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Algorithms based on non-unitary evolution have attracted much interest for ground state preparation on quantum computers. One recently proposed method makes use of ancilla qubits and controlled unitary operators to implement weak…

量子物理 · 物理学 2025-12-25 Tobias Stollenwerk , Stuart Hadfield

The recent progress of the Majorana experiments paves a way for the future tests of non-abelian braiding statistics and topologically-protected quantum information processing. However, a deficient design in those tests could be very…

量子物理 · 物理学 2023-09-29 Peng Qian , Dong E. Liu

Majorana-based quantum computation seeks to encode information non-locally in pairs of Majorana zero modes, thereby isolating qubit states from a local noisy environment. In addition to long coherence times, the attractiveness of…

介观与纳米尺度物理 · 物理学 2020-03-18 Christina Knapp , Jukka I. Väyrynen , Roman M. Lutchyn

We consider the problem of bound states in strongly anisotropic ferromagnetic impurities in a superconductor, motivated by recent experiments that claim to observe Majorana modes at the ends of ferromagnetic wires on a superconducting…

超导电性 · 物理学 2015-09-22 Jay D. Sau , P. M. R. Brydon

We investigate the occurrence of Majorana modes in semiconductor quantum wires in close proximity with a superconductor and when both, Rashba interaction and magnetic field, are present. We consider long, but finite, multiband wires…

介观与纳米尺度物理 · 物理学 2012-10-22 Jong Soo Lim , Llorens Serra , Rosa Lopez , Ramon Aguado

We study a Majorana-carrying quantum wire, driven into a trivial phase by breaking the spatial inversion symmetry with a tilted external magnetic field. Interestingly, we predict that a supercurrent applied in the proximate superconductor…

介观与纳米尺度物理 · 物理学 2013-02-18 Xiong-Jun Liu , Alejandro M. Lobos

Identifying realistic platforms capable of controlled operations with Majorana bound states is a key challenge in the study of topological superconductivity. Among the most promising proposals are magnet-superconductor hybrid devices, which…

介观与纳米尺度物理 · 物理学 2025-05-29 Daniel Hauck , Stefan Rex , Markus Garst

Topological superconductors are predicted to harbor exotic boundary states - Majorana zero-energy modes - whose non-Abelian braiding statistics present a new paradigm for the realization of topological quantum computing. Using…

The creation of topological quantum gates using Majorana zero modes -- an outstanding problem in the field of topological quantum computing -- relies on our ability to control the braiding process of these particles in time and space. Here,…

介观与纳米尺度物理 · 物理学 2023-02-13 Jasmin Bedow , Eric Mascot , Themba Hodge , Stephan Rachel , Dirk K. Morr

Manipulation of decoupled Majorana zero modes (MZMs) could enable topologically-protected quantum computing. However, the practical realization of a large number of perfectly decoupled MZMs needed to perform nontrivial quantum computation…

介观与纳米尺度物理 · 物理学 2024-02-20 D. B. Karki , K. A. Matveev , Ivar Martin

State-space models (SSMs), particularly the Mamba architecture, have emerged as powerful alternatives to Transformers for sequence modeling, offering linear-time complexity and competitive performance across diverse tasks. However, their…

机器学习 · 计算机科学 2025-09-30 Ibne Farabi Shihab , Sanjeda Akter , Anuj Sharma

Braiding of Majorana states demonstrates their non-Abelian exchange statistics. One implementation of braiding requires control of the pairwise couplings between all Majorana states in a trijunction device. To have adiabaticity, a…

介观与纳米尺度物理 · 物理学 2024-02-14 Juan Daniel Torres Luna , Sathish R. Kuppuswamy , Anton R. Akhmerov

We theoretically consider the effect of a spatially periodic modulation of the superconducting order parameter on the formation of Majorana fermions induced by a one-dimensional system with magnetic impurities brought into close proximity…

介观与纳米尺度物理 · 物理学 2016-04-19 Silas Hoffman , Jelena Klinovaja , Daniel Loss

As the complexity of quantum systems such as quantum bit arrays increases, efforts to automate expensive tuning are increasingly worthwhile. We investigate machine learning based tuning of gate arrays using the CMA-ES algorithm for the case…

介观与纳米尺度物理 · 物理学 2023-03-21 Matthias Thamm , Bernd Rosenow

The realization and manipulation of Majorana zero modes is a key step in achieving topological quantum computation. In this paper, we demonstrate the existence of Majorana corner states in a superconductor-insulators-superconductor vertical…

超导电性 · 物理学 2025-09-17 Cheng-Ming Miao , Yu-Hao Wan , Ying-Tao Zhang , Qing-Feng Sun

Majorana bound states in topological superconductors have attracted intense research activity in view of applications in topological quantum computation. However, they are not the only example of topological bound states that can occur in…

介观与纳米尺度物理 · 物理学 2022-03-18 Lucia Vigliotti , Fabio Cavaliere , Matteo Carrega , Niccolò Traverso Ziani

In topological quantum computing, unitary operations on qubits are performed by adiabatic braiding of non-Abelian quasiparticles, such as Majorana zero modes, and are protected from local environmental perturbations. In the adiabatic…

介观与纳米尺度物理 · 物理学 2017-08-29 Armin Rahmani , Babak Seradjeh , Marcel Franz

Majorana-based quantum computing seeks to use the non-local nature of Majorana zero modes to store and manipulate quantum information in a topologically protected way. While noise is anticipated to be significantly suppressed in such…

量子物理 · 物理学 2018-09-11 Christina Knapp , Michael Beverland , Dmitry I. Pikulin , Torsten Karzig

Topology-related ideas might lead to noise-resilient quantum computing. For example, it is expected that the slow spatial exchange (`braiding') of Majorana zero modes in superconductors yields quantum gates that are robust against disorder.…

介观与纳米尺度物理 · 物理学 2024-03-13 Péter Boross , András Pályi

Topological superconductivity supports exotic Majorana bound states (MBS) which are chargeless zero-energy emergent quasiparticles. With their non-Abelian exchange statistics and fractionalization of a single electron stored nonlocally as a…

介观与纳米尺度物理 · 物理学 2020-04-08 Tong Zhou , Matthieu C. Dartiailh , William Mayer , Jong E. Han , Alex Matos-Abiague , Javad Shabani , Igor Zutic