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The Majorana code is an example of a stabilizer code where the quantum information is stored in a system supporting well-separated Majorana Bound States (MBSs). We focus on one-dimensional realizations of the Majorana code, as well as…

介观与纳米尺度物理 · 物理学 2015-10-09 Fabio L. Pedrocchi , N. E. Bonesteel , David P. DiVincenzo

Because Majorana zero modes store quantum information non-locally, they are protected from noise, and have been proposed as a building block for a quantum computer. We show how to use the same protection from noise to implement universal…

量子物理 · 物理学 2018-06-05 T. E. O'Brien , P. Rożek , A. R. Akhmerov

Chiral superconductors have the ability to host topologically protected Majorana zero modes which have been proposed as future qubits for topological quantum computing. The recently introduced magnet--superconductor hybrid (MSH) systems…

介观与纳米尺度物理 · 物理学 2019-11-27 Eric Mascot , Sagen Cocklin , Stephan Rachel , Dirk K. Morr

The key for realizing fault-tolerant quantum computation lies in maintaining the coherence of all qubits so that high-fidelity and robust quantum manipulations on them can be achieved. One of the promising approaches is to use geometric…

量子物理 · 物理学 2021-10-13 Sai Li , Zheng-Yuan Xue

We propose a scheme for scalable and robust quantum computing on two-dimensional arrays of qubits with fixed longitudinal coupling. This opens the possibility for bypassing the device complexity associated with tunable couplers required in…

量子物理 · 物理学 2023-03-08 Nguyen H. Le , Max Cykiert , Eran Ginossar

We introduce an exactly solvable model of interacting Majorana fermions realizing $Z_{2}$ topological order with a $Z_{2}$ fermion parity grading and lattice symmetries permuting the three fundamental anyon types. We propose a concrete…

介观与纳米尺度物理 · 物理学 2015-12-16 Sagar Vijay , Timothy H. Hsieh , Liang Fu

We consider the combined effect of readout errors and coherent errors, i.e., deterministic phase rotations, on the surface code. We use a recently developed numerical approach, via a mapping of the physical qubits to Majorana fermions. We…

量子物理 · 物理学 2023-09-22 Áron Márton , János K. Asbóth

Majorana-based quantum computation in nanowires and neutral atoms has gained prominence as a promising platform to encode qubits and protect them against noise. In order to run computations reliably on such devices, a fully fault-tolerant…

量子物理 · 物理学 2025-09-17 Maryam Mudassar , Alexander Schuckert , Daniel Gottesman

Recently there have been numerous proposals to create Majorana zero modes in solid state heterojunctions, superconducting wires and optical lattices. Putatively the information stored in qubits constructed from these modes is protected from…

介观与纳米尺度物理 · 物理学 2013-05-29 Garry Goldstein , Claudio Chamon

Topological quantum computing promises intrinsic fault tolerance by encoding quantum information in non-Abelian anyons, where quantum gates are implemented via braiding. While braiding operations are robust against local perturbations, a…

量子物理 · 物理学 2025-08-15 Themba Hodge , Philipp Frey , Stephan Rachel

Majorana zero modes (MZMs), emerging as exotic quasiparticles that carry non-Abelian statistics, hold great promise for achieving fault-tolerant topological quantum computation. A key signature of the presence of MZMs is the zero-bias peaks…

介观与纳米尺度物理 · 物理学 2023-10-31 Mouyang Cheng , Ryotaro Okabe , Abhijatmedhi Chotrattanapituk , Mingda Li

Majorana zero modes (MZMs), promising for topological quantum computation, are naturally hosted in vortices of two-dimensional topological superconductors (TSCs). However, precise control and braiding of these vortex-bound MZMs remains a…

Currently, the mainstream approach to quantum computing is through surface codes. One way to store and manipulate quantum information with these to create defects in the codes which can be moved and used as if they were particles.…

量子物理 · 物理学 2017-05-12 James R. Wootton

We introduce a superconducting qubit architecture that combines high-coherence qubits and tunable qubit-qubit coupling. With the ability to set the coupling to zero, we demonstrate that this architecture is protected from the frequency…

The braiding of two non-Abelian Majorana modes is important for realizing topological quantum computation. It can be achieved through tuning the coupling between the two Majorana modes to be exchanged and two ancillary Majorana modes.…

量子物理 · 物理学 2019-07-24 Zhen-Tao Zhang , Feng Mei , Xiang-Guo Meng , Bao-Long Liang , Zhen-Shan Yang

Majorana fermions are long-sought exotic particles that are their own antiparticles. Here we propose to utilize superconducting circuits to construct two superconducting-qubit arrays where Majorana modes can occur. A so-called Majorana…

超导电性 · 物理学 2014-09-23 J. Q. You , Z. D. Wang , Wenxian Zhang , Franco Nori

We investigate transport properties through a crossbar-shaped structure formed by a quantum dot (QD) coupled to two normal leads and embedded between two one-dimensional topological superconductors (TSCs). Each TSC hosts Majorana bound…

介观与纳米尺度物理 · 物理学 2019-05-23 J. P. Ramos-Andrade , D. Zambrano , P. A. Orellana

Unpaired Majorana zero-modes are central to topological quantum computation schemes as building blocks of topological qubits, and are therefore under intense experimental and theoretical investigation. Their generalizations to parafermions…

介观与纳米尺度物理 · 物理学 2023-06-09 Shu-Wei Liu , Li-kun Shi , Ashley M. Cook

Holographic quantum error-correcting codes have been proposed as toy models that describe key aspects of the AdS/CFT correspondence. In this work, we introduce a versatile framework of Majorana dimers capturing the intersection of…

高能物理 - 理论 · 物理学 2019-11-12 Alexander Jahn , Marek Gluza , Fernando Pastawski , Jens Eisert

We present a general systematic approach to design robust and high-fidelity quantum logic gates with Raman qubits using the technique of composite pulses. We use two mathematical tools -- the Morris-Shore and Majorana decompositions -- to…

量子物理 · 物理学 2020-11-11 Boyan T. Torosov , Nikolay V. Vitanov