that neural-network quantum states provide a promising strategy for studying ultra-cold Fermi gases.
  arXiv  Detail & Related papers  (2023-05-15T17:46:09Z)
• Autonomous coherence protection of a two-level system in a fluctuating environment [68.8204255655161]
  We re-examine a scheme originally intended to remove the effects of static Doppler broadening from an ensemble of non-interacting two-level systems (qubits) We demonstrate that this scheme is far more powerful and can also protect a single (or even an ensemble) qubit's energy levels from noise which depends on both time and space.
  arXiv  Detail & Related papers  (2023-02-08T01:44:30Z)
• Realizing a dynamical topological phase in a trapped-ion quantum simulator [0.0]
  Nascent platforms for programmable quantum simulation offer unprecedented access to new regimes of far-from-equilibrium quantum many-body dynamics. We show how to create, protect, and manipulate quantum entanglement that self-correct against large classes of errors. Our work paves the way for implementation of more complex dynamical topological orders that would enable error-resilient techniques to manipulate quantum information.
  arXiv  Detail & Related papers  (2021-07-20T18:00:00Z)
• Robust stimulated Raman shortcut-to-adiabatic passage by invariant-based optimal control [5.290927777455239]
  We present a robust approach to speed up STIRAP with inversely invariant-based shortcut to adiabaticity. This technique has widely theoretical and experimental applications in many fields of physics, chemistry, and beyond. Results provide an optimal route toward manipulating the evolution of three-level quantum systems in future quantum information processing.
  arXiv  Detail & Related papers  (2021-03-02T00:56:15Z)
• Probing the coherence of solid-state qubits at avoided crossings [51.805457601192614]
  We study the quantum dynamics of paramagnetic defects interacting with a nuclear spin bath at avoided crossings. The proposed theoretical approach paves the way to designing the coherence properties of spin qubits from first principles.
  arXiv  Detail & Related papers  (2020-10-21T15:37:59Z)
• Fast Gravitational Approach for Rigid Point Set Registration with Ordinary Differential Equations [79.71184760864507]
  This article introduces a new physics-based method for rigid point set alignment called Fast Gravitational Approach (FGA) In FGA, the source and target point sets are interpreted as rigid particle swarms with masses interacting in a globally multiply-linked manner while moving in a simulated gravitational force field. We show that the new method class has characteristics not found in previous alignment methods.
  arXiv  Detail & Related papers  (2020-09-28T15:05:39Z)
• Dynamical crossover in the transient quench dynamics of short-range transverse field Ising models [4.16271611433618]
  We study the transient regimes of non-equilibrium processes probed by single-site observables that is magnetization per site. The decay rates of time-dependent and single-site observables exhibit a dynamical crossover that separates two dynamical regions. Our results reveal that scaling law exponent in short times at the close vicinity of the dynamical crossover is significantly different than the one predicted by analytical theory.
  arXiv  Detail & Related papers  (2020-04-26T04:39:51Z)

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.