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Universal quantum computation (UQC) using Majorana fermions on a 2D topological superconducting (TS) medium remains an outstanding open problem. This is because the quantum gate set that can be generated by braiding of the Majorana fermions…

介观与纳米尺度物理 · 物理学 2010-11-25 Jay D. Sau , Sumanta Tewari , S. Das Sarma

Current proposals for topological quantum computation (TQC) based on Majorana zero modes (MZM) have mostly been focused on coupled-wire architecture which can be challenging to implement experimentally. To explore alternative building…

介观与纳米尺度物理 · 物理学 2024-06-03 Aidan Winblad , Hua Chen

The advancement of information processing into the realm of quantum mechanics promises a transcendence in computational power that will enable problems to be solved which are completely beyond the known abilities of any "classical"…

量子物理 · 物理学 2010-03-16 Parsa Bonderson , Sankar Das Sarma , Michael Freedman , Chetan Nayak

Ettore Majorana, in his short life, unintendedly has uncovered the most profound problem in quantum computation by his discovery of Majorana fermion, a particle which is its own anti-particle. Owing to its non-Abelian exchange statistics,…

介观与纳米尺度物理 · 物理学 2021-08-25 Nur R. Ayukaryana , Mohammad H. Fauzi , Eddwi H. Hasdeo

Majorana-based quantum gates are not complete for performing universal topological quantum computation while Fibonacci-based gates are difficult to be realized electronically and hardly coincide with the conventional quantum circuit models.…

强关联电子 · 物理学 2022-04-07 Ye-Min Zhan , Yu-Ge Chen , Bin Chen , Ziqiang Wang , Yue Yu , Xi Luo

Majorana zero modes (MZMs) are promising candidates for topologically-protected quantum computing hardware, however their large-scale use will likely require quantum error correction. Majorana surface codes (MSCs) have been proposed to…

量子物理 · 物理学 2024-07-18 Campbell McLauchlan , Benjamin Béri

Majorana-fermionic quantum computation (MFQC) was proposed by Bravyi and Kitaev (See Ref.\cite{Kitaev}), in which a fault-torrent (non-topological) quantum computer built from Majorana fermions may be more efficient than that built from…

强关联电子 · 物理学 2015-06-15 Ya-Jie Wu , Jing He , Su-Peng Kou

It is shown that Majorana fermions trapped in three vortices in a p-wave superfluid form a qubit in a topological quantum computing (TQC). Several similar ideas have already been proposed: Ivanov [Phys. Rev. Lett. {\bf 86}, 268 (2001)] and…

量子物理 · 物理学 2015-05-13 Tetsuo Ohmi , Mikio Nakahara

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

We present designs for scalable quantum computers composed of qubits encoded in aggregates of four or more Majorana zero modes, realized at the ends of topological superconducting wire segments that are assembled into superconducting…

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 (TQC) is one of the most striking architectures that can realize fault-tolerant quantum computers. In TQC, the logical space and the quantum gates are topologically protected, i.e., robust against local…

Chiral Majorana fermion is a massless self-conjugate fermion which can arise as the edge state of certain two-dimensonal topological matters. It has been theoretically predicted and experimentally observed in a hybrid device of quantum…

介观与纳米尺度物理 · 物理学 2018-10-10 Biao Lian , Xiao-Qi Sun , Abolhassan Vaezi , Xiao-Liang Qi , Shou-Cheng Zhang

Topological quantum computers provide a fault-tolerant method for performing quantum computation. Topological quantum computers manipulate topological defects with exotic exchange statistics called anyons. The simplest anyon model for…

量子物理 · 物理学 2022-04-01 Yuanye Zhu

Quantum computers are predicted to utilize quantum states to perform memory and to process tasks far faster than those of conventional classical computers. In this paper we show a new road towards building fault tolerance quantum computer…

量子物理 · 物理学 2008-06-10 Su-Peng Kou

Majorana modes, typically arising at the edges of one-dimensional topological superconductors, are considered to be a promising candidate for encoding nonlocal qubits in fault-tolerant quantum computation. Here we propose to exploit the…

量子物理 · 物理学 2020-02-11 Raditya Weda Bomantara , Jiangbin Gong

Majorana zero modes (MZMs) in condensed matter systems have attracted great attention in the past two decades, due to their interesting physics and potential application in topological quantum computing (TQC). However, the topologically…

In search of fault-tolerant topological quantum computation (TQC), zero-bias conductance peak as a necessary signature of Majorana zero modes (MZMs) has been observed in a number of solid-state systems. Here, we present the signature of…

介观与纳米尺度物理 · 物理学 2019-11-13 Guang Yang , Zhaozheng Lyu , Junhua Wang , Jianghua Ying , Xiang Zhang , Jie Shen , Guangtong Liu , Jie Fan , Zhongqing Ji , Xiunian Jing , Fanming Qu , Li Lu

We demonstrate that a combination of Majorana edge modes (MEMs) and Majorana zero modes (MZMs) located in the vortex cores of two-dimensional topological superconductors represent a new platform for the efficient implementation of…

介观与纳米尺度物理 · 物理学 2025-05-15 Jasmin Bedow , Dirk K. Morr

In this paper we present a hybrid scheme for topological quantum computation in a system of cold atoms trapped in an atomic lattice. A topological qubit subspace is defined using Majorana fermions which emerge in a network of atomic Kitaev…

量子物理 · 物理学 2014-02-19 C. Laflamme , M. A. Baranov , P. Zoller , C. V. Kraus
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