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The list of quantum mechanical systems with non-Abelian statistics has recently been expanded by including generic spin-orbit-coupled semiconductors e.g., InAs) in proximity to a s-wave superconductor. Demonstration of the anyonic…

强关联电子 · 物理学 2011-08-24 Jay D. Sau , Sumanta Tewari , S. Das Sarma

Majorana zero modes (MZMs) promise a platform for topologically protected fermionic quantum computation. However, creating multiple MZMs and generating (directly or via measurements) the requisite transformations (e.g., braids) pose…

量子物理 · 物理学 2022-05-06 Campbell K. McLauchlan , Benjamin Béri

We investigate quantum transport in a hybrid system composed of two quantum dots (QDs) coupled through a pair of spatially separated Majorana zero modes (MZMs) with negligible coupling energy. We focus on nonlocal correlations mediated by…

介观与纳米尺度物理 · 物理学 2026-03-05 Sirui Yu , Hong Mao , Jinshuang Jin , Chui-Ping Yang

We study dynamics of a single qubit encoded in two pairs of Majorana modes, whereby each pair is hosted on a trijunction described by the Kitaev model extended by many-body interactions. We demonstrated that the challenging phase-gate may…

超导电性 · 物理学 2020-01-09 Andrzej Więckowski , Marcin Mierzejewski , Michał Kupczyński

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…

We investigate non-Abelian statistics of Majorana Kramers pairs (MKPs) in a network system of one-dimensional time-reversal invariant topological superconductors by using numerical simulations of braiding dynamics, and examine the tolerance…

超导电性 · 物理学 2022-09-01 Yuki Tanaka , Takumi Sanno , Takeshi Mizushima , Satoshi Fujimoto

Braiding of Majorana zero modes provides a promising platform for quantum information processing, which is topologically protected against errors. Strictly speaking, however, the scheme relies on infinite braiding times as it utilizes the…

介观与纳米尺度物理 · 物理学 2015-05-18 Torsten Karzig , Armin Rahmani , Felix von Oppen , Gil Refael

We propose a three-terminal structure to probe robust signatures of Majorana zero modes. This structure consists of a quantum dot coupled to the normal metal, s-wave superconducting and Majorana Y-junction leads. The zero-bias differential…

介观与纳米尺度物理 · 物理学 2022-02-01 Guan-Hao Feng , Hong-Hao Zhang

One of the main challenges for quantum computation is that while the number of gates required to perform a non-trivial quantum computation may be very large, decoherence and errors in realistic quantum architectures limit the number of…

量子物理 · 物理学 2020-06-24 Alan Tran , Alex Bocharov , Bela Bauer , Parsa Bonderson

Topological stability is an important property for topological materials. However, the non-Hermitian effects may change this situation. Here, we investigate the robustness of edge states in the non-Hermitian Kitaev chain with imbalanced…

超导电性 · 物理学 2021-12-08 Xiao-Ming Zhao , Cui-Xian Guo , Su-Peng Kou , Lin-Zhuang , Wu-Ming Liu

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…

Majorana zero modes are localized quasiparticles that obey non-Abelian exchange statistics. Braiding Majorana zero modes forms the basis of topologically protected quantum operations which could in principle significantly reduce qubit…

介观与纳米尺度物理 · 物理学 2019-11-14 Hao Zhang , Dong E. Liu , Michael Wimmer , Leo P. Kouwenhoven

The issue on the effect of interactions in topological states concerns not only interacting topological phases but also novel symmetry-breaking phases and phase transitions. Here we study the interaction effect on Majorana zero modes (MZMs)…

强关联电子 · 物理学 2018-10-31 Y. Kamiya , A. Furusaki , J. C. Y. Teo , G. -W. Chern

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

We propose the concept of a device based on a square-shaped sample of a two-dimensional second-order topological helical superconductor which hosts two zero-dimensional Majorana quasiparticles at the corners. The two zero-energy modes rely…

介观与纳米尺度物理 · 物理学 2020-09-23 Tudor E. Pahomi , Manfred Sigrist , Alexey A. Soluyanov

The possibility to engineer artificial Kitaev chains in arrays of quantum dots coupled via narrow superconducting regions has emerged as an attractive way to overcome the disorder issues that complicate the realization and detection of…

介观与纳米尺度物理 · 物理学 2024-06-25 Athanasios Tsintzis , Rubén Seoane Souto , Karsten Flensberg , Jeroen Danon , Martin Leijnse

There has been experimental evidence for the Majorana zero modes (MZMs) in solid state systems, which are building blocks for potential topological quantum computing. It is important to design devices, in which MZMs are easy to manipulate…

超导电性 · 物理学 2023-09-20 Chuang Li , Xun-Jiang Luo , Li Chen , Dong E. Liu , Fu-Chun Zhang , Xin Liu

Majorana zero modes in one-dimensional topological superconductors obey non-Abelian braiding statistics. Braiding manipulations can be realized by controlling Coulomb couplings in hybrid Majorana-transmon devices. However, strong disorder…

量子物理 · 物理学 2015-06-16 I. C. Fulga , B. van Heck , M. Burrello , T. Hyart

Braiding of Majorana states demonstrates their non-Abelian exchange statistics. One implementation of braiding requires control of the pairwise couplings between all Majorana states in a trijunction device. To have adiabaticity, a…

介观与纳米尺度物理 · 物理学 2024-02-14 Juan Daniel Torres Luna , Sathish R. Kuppuswamy , Anton R. Akhmerov

Majorana bound states are zero-energy excitations of topological superconductors which obey non-Abelian exchange statistics and are basic building blocks for topological quantum computation. In order to observe and exploit their…

介观与纳米尺度物理 · 物理学 2020-01-03 Alessio Calzona , Björn Trauzettel