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We investigate a hybrid quantum system involving spin qubits, based on the spins of electrons confined in quantum dots, and topological qubits, based on Majorana fermions. In such a system, gated control of the charge on the quantum dots…

介观与纳米尺度物理 · 物理学 2013-01-10 Martin Leijnse , Karsten Flensberg

Fault-tolerant quantum computing in systems composed of both Majorana fermions and topologically unprotected quantum systems, e.g. superconducting circuits or quantum dots, is studied in this paper. Errors caused by topologically…

量子物理 · 物理学 2016-09-21 Ying Li

We provide a conceptual framework for developing a scalable topological quantum computer. It relies on forming Majorana fermions using circular electronic gates in two-dimensional p-wave superconductors. The gates allow the precise control…

介观与纳米尺度物理 · 物理学 2020-11-19 Ji Ung Lee

Topological quantum computation using non-Abelian Majorana zero modes localized in proximitized semiconductor nanowires requires careful electrostatic control of wire-junctions so as to manipulate and braid the zero modes enabling anyonic…

介观与纳米尺度物理 · 物理学 2018-01-16 Tudor D. Stanescu , Sankar Das Sarma

The non-Abelian braiding of Majorana fermions is one of the most promising operations providing a key building block for the realization of topological quantum computation. Recently, the chiral Majorana fermions were observed in a hybrid…

介观与纳米尺度物理 · 物理学 2019-05-29 Yan-Feng Zhou , Zhe Hou , Qing-Feng Sun

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…

Electron transport through the T-shaped quantum-dot (QD) structure is theoretically investigated, by considering a Majorana zero mode coupled to the terminal QD. It is found that in the double-QD case, the presence of the Majorana zero mode…

介观与纳米尺度物理 · 物理学 2015-06-17 Wei-Jiang Gong , Shu-Feng Zhang , Zhi-Chao Li , Guangyu Yi , Yi-Song Zheng

Topological quantum computation encodes quantum information nonlocally by nucleating non-Abelian anyons separated by distances $L$, typically spanning the qubit device size. This nonlocality renders topological qubits exponentially immune…

介观与纳米尺度物理 · 物理学 2020-02-04 Ryan V. Mishmash , Bela Bauer , Felix von Oppen , Jason Alicea

Topological superconductors can host Majorana quasiparticles which supersede the fermion/boson dichotomy and offer a pathway to fault tolerant quantum computation. In one-dimensional systems zero-energy Majorana states are bound to the ends…

Majorana Zero Modes (MZMs) are prime candidates for robust topological quantum bits, holding a great promise for quantum computing. Semiconducting nanowires with strong spin orbit coupling offers a promising platform to harness…

The realization of quantum gates in topological quantum computation still confronts significant challenges in both fundamental and practical aspects. Here, we propose a deterministic and fully topologically protected measurement-based…

介观与纳米尺度物理 · 物理学 2024-09-10 Su-Qi Zhang , Jian-Song Hong , Yuan Xue , Xun-Jiang Luo , Li-Wei Yu , Xiong-Jun Liu , Xin Liu

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

Topological quantum computation by way of braiding of Majorana fermions is not universal quantum computation. There are several attempts to make universal quantum computation by introducing some additional quantum gates or quantum states.…

量子物理 · 物理学 2024-07-12 Motohiko Ezawa

Among the list of major threats to quantum computation, quantum decoherence poses one of the largest because it generates losses to the environment within a computational system which cannot be recovered via error correction methods. These…

量子物理 · 物理学 2022-01-17 Adrian Scheppe , Michael Pak

We show how a quantum dot with a ballistic single-channel point contact to a superconductor can be created by means of a gate electrode at the edge of a quantum spin Hall insulator (such as an InAs/GaSb quantum well). A weak perpendicular…

介观与纳米尺度物理 · 物理学 2013-06-26 Shuo Mi , D. I. Pikulin , M. Wimmer , C. W. J. Beenakker

We study the stability of the topological quantum computation proposals involving Majorana fermions against thermal fluctuations. We use a minimal realistic model of a spinless px+ipy superconductor and consider effect of excited midgap…

超导电性 · 物理学 2012-04-25 Meng Cheng , Roman M. Lutchyn , S. Das Sarma

We analyze propagation of quantum information along chiral Majorana edge states in two-dimensional topological materials. The use of edge states may facilitate the braiding operation, an important ingredient in topological quantum…

介观与纳米尺度物理 · 物理学 2023-09-27 Igor Timoshuk , Konstantin Tikhonov , Yuriy Makhlin

Schemes for topological quantum computation with Majorana bound states rely heavily on the ability to measure products of Majorana operators projectively. Here, we employ Markovian quantum measurement theory, including the readout device,…

介观与纳米尺度物理 · 物理学 2020-08-26 Jacob F. Steiner , Felix von Oppen

Andreev bound states in hybrid superconductor-semiconductor devices can have near-zero energy in the topologically trivial regime as long as the confinement potential is sufficiently smooth. These quasi-Majorana states show zero-bias…

介观与纳米尺度物理 · 物理学 2019-11-13 A. Vuik , B. Nijholt , A. R. Akhmerov , M. Wimmer

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