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A key challenge in scaling quantum computers is the calibration and control of multiple qubits. In solid-state quantum dots, the gate voltages required to stabilize quantized charges are unique for each individual qubit, resulting in a…

The topological phases of random Kitaev $\alpha$-chains are labelled by the number of localized edge Majorana Zero Modes. The critical lines between these phases thus correspond to delocalization transitions for these localized edge…

无序系统与神经网络 · 物理学 2018-10-18 Cecile Monthus

Majorana zero modes (MZMs) are non-Abelian excitations predicted to emerge at the edges of topological superconductors. One proposal for realizing a topological superconductor in one dimension involves a chain of spinless fermions, coupled…

In this paper, we investigate the non-Markovian quantum transport dynamics of a two-terminal Majorana device that is made of an asymmetric topological superconducting chain coupled to two leads. This asymmetric superconducting chain is…

强关联电子 · 物理学 2022-07-20 Chuan-Zhe Yao , Wei-Min Zhang

Exchanging the positions of two non-Abelian anyons transforms between many-body wavefunctions within a degenerate ground-state manifold. This behavior is fundamentally distinct from fermions, bosons and Abelian anyons. Recently, quantum…

介观与纳米尺度物理 · 物理学 2026-02-26 Sebastian Miles , Francesco Zatelli , A. Mert Bozkurt , Michael Wimmer , Chun-Xiao Liu

The Kitaev chain has been extensively explored in the context of uniform couplings, with studies focusing either on purely nearest-neighbor interactions or on systems dominated by long-range superconducting pairing. Building on these…

量子物理 · 物理学 2025-12-25 Rajiv Kumar , Rohit Kumar Shukla , Levan Chotorlishvili , Sunil Kumar Mishra

The recent realization of a two-site Kitaev chain featuring "poor man's Majorana" states demonstrates a path forward in the field of topological superconductivity. Harnessing the potential of these states for quantum information processing,…

We propose a minimalist architecture for achieving various crystalline-symmetry-protected Majorana modes in an array of coupled quantum dots. Our framework is motivated by the recent experimental demonstrations of two-site and three-site…

介观与纳米尺度物理 · 物理学 2024-07-02 Bradraj Pandey , Gonzalo Alvarez , Elbio Dagotto , Rui-Xing Zhang

We solve analytically the problem of a finite length Kitaev chain coupled to a quantum dot (QD), which extends the standard Kitaev chain problem making it more closely related to the quantum dot-semiconductor-superconductor (QD-SM-SC)…

介观与纳米尺度物理 · 物理学 2019-04-03 Chuanchang Zeng , Christopher Moore , Apparao M. Rao , Tudor D. Stanescu , Sumanta Tewari

We consider the Kitaev chain model with finite and infinite range in the hopping and pairing parameters, looking in particular at the appearance of Majorana zero energy modes and massive edge modes. We study the system both in the presence…

强关联电子 · 物理学 2017-06-01 Antonio Alecce , Luca Dell'Anna

Topological states of matter are promising resources for composing fault-tolerant quantum computers, advancing beyond the limitations of current noisy intermediate-scale quantum devices. To enable this progress, a deep understanding of…

量子物理 · 物理学 2024-11-25 Takanori Sugimoto

In semiconducting-superconducting hybrid devices, Andreev bound states (ABSs) can mediate the coupling between quantum dots (QDs), allowing for the realisation of artificial Kitaev chains. In order to engineer Majorana bound states (MBSs)…

Hybrid quantum dot (QD)-superconductor system can be used to realize Majorana zero modes in artificial Kitaev chains. These chains provide a promising platform for the realization of Majorana qubits. Radio-frequency (RF) gate reflectometry…

Few-site Kitaev chains are promising for realizing Majorana zero modes without topological protection but fully nonlocal, which are known as poor man's Majorana modes. While several signatures have already been reported both theoretically…

介观与纳米尺度物理 · 物理学 2024-09-06 Jorge Cayao

We propose the digital quantum simulation of a minimal AdS/CFT model in controllable quantum platforms. We consider the Sachdev-Ye-Kitaev model describing interacting Majorana fermions with randomly distributed all-to-all couplings,…

量子物理 · 物理学 2017-07-27 L. García-Álvarez , I. L. Egusquiza , L. Lamata , A. del Campo , J. Sonner , E. Solano

Protecting qubits from noise is essential for building reliable quantum computers. Topological qubits offer a route to this goal by encoding quantum information non-locally, using pairs of Majorana zero modes. These modes form a shared…

Quasiparticle poisoning errors in Majorana-based qubits are not suppressed by the underlying topological properties, which undermines the usefulness of this proposed platform. This work tackles the errors originating from intrinsically…

量子物理 · 物理学 2025-03-17 Abhijeet Alase , Kevin D. Stubbs , Barry C. Sanders , David L. Feder

Motivated by the fact that the idealized Kitaev chain toy model and the experimental semiconductor-superconductor Majorana nanowire can both host the Majorana zero modes, we theoretically investigate the question to what extent the two…

介观与纳米尺度物理 · 物理学 2023-02-01 Haining Pan , Sankar Das Sarma

Poor man's Majorana Bound States (MBS) arise in minimal Kitaev chains when the parameters are fine-tuned to a sweet spot. We consider an interacting two-site Kitaev chain coupled to a single-mode cavity and show that the sweet spot…

介观与纳米尺度物理 · 物理学 2024-07-18 Álvaro Gómez-León , Marco Schirò , Olesia Dmytruk

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