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Superconductors hosting long-sought excitations called Majorana fermions may be ultimately used as qubits of fault-tolerant topological quantum computers. A crucial challenge toward the topological quantum computer is to implement quantum…

介观与纳米尺度物理 · 物理学 2015-06-03 Cássio Sozinho Amorim , Kazuto Ebihara , Ai Yamakage , Yukio Tanaka , Masatoshi Sato

Open-system quantum dynamics described by non-Hermitian effective Hamiltonians have become a subject of considerable interest. Studies of non-Hermitian physics have revealed general principles, including relationships between the topology…

量子物理 · 物理学 2023-02-17 Philippe Lewalle , K. Birgitta Whaley

One-dimensional topological superconductors are known to host Majorana zero modes at domain walls terminating the topological phase. Their nonabelian nature allows for processing quantum information by braiding operations which are…

介观与纳米尺度物理 · 物理学 2013-11-27 Torsten Karzig , Gil Refael , Felix von Oppen

The boundary of topological superconductors might lead to the appearance of Majorana edge modes, whose non-trivial exchange statistics can be used for topological quantum computing. In branched nanowire networks one can exchange Majorana…

介观与纳米尺度物理 · 物理学 2020-09-09 C. Tutschku , R. W. Reinthaler , C. Lei , A. H. MacDonald , E. M. Hankiewicz

A shortcut-to-adiabaticity is compared with a numerically optimized protocol for implementing a high-fidelity quantum gate on Rydberg atoms. The counterdiabatic method offers an analytical framework for accelerating high-fidelity gates by…

量子物理 · 物理学 2025-11-13 Luis S. Yagüe Bosch , Sandro Wimberger

This work explores the relationship between optimal control theory and adiabatic passage techniques in quantum systems. The study is based on a geometric analysis of the Hamiltonian dynamics constructed from the Pontryagin Maximum…

量子物理 · 物理学 2015-06-11 E. Assémat , D. Sugny

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

Topological quantum information processing relies on adiabatic braiding of nonabelian quasiparticles. Performing the braiding operations in finite time introduces transitions out of the ground-state manifold and deviations from the…

介观与纳米尺度物理 · 物理学 2015-05-29 Torsten Karzig , Falko Pientka , Gil Refael , Felix von Oppen

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

The goal of this paper is to introduce building blocks for adiabatic quantum algorithms. Adiabatic quantum computing uses the principle of quantum annealing, which implies that a carefully controlled energy solution is optimal and…

量子物理 · 物理学 2014-08-27 Richard H. Warren

Geometric phase has the intrinsic property of being resistant to some types of local noises as it only depends on global properties of the evolution path. Meanwhile, the non-Abelian geometric phase is in the matrix form, and thus can…

量子物理 · 物理学 2023-07-28 Yan Liang , Pu Shen , Tao Chen , Zheng-Yuan Xue

Reliable quantum information technologies depend on precise actuation and techniques to mitigate the effects of undesired disturbances such as environmental noise and imperfect calibration. In this work, we present a general framework based…

量子物理 · 物理学 2024-09-20 Joshua Hanson , Dennis Lucarelli

Quantum control, which refers to the active manipulation of physical systems described by the laws of quantum mechanics, constitutes an essential ingredient for the development of quantum technology. Here we apply Differentiable Programming…

强关联电子 · 物理学 2021-06-16 Luuk Coopmans , Di Luo , Graham Kells , Bryan K. Clark , Juan Carrasquilla

Adiabatic evolution is a powerful technique in quantum information and computation. However, its performance is limited by the adiabatic theorem of quantum mechanics. In this scenario, shortcuts to adiabaticity, such as provided by the…

量子物理 · 物理学 2016-03-17 Alan C. Santos

Among the major approaches that are being pursued for realizing quantum bits, the Majorana-based platform has been the most recent to be launched. It attempts to realize qubits which store quantum information in a topologically-protected…

介观与纳米尺度物理 · 物理学 2021-03-10 Karsten Flensberg , Felix von Oppen , Ady Stern

Majorana fermions hold promise for quantum computation, because their non-Abelian braiding statistics allows for topologically protected operations on quantum information. Topological qubits can be constructed from pairs of well-separated…

量子物理 · 物理学 2013-07-31 T. Hyart , B. van Heck , I. C. Fulga , M. Burrello , A. R. Akhmerov , C. W. J. Beenakker

Quantum computation with quantum gates induced by geometric phases is regarded as a promising strategy in fault tolerant quantum computation, due to its robustness against operational noises. However, because of the parametric restriction…

Determination of optimal control protocols for Majorana zero modes during their exchange is a crucial step towards the realisation of the topological quantum computer. In this paper, we study the finite-time exchange process of Majorana…

介观与纳米尺度物理 · 物理学 2025-07-22 Tomasz Maciazek , Mia Conlon

We study a series of dynamical protocols which involve periodically driving a quantum dot coupled to a putative nanowire hosting Majorana zero modes (MZMs) to i) reduce the hybridization between MZMs, ii) improve the coherence of the…

介观与纳米尺度物理 · 物理学 2022-04-18 Brett Min , Bastien Fajardo , T. Pereg-Barnea , Kartiek Agarwal

Adiabatic state engineering is a powerful technique in quantum information and quantum control. However, its performance is limited by the adiabatic theorem of quantum mechanics. In this scenario, shortcuts to adiabaticity, such as provided…

量子物理 · 物理学 2015-11-03 Alan C. Santos , Marcelo S. Sarandy