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We present a new measurement-based scheme for performing braiding operations on Majorana zero modes and for detecting their non-Abelian statistics without moving or hybridizing them. In our scheme, the topological qubit encoded in any pair…

Mesoscale and Nanoscale Physics · Physics 2017-01-04 Sagar Vijay , Liang Fu

To reduce circuit depth when executing Quantum algorithms, it is necessary to maximize qubit connectivity on a near-term quantum processor. While addressing this, we also need to ensure high gate fidelity, suppression of unwanted ZZ…

Quantum Physics · Physics 2026-02-09 Uday Sannigrahi , Amlan Chakrabarti , Swapnil Saha , Shrinjita Biswas

We propose a universal gate set acting on a qubit formed by the degenerate ground states of a Coulomb-blockaded time-reversal invariant topological superconductor island with spatially separated Majorana Kramers pairs: the "Majorana Kramers…

Mesoscale and Nanoscale Physics · Physics 2022-12-05 Constantin Schrade , Liang Fu

We study the coupling between a singlet-triplet qubit realized in a double quantum dot to a topological qubit realized by spatially well-separated Majorana bound states. We demonstrate that the singlet-triplet qubit can be leveraged for…

Mesoscale and Nanoscale Physics · Physics 2019-04-24 Marko J. Rančić , Silas Hoffman , Constantin Schrade , Jelena Klinovaja , Daniel Loss

Majorana zero modes (MZMs)--bearing potential applications for topological quantum computing--are verified in quasi-one-dimensional (1D) Fermion systems, including semiconductor nanowires, magnetic atomic chains, planar Josephson junctions.…

Mesoscale and Nanoscale Physics · Physics 2020-04-29 Shu-guang Cheng , Jie Liu , Haiwen Liu , Hua Jiang , Qing-feng Sun , X. C. Xie

Hybrid semiconductor-superconductor qubits have recently emerged as a promising alternative to traditional platforms, combining material advantages with device-level tunability. A defining feature is their gate-tunable Josephson coupling,…

Simulating computationally hard fermionic systems is a promising application of quantum computing. However, mapping nonlocal fermionic operators to qubits often produces deep circuits, rendering such simulations impractical on near-term…

Quantum Physics · Physics 2025-09-10 D. E. Fisher , S. A. Fldzhyan , D. V. Minaev , S. S. Straupe , M. Yu. Saygin

We analyze charging-energy-protected Majorana-based qubits, focusing on the residual dephasing that is present when the distance between Majorana zero modes (MZMs) is insufficient for full topological protection. We argue that the leading…

Mesoscale and Nanoscale Physics · Physics 2018-05-23 Christina Knapp , Torsten Karzig , Roman Lutchyn , Chetan Nayak

Quantum computation in solid state quantum dots faces two significant challenges: Decoherence from interactions with the environment and the difficulty of generating local magnetic fields for the single qubit rotations. This paper presents…

Quantum Physics · Physics 2007-05-23 C. Stephen Hellberg

As the most central and computationally intensive component of deep neural networks, the execution efficiency of matrix multiplication directly determines the training and inference performance of models. Harnessing the parallel processing…

Quantum Physics · Physics 2026-05-25 Jiaqi Yao , Tianjian Huang , Zipeng Cai , Ding Liu

Qubits based on Majorana zero modes (MZMs) in superconductor-semiconductor nanowires have attracted intense interest due to claims that their error rates are suppressed exponentially with increasing nanowire length or decreasing…

Mesoscale and Nanoscale Physics · Physics 2026-05-25 Abhijeet Alase , Marcus C. Goffage , Maja C. Cassidy , Susan N. Coppersmith

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…

Strongly Correlated Electrons · Physics 2015-06-15 Ya-Jie Wu , Jing He , Su-Peng Kou

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…

Mesoscale and Nanoscale Physics · Physics 2024-06-03 Aidan Winblad , Hua Chen

We investigate the non-adiabatic processes occurring during the manipulations of Majorana qubits in 1-D semiconducting wires with proximity induced superconductivity. Majorana qubits are usually protected by the excitation gap. Yet,…

Mesoscale and Nanoscale Physics · Physics 2013-09-03 Mathias S. Scheurer , Alexander Shnirman

Numerical calculations for Majorana zero modes on a one-dimensional chain are performed using the technique of block diagonalization for general parameter settings. It is found that Majorana zero modes occur near the ends of the chain and…

Quantum Physics · Physics 2014-08-20 Lei Chen , W. LiMing , Jia-Hui Huang

After a decade of intense theoretical and experimental efforts, demonstrating braiding of Majorana modes remains an unsolved problem in condensed matter physics due to platform specific challenges. In this work, we propose topological…

Mesoscale and Nanoscale Physics · Physics 2022-10-20 Shiva T. Konakanchi , Jukka I. Väyrynen , Yong P. Chen , Pramey Upadhyaya , Leonid P. Rokhinson

The realization and manipulation of Majorana zero modes is a key step in achieving topological quantum computation. In this paper, we demonstrate the existence of Majorana corner states in a superconductor-insulators-superconductor vertical…

Superconductivity · Physics 2025-09-17 Cheng-Ming Miao , Yu-Hao Wan , Ying-Tao Zhang , Qing-Feng Sun

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…

Topological quantum computation based on Majorana objects is subject to a significant challenge because at least some of the two-qubit quantum gates rely on the fermion (either charge or spin) parity of the qubits. This dependency renders…

Quantum Physics · Physics 2024-08-14 Ye-Min Zhan , Guan-Dong Mao , Yu-Ge Chen , Yue Yu , Xi Luo

The realization and manipulation of Majorana zero modes have drawn significant attention for their crucial role in enabling topological quantum computation. Conventional approaches to the braiding of Majorana zero modes rely on adiabatic…

Quantum Physics · Physics 2026-01-28 Fei Yu , P. Z. Zhao , Jiangbin Gong