Negative Hybridization: a Potential Cure for Braiding with Imperfect Majorana Modes

• URL: http://arxiv.org/abs/2602.09107v1
• Date: Mon, 09 Feb 2026 19:00:19 GMT
• Title: Negative Hybridization: a Potential Cure for Braiding with Imperfect Majorana Modes
• Authors: Cole Peeters, Themba Hodge, Stephan Rachel,
• Abstract summary: Majorana zero modes suffer from hybridization as their wavefunctions begin to overlap.<n>Here we show that the energy splitting of the Majorana zero modes can become negative, which can be utilized to reduce the average hybridization energy of the total gate.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Majorana zero modes, the elementary building blocks for the quantum bits of topological quantum computers, are known to suffer from hybridization as their wavefunctions begin to overlap. This breaks the ground state degeneracy, splitting their energy levels and leading to an accumulation of error when performing topological quantum gates. Here we show that the energy splitting of the Majorana zero modes can become negative, which can be utilized to reduce the average hybridization energy of the total gate. We present two illustrative examples where negative hybridization suppresses gate errors to such an extent that they remain below the fault-tolerance threshold. As an intrinsic property of Majorana zero modes, negative hybridization enables systems based on imperfect Majorana zero modes to regain functionality for quantum information processing.

Related papers

• Entanglement between quantum dots transmitted via Majorana wire: Insights from the fermionic negativity, concurrence and quantum mutual information [0.0]
  We study quantum entanglement in a system comprising two quantum dots interconnected through a superconducting nanowire.<n>In the absence of electron correlations, the optimal entanglement occurs when the energy levels coincide with the zero-energy Majorana modes.<n>We propose recipes for robust finite-temperature entanglement transmission via Majorana modes.
  arXiv  Detail & Related papers  (2026-03-04T14:21:30Z)
• Magic for Hybrid Boson-Fermion Systems: A Grassmann Phase-Space Approach [42.13843953705695]
  Non-stabilizerness enables universality beyond Gaussian/Clifford dynamics.<n>No resource theory exists for systems combining bosonic and fermionic modes.<n>We develop a phase-space framework defining hybrid magic via the $L_p$ norm of a hybrid Wigner function.
  arXiv  Detail & Related papers  (2025-09-05T17:22:54Z)
• 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.<n>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)
• The multimode conditional quantum Entropy Power Inequality and the squashed entanglement of the multimode extreme 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.<n>Bosonic quantum systems constitute the mathematical model for the electromagnetic radiation in the quantum regime.
  arXiv  Detail & Related papers  (2024-10-18T13:59:50Z)
• Characterizing Dynamic Majorana Hybridization for Universal Quantum Computing [0.0]
  Qubits built out of Majorana zero modes (MZMs) have long been theorized as a potential pathway toward fault-tolerant topological quantum computation.<n>This work presents a simple but precise method to predict qubit errors for dynamic hybridization which varies in space and time.<n>We demonstrate how to utilize the hybridization to implement not only arbitrary one-qubit rotations but also a two-qubit controlled variable phase gate.
  arXiv  Detail & Related papers  (2024-03-04T21:00:36Z)
• Towards Efficient Quantum Hybrid Diffusion Models [68.43405413443175]
  We propose a new methodology to design quantum hybrid diffusion models. We propose two possible hybridization schemes combining quantum computing's superior generalization with classical networks' modularity.
  arXiv  Detail & Related papers  (2024-02-25T16:57:51Z)
• Toolbox for nonreciprocal dispersive models in circuit QED [41.94295877935867]
  We provide a systematic method for constructing effective dispersive Lindblad master equations to describe weakly anharmonic superconducting circuits coupled by a generic dissipationless nonreciprocal linear system. Results can be used for the design of complex superconducting quantum processors with nontrivial routing of quantum information, as well as quantum simulators of condensed matter systems.
  arXiv  Detail & Related papers  (2023-12-13T18:44:55Z)
• 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)
• Accelerated adiabatic passage in cavity magnomechanics [0.0]
  Cavity magnomechanics provides a readily-controllable hybrid system, that consisted of cavity mode, magnon mode, and phonon mode, for quantum state manipulation. We propose two accelerated adiabatic-passage protocols based on the counterdiabatic Hamiltonian for transitionless quantum driving.
  arXiv  Detail & Related papers  (2022-01-29T09:24:34Z)
• Hardware-Efficient, Fault-Tolerant Quantum Computation with Rydberg Atoms [55.41644538483948]
  We provide the first complete characterization of sources of error in a neutral-atom quantum computer. We develop a novel and distinctly efficient method to address the most important errors associated with the decay of atomic qubits to states outside of the computational subspace. Our protocols can be implemented in the near-term using state-of-the-art neutral atom platforms with qubits encoded in both alkali and alkaline-earth atoms.
  arXiv  Detail & Related papers  (2021-05-27T23:29:53Z)
• 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.